The figure below shows a line graph and two shaded triangles that are similar: A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 8, 4, and 0, 0, and 8, negative 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to negative 4, 2 labeled as A, one leg is from 0, 0 to negative 4, 0, and the second leg is from negative 4, 0 to negative 4, 2. Another shaded right triangle is formed with the hypotenuse from negative 4, 2 to negative 6, 3, labeled as B, one leg is from negative 4, 2 to negative 6, 2, and the second leg is between negative 6, 2 to negative 6, 3. Which statement about the slope of the line is true? It is −2 throughout the line. It is fraction negative 1 over 2 throughout the line. The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B. The slope from point O to point A is 2 times the slope of the line from point A to point B.
Answers
Answer:
C
Step-by-step explanation:
The answer is C it was on my test
Slopes are simply the average rate of change of a linear function and graph.
The true statement about the slope of the line is (b) it is -1/2 throughout
From the graph, we have a straight line that passes through the hypotenuse of both triangles.
This means that, the slope of the line is uniform/constant through the points it passes through.
The line passes through the following points
[tex](x,y) = (0,0)\ (-4,2)[/tex]
The slope (m) of the line is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{2 - 0}{-4- 0}[/tex]
Simplify the expression
[tex]m = \frac{2}{-4}[/tex]
Simplify fraction
[tex]m = -\frac{1}{2}[/tex]
This means that, the slope of the line is -1/2 throughout
Read more about slopes at:
https://brainly.com/question/18680909
Related Questions
Find the equation of the line that is perpendicular to y = x+1
and contains the point (9,12).
Answers
Answer:
y = -x + 21
Step-by-step explanation:
Equations that are perpendicular don't normally have the same slope as the original equation..
When you graph the given equation and the point, we can see that in order to make an equation that would cross through (9,12) and the line, we would need an equation with a negative slope.
**Using desmos (online graphing calculator)
If we continue to plug in numbers for our slope, we see that the equation
y = -x + 21 goes through point (9,12) and is perpendicular (intersecting or crossing through) line y = x + 1.
We can check our work by plugging in the coordinates of the point 9, 12 into our equations to see if they equal the same values..
y = -x + 21 --> 12 = -9 + 21 --> 12 = 21 - 9 --> 12 = 12 (correct)
Find the dot product of u = 〈3, –4〉 and v = 〈–7, –2〉.
- u · v = –29
- u · v = –22
- u · v = –13
- u · v = –10
Answers
Answer:
u · v = - 13
Step-by-step explanation:
dot product of u = 〈3, - 4〉and v =〈- 7, - 2〉
(3î - 4j) • (- 7î - 2j) = - 21 + 8 = -13
-TheUnknownScientist
The dot product of u = 〈3, - 4〉 and v =〈- 7, - 2〉 as u · v = - 13.
How to find the dot product of two function?The dot product of the two function u and v can be calulated as
u · v = (xî + yj) • (aî + bj)
The dot product of u and v is a scalar because dot product is always a scalar.
The dot product of u = 〈3, - 4〉 and v =〈- 7, - 2〉
u · v = (xî + yj) • (aî + bj)
= (3î - 4j) • (- 7î - 2j)
= - 21 + 8
= -13
Learn more about the dot product here;
https://brainly.com/question/14455586
#SPJ2
Thgtsdgsgsdfsfsfswefsdfsfsfsfsdfsf
Answers
Answer:
Free points i guess
Step-by-step explanation:
thanks
Thgtsdgsdfsfsfswefsdsfsfsfsdfsf
Math question................
Answers
sup lol dont know this
Answer:
m<2 =49 M<1 and M<3 =131
Step-by-step explanation:
angle 4 and 2 are coungruent. So M<4=M<2
angles 1 and 3 are congruent. so M<1=M<3
M<1 +M<4=180. so 180-M<4=m<1
180-49=131
If there are 4 trucks for every 5 cars how many trucks and cars are there?
Answers
Answer:
Step-by-step explanation:
^^there are 20 Trucks in total And 5 cars
Answer:
8 trucks and 10 cars
12 trucks and 15 cars
16 trucks and 20 cars
20 trucks and 25 cars
24 trucks and 30 cars
Step-by-step explanation:
Basically any of those would be correct
4. Which value of x makes the equation true? 0.4(5 - 2x) = 3 -0.6(x - 1)
Answers
Step-by-step explanation:
can u pls help me with this question
Answers
The time that a dolphin can hold its breath underwater compared to the time a penguin can hold its breath underwater is represented by the ratio 3 to 4. If a penguin can hold its breath for 20 minutes, how long can a dolphin hold its breath underwater?
