The line segment AB in the square pyramid is parallel to the base side
What is a Square PyramidA square pyramid is a three-dimensional shape with a square base and four triangular faces that meet at an apex. It is a type of polyhedron with five faces, a square base, and four triangular faces that meet at the top.
In this problem, the line segment AB is only parallel to the base side.
The base side of a square pyramid is the length of one side of the square base of the pyramid in which they are all equal to one another.
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3. What is the rate of a motorcycle that just traveled 14 miles in 12 minutes?
Answer: 70mph
Step-by-step explanation:
60/12=5so 12 x 5= 60and 14 x 5= 7070 miles per hourim assuming this is in miles per hour not km or ms/s
To find the end behavior
Answer:
hope this helps
Step-by-step explanation:
To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph
7) Jacob lives in an apartment. He has to tie an 185-meter long rope at the distance of 90 meter from the building to its roof. What is the height of the building?
8) There is a cycle ramp at the park. The ramp is mostly used by skateboarders. The incline of the ramp is 320. The height of the ramp is 10m. How long is the ramp?
HELP PLEASE :?
Using Pythagoras theorem, the height of the building is 161.6m and the length of the ramp is 319.2m
What is Pythagoras TheoremAccording to Pythagoras' Theorem, the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the two legs. It can be mathematically stated as a²+b² =c², where a and b represent the lengths of the triangle's two legs and c represents the length of the hypotenuse.
7)
Using Pythagoras's theorem, we can find the height of the ramp.
185² = 90² + b²
b² = 185² - 90²
b² = 26125
b = √26125
b = 161.6m
8)
Using Pythagoras's theorem,
x² = y² + z²
320² = 10² + z²
z² = 320² - 10²
z² = 102300
z = 319.8m
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
The volume of the cone if, The slant height is 5 cm, and the radius of the cone is 3 cm, is 37.68 cm³.
What is volume?
A 3D object's volume is the amount of actual space it occupies. It is a 2D shape's 3D equivalent of area. It is quantified in cubic units like cm³. By multiplying its length, height, and width, you may determine this.
Given:
The slant height, s = 5 cm, and the radius of the cone is 3 cm,
Calculate the height of the cone as shown below,
slant height² = height² + radius²
5² = h² + 3²
h² = 25 - 9
h = 4
Calculate the volume of the cone as shown below,
The volume of the cone = π × 3² × 4 / 3
The volume of the cone = 3.14 × 9 × 1.33
The volume of the cone = 37.68
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The graph shows the system
y = 2x + 1
y = 2x² + 1
Which ordered pairs are solutions of the system?
OO
(1, 0) and (1, 3)
(0, 0) and (0, 1)
(0, 0) and (1, 0)
(0, 1) and (1, 3)
4-
3+
2+
Answer: The solution of the ordered pairs are (0,1) and (1,3).
Step-by-step explanation:
I'm really confused on this question
The line from the hospital meets the line from the stadium, is where the University is located.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A sketch of the described bearings and locations of the stadium, university and the hospital is presented in the attached image to this question.
On The map, draw a four-cardinal points' cross at the stadium draw a line from the bearing 050° from the stadium's four cardinal points' cross. Leave the line as it is.
Then, draw another four cardinal points' cross at the hospital and draw a line from the bearing 300° from the hospital's four cardinal points' cross.
Wherever the line from the hospital meets the line from the stadium, is where the University is located.
Hence, the line from the hospital meets the line from the stadium, is where the University is located.
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Match each word problem to the equation that models it.
Answer:
see attached
Step-by-step explanation:
You want to match the given word problem with a suitable equation for solving it.
1. Sum of SquaresThe variable x is assigned to the larger of two numbers that differ by 2. That makes the smaller one (x -2). The sum of their squares is ...
x² + (x -2)² = 394
Simplifying, we get ...
x² +x² -4x +4 = 394
2x² -4x -390 = 0 . . . . . . . matches the first equation
2. FractionThe numerator of the fraction is 5 more than its denominator, x, so will be (x +5). Adding 3 to numerator and denominator, we get ...