Answers
Answer:
12 minutes
Step-by-step explanation:
3:4
?:20
5 times 4 is 20. So multiply 3 by 4. 3 times 4 is 12. A dolphin would hold its breath for 12 minutes.
Rachel read 30 minutes for every 10 minutes that she spent watching television. Nicolas read 45 minutes for every 15 minutes that he watched television. The ratio of time that Rachel and Nicolas spent reading to the time they spent watching television is___
A.The same
B.different
Answers
Answer:
B.different
Step-by-step explanation:
Rachel read 30 minutes for every 10 minutes that she spent watching television
30 - 10 = 20
Nicolas read 45 minutes for every 15 minutes that he watched television
45 - 15 = 30
Hope It Helps Friend :)
(-4y + 3) + (11y - 5)
Answers
Answer:
=7y−2
Step-by-step explanation:
(-4y + 3) + (11y - 5)
−4y+3+11y+−5
−4y+11y)+(3+−5)
=7y+−2
Hope This helps!
Answer:
7y-2
Step-by-step explanation:
took the test
Theater has 384 seats each row has 16 seats the area model represents the situation part A what is the value of X in the area model and your answer in the box part B how many rows of seats are inside the theater enter your answer in the box
Answers
Answer:
1. 4 2) 3.14
Step-by-step explanation:
Answer:
6141
Step-by-step explanation:
What is the rate unit of running 4 miles in one hour?
A)hours
B)miles per hour
C)miles
B)4
Answers
Answer:
b
Step-by-step explanation:
Answer:
B)miles per hour
Step-by-step explanation:
Choose the equation that represents the line that passes through the point (-1, 6) and has a slope of -3.
y=-3x + 3
y=-3x - 6
y = 3x - 3
y = 3x - 1
Answers
Answer:
Equation of line is [tex]\mathbf{y=-3x+3}[/tex]
Option A is correct.
Step-by-step explanation:
We need to write an equation that represents the line that passes through the point (-1, 6) and has a slope of -3.
The equation will be of slope-intercept form: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
We are given slope m =-3, we need to find y-intercept b
Finding y-intercept
using slope m=-3 and point (-1, 6)
[tex]y=mx+b\\6=-3(-1)+b\\6=3+b\\b=6-3\\b=3[/tex]
So, y-intercept b is 3
Now the equation of line having slope m= -3 and y-intercept b = 3 is
[tex]y=mx+b\\y=-3x+3[/tex]
Equation of line is [tex]\mathbf{y=-3x+3}[/tex]
Option A is correct.
Answer:
a or the first one
Step-by-step explanation:
y=-3x+3
Point out the possible mistakes in each of the survey questions. You do not need to correct the question, just point out the mistakes.1. A university computer center survey on the university health center: check the response that best reflects how you use the university health center: infrequently occasionally frequently never 2. A survey of DH motorcycle company's retail dealers: Should the DH company continue its generous cooperative advertising campaign? 3. A telephone survey of US general public: In the next year, after accounting for inflation, do you think your real personal income will go up or down? Go up more than 15% Go up more than 5% Go up Stay the same Go down Go down 5% Go down more than 5% Do not know.
Answers
Answer:
Failing to write clear and specific questions can hinder your respondents' ability to answer. The standard is that people should have a consistent understanding of what is being asked of them. If someone could interpret a question differently than you intended, the question can be improved. Avoid ambiguities.
Step-by-step explanation:
Why does it matter if survey questions are poorly worded? A good questions must be simple, to the point and unbiased. The incorrect choice of words is what makes a questions poorly worded, for example, when you are asking two things at once (in a questions) and expect one answer, that's a poorly worded question.
Sarai was given the function, f(x) = x2 - 2x + 8.
For what x value(s) would f(x)=20?
Answers
Answer:
f(8)=20..The answer is 8 :)
When the transformation T 2,-1 is performed on point A, its image is point (-3.4). What are the coordinates of A?
1) (5,-5)
2) (-5,5)
3) (-1,3)
4) (-6,-4)
Answers
Answer:2
Step-by-step explanation:
Transformation of a point in a graph refers to the shifting of the point at the graph at its coordinates. The coordinate of the point A is (5,-5). The option 2 is the correct option.
Given information-The transformation T(2,-1)
The image of after the transformation is at point A(-3,4).
Transformation-Transformation of a point in a graph refers to the shifting of the point at the graph at its coordinates.
To move a graph up vertically and left horizontally with 1 units, we need to add 1 at both the coordinates with 1 units on the graph.
As the result of the point after transformation is (-3,4). Therefore the point A [tex](x,y)[/tex] is transformed with units [tex]T(2,-1)[/tex].
Let the x coordinate of the point A is x. Thus,
[tex]x=-3-2\\ x=-5[/tex]
Thus the x coordinate of the point A is at the negative x with 5 unit left.