[tex]\dfrac{(x+5)+3}{(x)+3}=\dfrac{4}{3}\\\\3(x+8)=4(x+3)\\\\\boxed{3x+24=4x+12}\qquad\textsf{matches the third equation}[/tex]
3. ReciprocalThe sum of x and its inverse is 4/3, so we have ...
x + 1/x = 4/3
Multiplying by 3x gives ...
3x² +3 = 4x
3x² -4x +3 = 0 . . . . . . . . . matches the second equation
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8. Torin is painting a portrait. He wants it to be square, with the mat around
it to be 7 cm wide. The area of the mat should be equal to the area of the
portrait itself. What should the dimensions of the portrait be, to the nearest
tenth of a centimetre?
Dimensions of the portrait are 12.25 cm to the nearest tenth of a centimeter.
What are Dimensions?
The dimension of a mathematical space is defined as the smallest number of coordinates required to specify each point within it.
To have the area of the mat equal to the area of the portrait, the portrait and the mat must have the same area. Since the mat is 7 cm wide, we can use that to find the dimensions of the portrait.
If the portrait is square, the side length will be the same as the width of the mat, plus the width of the portrait.
So, portrait width = 7 cm + portrait width
Solving for portrait width:
portrait width = 7 cm / 2 = 3.5 cm
So, the dimensions of the portrait are 3.5 cm x 3.5 = 12.25 cm
Therefore, dimensions of the portrait are 12.25 cm to the nearest tenth of a centimeter.
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How much money does Conor earn each minute he does yard work, if he works 3.25 hours at $9 an hour?
The money earned by Conor if he works 3.25 hours at $9 an hour is $29.25.
What is multiplication?The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.
Given:
The pay rate for the work, W = $9,
The time of work, t = 3.25 hours,
Calculate the money earned by Conor as shown below,
The money earned by Conor = The pay rate for the work × The time of work,
The money earned by Conor = 9 × 3.25
The money earned by Conor = 29.25
Thus, the money earned by Conor is $29.25.
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What is the exact solution to the system of equations shown on the graph? A. (-1 3/5, 4 1/5) B. (-1 1/5, 4 3/5) C. (-1 5/6, 6 2/3) D. (-1 1/5, 4 5/6)
The exact solution to the system of equations shown on the graph is
(-1 1/5, 4 3/5)
How to find the solution of the equation plotted in the graphThe solution of a graph is where the two graphs intersects. This point is known as point of intersection and at this point we have the solution
The point of intersection of the two graphs as shown are read, Knowing that all interval marked represents one unit
x intersection: the point is more than -1 and not up to -1.5, which is a value at exactly half of the two intervals hence the possible option is -1 1/5
y intersection: the point is more than 4 and more than to 4.5, which is a value at exactly half of the two intervals hence the possible option is
4 3/5
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A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy?
Answer: 14
Step-by-step explanation:
300 minus 80 = 220
220 is the budget for the shirts so we divide 220 by 15 to get 14
Hope this helps!
Answer:14 shirts
Step-by-step explanation:300- 80 = 220
220/ 15 = 14.6 round 14.6 to 14 (because you cant buy half a shirt)
you can get 14 shirts
It takes Thorton 4 hours to edit a video for his school. If he has already spent 2.5 hours on this video, what percent of the video is edited? Don’t forget to label and solve a decimal, not a fraction.
Using the concept of fraction, the percentage edited on the video is 62.5 percent.
What is PercentagePercentage is a standard mathematical concept used to express a portion of a whole number in terms of a hundred. It is denoted by the symbol “%” and is often expressed as a fraction or a decimal. For example, 25% can be expressed as 0.25 or 1/4.
In this problem, Thorton has done a 2.5 hours work. The percentage he has edited can be calculated using fraction or ratio as;
percentage edited = (2.5 / 4) × 100
Percentage = 0.625 × 100
Percentage = 62.5 %
From the above, Thorton has edited 62,5 percent of the video for his school project.
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Based on the table below, evaluate f(1)
The numeric value of the function f(x) at x = 1 is given as follows:
f(1) = 24.
How to obtain the numeric value from the table?The table is composed by a set of points in the following format:
(x, f(x)).
In which the input and output variables are given as follows:
x is the input.y is the output.From the points given in the table, the numeric values are listed as follows:
f(0) = 1.f(1) = 24 -> desired value.f(2) = 43.f(3) = 35.f(4) = 34.f(5) = 86.f(6) = 11.f(7) = 83.f(8) = 75.f(9) = 93.Any of these values can be used to evaluate the function at the input of x, hence at the input of x = 1, the numeric value is given as follows:
f(1) = 24.
Missing InformationThe function is given by the image presented at the end of the answer.
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The table shows the number of boxes needed to hold different numbers of baseballs. How many boxes are needed for 222 baseballs? Number of Baseballs Number of Boxes 492 82 486 81 480 80 474 79 468 78
Answer: this is very easy
Step-by-step explanation:
Fill in the table using this function rule.
A
y=-6x+1
X
-5
-1
0
1
1
0
0
X
3
As per the given function rule , y = -6x + 1 , the values will be 31, 7, 1, -5 -5 , 1, 1, -6X+1, -17.
What are functions?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is often represented as y = f. (x).
What is a function rule?The relationship between the input or domain and the output or range is known as the function rule. If and only if there is a single value in the range for each domain value, a relation is a function.
As per the given function rule in the question i.e y = -6x + 1
X Y
-5 31
-1 7
0 1
1 -5
1 -5
0 1
0 1
X -6X +1
3 -17
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Write 2.023 in repeated addition
The required repeated addition is given as 2.02 + 2.02 + 2.02.
What is repeated addition?The repeated addition of a number is the multiplication of the number with the number of times the number is repeated.
here,
The question seems to be incorrect,
The complete solution is provided at the end of the solution,
2.02 × 3, is the given expression, which is a multiplicative expression as 3 times of 2.02.
So the repeated addition is given as,
2.02 × 3 = 2.02 + 2.02 + 2.02
Thus, the required repeated addition is given as 2.02 + 2.02 + 2.02.
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Complete question.
Write 2.02 × 3 in repeated addition.
100 POINTS + BRAINLIEST
6. a) In 10 squares there are 22 dots
6. b) There are 102 squares are in the diagram which has 104 dots.
6. c) t(n) = a + (n - 1) d
7. a) mean = 6; median = 5
7. b) new card number = 14
This can be solved using geometic series concept.
What is geometric series?A geometric series is one where each pair of consecutive terms' ratios is a fixed function of the summation index. The ratio is a rational function of the summation index in a more comprehensive sense. creates what is known as a hyper geometric sequence. It is arithmetic if there is a common difference between the sequences. You can bet that anything is geometric if it has a common ratio. Similar to how the word arithmetic series denotes that each phrase is the arithmetic mean of its two neighbors, the name geometric series denotes that each term is the geometric mean of its two neighbors.
6. In the given figure we see that the dots are present here form a series.
In 1 square there are 4 dots.
In 2 squares there are 6 dots.
In 3 squares there are 8 dots.
So, they form a series.
a)
In 10 squares there are 22 dots
b)
There are 102 squares are in the diagram which has 104 dots.
c)
The formula of the series is:
t(n) = a + (n - 1) d
here a = 4 and d = 2
7.
a)
Jemina has 3 cards with the number of 5,2 and 11
Thus, mean = 5+2+11 /3 = 6
median = 5
b)
Next Jemina takes another card and the mean goes up by 2.