Let the y coordinate of the point A is y. Thus,
[tex]y=4-(-1)\\ y=-4+1\\ y=5[/tex]
Thus the y coordinate of the point A is at the positive y with 5 unit up.
Hence the coordinate of the point A is (5,-5). The option 2 is the correct option.
Learn more about the transformation of the point here;
https://brainly.com/question/14277554
There are 24 grams of sugar in 8 ounces of chocolate milk. How many grams of sugar are in 1 ounce of chocolate milk?
Answers
Answer:
3
Step-by-step explanation:
24 divided by 8 is 3
what decimal is 72/10 equal to
Answers
Answer:
To write 72/10 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 72 by 10 what we write down as 72/10 and we get 7.2
And finally we have:
72/10 as a decimal equals 7.2
Answer:
The correct answer to this problem is 7.2
- Trix
A decreasing function g satisfies g(4) = 6 and g'(4) = -2. Which of the following statements about the inverse of g must be true?
a. (g^-1)'(6) = -2
b. (g^-1)'(-2) = 4
c. (g^-1)'(6) = -2
d. (g^-1)'(6) = -1/2
Answers
The inverse function theorem (terms and conditions apply) says that, if f(a) = b, then
(f ⁻¹)'(b) = 1 / f '(a) = 1 / f '(f ⁻¹(b))
We're given that g (4) = 6, so from the theorem it follows that
(g ⁻¹)'(6) = 1 / g '(4) = -1/2
so only D must be true.
B might also be true, but we don't have enough information to determine that.
The statement that is true about the inverse of g from the given options is;
Option D; (g ⁻¹)'(6) = -1/2
The theorem for inverse functions is one that is stated by the relationship that if f(x) = y, then the derivative of the inverse function is given as;
(f ⁻¹)'(y) = 1/f'(x) = 1/f'(f ⁻¹(y))
From the question, we see that; g(4) = 6 and g'(4) = -2. Thus, from the theorem, we can see that;
(g ⁻¹)'(6) = 1/g'(4)
Plugging in -2 for g'(4) gives;
(g ⁻¹)'(6) = -1/2
Looking at the options, the only one that corresponds with our answer is Option D.
Read more at; https://brainly.in/question/3055490
The polygons are similar. Find the value of x.
Answers
Typing 731 words in 17 minutes
Answers
Answer:
im just testing this but if you did that you would be slow as heck.
Step-by-step explanation:
17 minutes is decent so...
find the slope of the line that passes through the points (0, 6) and (20, 14).
Answers
Answer:
2/5
Step-by-step explanation:
f(x) = 5 - 2x and g(x)= x^2+ 7x, find each value.
g(3)
f(m)
f(1) + g(2)
f(11)
Answers
Answer:
Step-by-step explanation:
f(x) = 5 - 2x and g(x)= x^2+ 7x, find each value.
g(3)
f(m)
f(1) + g(2)
f(11)
ratios for 25 scarves to 8 hats
Answers
Answer:
25:8
50:16
75:24
100:32
125:40
150:48
175:56
Step-by-step explanation:
All of these are equivalent to 25:8.
Hope it helps!
a cake recipe needs to be baked at 350 degrees Fahrenheit (°F). A pizza recipe needs to be baked at a higher temperature.
Which value could represent the baking temperature of the pizza?
A. -375°F
B. -425°F
C. 400°F
D. 300°F
Answers
Is higher than 350
As the pizza recipe has to be baked at a higher temperature.
Which point is the best approximation of the relative maximum of the polynomial function graphed below?
Answers
Answer:
D
Step-by-step explanation:
what is 2/3 divided by 1/6
0 2
0 3
0 4
0 6
Answers
what is 2/3 divided by 1/6=4
Rashawn puts $550 in an account earning 8% simple interest annually. How much will he have in his account after 6 years?
Answers
A number line going from negative 2 to positive 2 in increments of 1. There are 2 equal spaces between each number. The line contains negative 2 labeled A, B, negative 1, C, 0, D, 1, E, 2 labeled F. Identify the location of each point on the number line. 0.5 is point . Negative one-half is point . –1.4 is point . 2 is point .
Answers
Answer:
ITS A B F ON EDGE GUYS THE PEOPLE IN COMMENTS RIGHT!!!!!1
Answer:
0.5 is point D
-1/2 is point C
-1.4 is point B
2 is point F
Step-by-step explanation:
Pls give brainliest!
Name the decimal: 2.45.
Select the correct answer below:
two and forty-five hundredths
two hundred and forty-five thousandths
two hundredth forty tenths and five
two hundredth and forty-five
Answers
Answer:
It would be B. because the decimal places go into the hundredths.