So, the number of new card:
2+5+x+11/4 = 8
or, 18 + x = 32
or, x = 14
So, new card number = 14
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Answer:
Step-by-step explanation:
6. a) In 10 squares there are 22 dots
6. b) There are 102 squares are in the diagram which has 104 dots.
6. c) t(n) = a + (n - 1) d
7. a) mean = 6; median = 5
7. b) new card number = 14
Your next math test has multiple choice and short answer problems and is worth 111 points. The multiple choice
problems are worth 3 points each and short answer problems are worth 4 points each. There are 32 problems total on
the test. How many of each kind of problem are on the test?
a) Write a system of equations to model the situation
How many of each kind of problem are on the test?
Step-by-step explanation:
Let M be the number of multiple choice problems and S be the number of short answer problems.
We can set up the following system of equations to represent this situation:
M * 3 + S * 4 = 111
M + S = 32
The first equation represents the total number of points on the test, and the second equation represents the total number of problems on the test.
To solve this system of equations, we can use a method such as graphing, substitution, or elimination.
Using the substitution method, we can solve for one variable in terms of the other and substitute it into the other equation. For example, we can solve the first equation for M:
M = (111 - S * 4) / 3
Then, we can substitute this expression for M into the second equation:
(111 - S * 4) / 3 + S = 32
Solving this equation for S gives us the number of short answer problems:
S = 12
To find the number of multiple choice problems, we can substitute this value for S into the expression for M that we derived earlier:
M = (111 - 12 * 4) / 3
Solving this equation gives us the number of multiple choice problems:
M = 8
Therefore, there are 8 multiple choice problems and 12 short answer problems on the test.
Write an equation of the form y = mx for the line shown below.
(2,6)
(1,3)
Answer:
y = 3x
Step-by-step explanation:
Slope = change in y / change in x
x, y
Given points: (2,6) and (1,3)
2 - 1 = 1
6 - 3 = 3
3/1 = 3
y = mx
y = 3x
From a plate of 18 apple slices, Nancy ate 3. Then Meg came along and ate 4 slices. Jim then ate 3 slices. Bruce took 6 slices for himself and a friend. in simplest form, what what fraction of the apple slices are still on the plate?
thanks for the points heres the answer 2
18
What is the linear function equation represented by the graph?
f (x)
Enter your answer in the box.
f(x)
The linear function equation represented by the graph will be f(x) = [tex]-\frac{x}{3} - 3[/tex].
Let y = f(x)
Given, when x = 0, y = -3
and when y = 0, x = -9
(x₁ , y₁) = (0, -3)
(x₂ , y₂) = (-9, 0)
Now linear equation
[tex]\frac{y - y_{1} }{x - x_{1} } = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]\frac{y - (-3) }{x - 0 } = \frac{0 - (-3) }{-9 - 0 }[/tex]
y+3 = [tex]-\frac{x}{3}[/tex]
y = [tex]-\frac{x}{3} - 3[/tex]
or f(x) = [tex]-\frac{x}{3} - 3[/tex]
Therefore, the linear function equation represented by the graph will be f(x) = [tex]-\frac{x}{3} - 3[/tex].
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really fast can someone help with this? it’s literally due in like five minutes
On solving the provided question, we can say that - the initial value in number line will jump to +12 value
what is number line?A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.
here,
the initial value of the number line is = 15
and on adding 12
it will jump to = 15 + 12
= 27
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
The correct representations of the inequality are -6x + 15 < 10 - 5x and x <-5. Options C and D
What are inequalities?Inequalities are described as mathematical relations that makes a non-equal comparison between two elements, variables, numbers or mathematical expressions.
They are often used to compare two numbers on the number line based their sizes.
From the information given, we have the inequality;
–3(2x – 5) < 5(2 – x)
expand the bracket
-6x + 15 < 10 - 5x
collect like terms
-6x + 5x < 10 - 15
add or subtract the like terms
-x < -5
Make 'x' the subject of formula
x < 5
Hence, the value is -6x + 15 < 10 - 5x
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The complete question:
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Compare two-and-one-fourth to two-and-one-eighth.
The comparison that exists between two-and-one-fourth to two-and-one-eighth would be = 2 × 1/4 is greater than 2 × 1/8.
What is a fraction?A fraction is defined as the representation of part of a whole number which has a numerator located at the top and the denominator located below.
The given number and fraction for comparison is as follows:
2 × 1/4 = 1/2
2 × 1/8 = 1/4
Therefore when two-and-one-fourth to two-and-one-eighth are compared the former is. greater than the later.
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(9- 1x +2x) - (2x square - 3x +5)
To simplify the expression (9 - 1x + 2x) - (2x^2 - 3x + 5), you can follow these steps:
1. Combine like terms:
(9 + 2x) - (2x^2 - 3x + 5)
2. Simplify:
2x + 9 - (2x^2 - 3x + 5)
3. Combine like terms:
2x + 9 - 2x^2 + 3x - 5
4.Simplify:
-2x^2 + 5x + 4
Therefore, the simplified form of the expression is -2x^2 + 5x + 4.
K
A study finds that out of every 500 babies born in the world, 45 have some kind of major birth defect. What is the
simplest way to assign random numbers to conduct a simulation based on this statistic?
Select the correct choice below and fill in the answer boxes to complete your choice.
OA. Use two-digit numbers 00-99; let 00-
represent babies born with some kind of major birth defect and
-represent babies born without a major birth defect.
OB. Use one-digit numbers 0-9; let 0- represent babies born with some kind of major birth defect,-
represent babies born without a major birth defect, and skip -9.
C. Use two-digit numbers 00-99; let 00- represent babies born with some kind of major birth defect.
represent babies born without a major birth defect, and skip -99.
OD. Use one-digit numbers 0-9; let 0- represent babies born with some kind of major birth defect and
represent babies born without a major birth defect.
View an example Get more help -
Clear all
Check answer
3:
بنا
correct:
There 9% represent babies born with a birth defect, and 09-99(9%) to represents babies without birth defects.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
According to one study, 45 out of every 500 babies born in the world have a serious birth defect.
Use two-digit numbers 00-99; let 00- represent babies born with some kind of major birth defect.
p = x/n
p = 45/500
p = 0.9 = 9%
So, the simplest way to assign random numbers to conduct a simulation based on this statistic, it can use 00-99(9%) to represent babies born with a birth defect, and 09-99(9%) to represent babies without birth defects.
Hence, the correct answer would be an option (B).
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Solve for x.
(8x-1) / 2 = (8x+7) / 5
Answer:
0
Step-by-step explanation:
(8x-1)/2=(8x+7)/5
We move all terms to the left:
(8x-1)/2-((8x+7)/5)=0
We calculate fractions
8x/()+(-((8x+7)*2)/()=0
We calculate terms in parentheses: +(-((8x+7)*2)/(), so:
-((8x+7)*2)/(
We multiply all the terms by the denominator
-((8x+7)*2)
We calculate terms in parentheses: -((8x+7)*2), so:
(8x+7)*2
We multiply parentheses
16x+14
Back to the equation:
-(16x+14)
We get rid of parentheses
-16x-14
Back to the equation:
+(-16x-14)
We get rid of parentheses
8x/()-16x-14=0
We multiply all the terms by the denominator
8x-16x*()-14*()=0
We add all the numbers together, and all the variables
8x-16x*()=0
Answer:
X= 19/24
Step-by-step explanation:
Cross multiply the two sides then we have something like this 5(8x-1)=2(8x+7)
Solve the equation 40x-5=16x+14
Group the like terms 40x-16x=5+14
Solve the second equation and it gives us X= 19/24
The figure above shows the graph of f', the derivative of a function f. The domain of the function f is the set of all x such that - 3 < = x < = 3. For what values of x, - 3 < x < 3, does f have a relative maximum? A relative minimum? Justify your answer. For what values of x is the graph of f concave up? Justify your answer. Use the information found in parts ( a ) and ( b ) and the fact that f ( - 3 ) = 0 to sketch a possible graph of f on the axes provided below.
Note: This is the graph of the derivative of f not the graph of f.
The evaluation of the graph of the derivative of f within the domain, -3 ≤ x ≤ 3 are as follows;
(a) The relative maximum is the point x = -2
The relative maximum is the point x = 0
(b) The graph is concave up at the relative minimum point
(c) Please find attached the graph of f created with MS Word
What is the derivative of a function?The derivative of f is the rate of change of the function f at the point in the domain of f. A symbol for the derivative of f is f'.
(a) The characteristics of a location of relative maximum and relative minimum based on the derivative are;
At a local maximum, we get; f'(x) = 0, f''(x) < 0
f' > 0 to the left of the relative maximum and f'< 0 to the right of the relative maximum, therefore;
The relative maximum of f for the values of -3 ≤ x ≤ 3 is at x = 2At a relative minimum, we get; f'(x) = 0, f''(x) > 0
f' < 0, to the left of the x-value of the relative minimum and f'> 0, to the right of the right of the relative minimum, therefore;
The x-value of the relative minimum is x = 0
(b) The graph of f is concave up at the relative minimum, where f' < 0 to the left sand f' > 0 to the right of the value of x
Therefore, the graph is concave upwards at the point x = 0
(c) Please find attached the possible graph of f created using MS Word, where the corresponding points are;
The point x = -2 as the relative maximum point
The point x = 0 as the relative minimum point
The point x = 0 as the point at which the graph is concave upwards
f' > 0 to the left of the point x = 2, and f' > 0 to the right of x = 2, the second derivative, f'' = 0 at x = 2, therefore, the point x = 2 is a point of inflection
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Please help with this send a screenshot with the answers
From the given figure the angles in the form as Same side interior angles, vertically opposite angles and etc.
What are parallel lines ?
Parallel lines can be defined as the lines which are equi distant from each other and they never intersect.
Given in the figure,
parallel lines and we have to find the how the angles are related to each other.
In the given figure 1 ,
The angles are Same side Interior Angles .
In the given figure 2 ,
The angles are Vertically opposite Angles .
In the given figure 3 ,
The angles are Alternate Exterior Angles .
In the given figure 4 ,
The angles are Alternate Interior Angles .
In the given figure 5 ,
The angles are Alternate Exterior Angles .
In the given figure 6 ,
The angles are Corresponding Angles .
In the given figure 8 ,
The angles are Vertically opposite Angles .
In the given figure 9,
The angles are Alternate Interior Angles .
Hence, From the given figure the angles in the form as Above.
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The graph of function f is shown. An exponential function on a coordinate plane passes through (minus 1, 7), (1, 2), (10, minus 1) and also intercepts the x-axis at 3 units and the y-axis at 4 units. Function g is represented by the table. x -1 0 1 2 3 g(x) 24 4 0 Which statement correctly compares the two functions? A. They have the same x- and y-intercepts. B. They have different x- and y-intercepts but the same end behavior as x approaches ∞. C. They have the same y-intercept and the same end behavior as x approaches ∞. D. They have the same x-intercept and the same end behavior as x approaches ∞.
considering the graph of exponential function given , the statement that correctly compare the function is
B. They have different x- and y-intercepts but the same end behavior as x approaches ∞.What is x and y intercepts?X - intercept and Y - intercept are the two main intercepts.
The x-intercept of a point where the line crosses the x-axis, while the y-intercept is where the line or graph crosses the y-axis.
At x - intercepts the value of y is zero h=following the given values the x intercept for function f is 3 units and 4 units for the y intercept
For function g, following the table, the x intercept is (2, 0) and the y intercept is (0, 4)
the end behavior for function f is x → ∞, y → -∞
the end behavior for function g is x → ∞, y → -∞
hence they have different x and y intercept but same end behavior
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