Determine whether the lines are parallel, intersect, or coincideY = 4x - 53x + 4y = 7
Answers
Answer:
Explanation:
Given:
y=4x-5
3x+4y=7
We can check if the lines are parallel, intersect, or coincide by graphing. To graph, we plug in any values for x to determine the y values.
The graph of the lines is shown below:
So based on the graph, the lines intersect at a point.
Therefore, the lines intersect.
Related Questions
Each coordinate grid shows the graph of a system of two equations. Which graph represents a system of equations with no solution? Select all that apply.
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System of Linear Equations with No Solutions
A system has no solutions if two equations are parallel.
Therefore, The answer would be option:
#2 Funding the perimeter and area of the composite figure.
Answers
1)
We can find the circumference using the formula
[tex]C=2\pi r[/tex]but remember that the diameter is 2 times the radius
[tex]d=2r[/tex]So we can use the formula using radius or diameter, the problem gives us the diameter, so let's use it, so the formula will change a little bit
[tex]C=\pi d[/tex]Where "d" is the diameter.
d = 40 yd, and π = 3.14, so the circumference will be
[tex]\begin{gathered} C=\pi d \\ C=3.14\cdot40=125.6\text{ yd} \end{gathered}[/tex]And to find out the area we can use this formula
[tex]A=\frac{\pi d^2}{4}[/tex]Or if you prefer use the radius
[tex]A=\pi r^2[/tex]Let's use the formula with the diameter again
[tex]\begin{gathered} A=\frac{\pi d^2}{4} \\ \\ A=\frac{3.14\cdot(40)^2}{4} \\ \\ A=1256\text{ yd}^2 \end{gathered}[/tex]Then the circumference is 125.6 yd and the area is 1256 yd^2
2)
Here we have a compounded figure, we have half of a circle and a triangle, so let's think about how we get the perimeter and the area.
The perimeter will be the sum of the sides of the triangle and half of a circumference, we already know the length of the triangle's side, it's 10.82, we got to find the half of a circle circumference and then sum with the sides.
We know that
[tex]C=\pi d[/tex]And we can see in the figure that d = 12 mm, then
[tex]C=\pi d=3.14\cdot12=37.68\text{ mm}[/tex]But that's a full circumference, we just want half of it, so let's divide it by 2.
[tex]\frac{C}{2}=\frac{37.68}{2}=18.84\text{ mm}[/tex]Now we have half of a circumference we can approximate the perimeter of the figure, it will be
[tex]\begin{gathered} P=10.82+10.82+18.84 \\ \\ P=40.48\text{ mm} \end{gathered}[/tex]The area will be the area of the triangle sum the area of half of a circle
Then let's find the triangle's area first
[tex]A_{}=\frac{b\cdot h}{2}[/tex]The base "b" will be the diameter of the circle, and the height "h" will be 9 mm, then
[tex]A_{}=\frac{12\cdot9}{2}=54\text{ mm}^2[/tex]And the half of a circle's area will be
[tex]A=\frac{1}{2}\cdot\frac{\pi d^2}{4}=\frac{3.14\cdot(12)^2}{8}=$$56.52$$\text{ mm}^2[/tex]Then the total area will be
[tex]A_T=56.52+54=110.52\text{ mm}^2[/tex]Therefore, the perimeter and the area is
[tex]\begin{gathered} P=40.48\text{ mm} \\ \\ A=110.52\text{ mm}^2 \end{gathered}[/tex]Which is the better buy: $40.00 for 30 gallons of gas or $8.50 for 8 gallons ofgas?
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Ok, we need to calculate the value of each gallon and see which is the cheapest:
First Option: 40/30=1.33
Second Option: 8.5/8=1.0625
This mean that the better buy is $8.50 for 8 gallons of gas.
i inserted a picture of the question can you please list the answers as well
Answers
Solution
We want to find the equation of the line given in the graph
We can see the four points on the graph where the line pass through
The points are
[tex](4,4),(2,3),(0,2),(-4,0)[/tex]We first obtain the slope (m)
The formula for finding the slope is given as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Using the points (0,2) and (-4,0) (indeed we can pick any two points, we will still obtain the same answer)
Here
[tex]\begin{gathered} x_1=0 \\ y_1=2 \\ x_2=-4 \\ y_2=0 \end{gathered}[/tex][tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{0-2}{-4-0} \\ m=\frac{2}{4} \\ m=\frac{1}{2} \\ m=0.5 \end{gathered}[/tex]We can use any of the points above to find the equation
Equation of a line is given by
[tex]y-y_1=m(x-x_1)[/tex]Using (4,4)
[tex]y-4=0.5(x-4)[/tex]Option D is correct
Using (2,3)
Mrs barker wants to tile her washroom floor. The area of the washroom floor is 6.75 square metres. She determines that she will use 300 square tiles. What are the dimensions of the tiles, in centimetres?
Answers
ANSWER
15 centimeters
EXPLANATION
First, we have to find the area of the washroom floor in square centimeters, by multiplying the area in square meters by 10,000 or, in other words, moving the decimal point 4 units to the right,
[tex]6.75m^2=6.75\times10,000cm^2=67,500cm^2[/tex]Now, we know that Mrs. Barker will use 300 square tiles, so the area of each tile must be,
[tex]A_{tile}=\frac{A_{floor}}{number\text{ }of\text{ }tiles}=\frac{67,500cm^2}{300}=225cm^2[/tex]Thus, if the tiles are squared, the side length of each tile is the square root of the area of each tile,
[tex]s=\sqrt{A_{tile}}=\sqrt{225cm^2}=15cm[/tex]Hence, the side length of each tile is 15 cm.
Lincoln made 3 quarts of iced tea and Jasmine made 5 quarts of iced tea using the same recipe. Part A: How many cups of iced tea did Lincoln and Jasmine make all together? cho mark
Answers
Part A
number of ice tea lincoln made = 3 quarts
number of ice tea jasmine made = 5 quarts
Altogether we have = 8 quarts
But, there are four cups in 1 quart
Therefore, 8 quarts would give 8 x 4 cups = 32 cups
In conclusion, jasmine and lincoln made 32 cups of ice tea altogether.
Part B
There are 16 cups in one gallon
Lincoln and jasmine made 32 cups of ice tea
Therefore the number of gallons of ice tea they made is
=32/16 = 2gallons
Also, 1/2 bottle = 1 gallon
Therefore, the 2 gallons would give
[tex]\begin{gathered} =\frac{2}{\frac{1}{2}}=\frac{2}{0.5}=4 \\ \end{gathered}[/tex]Therefore the 2 gallons would give 4 bottles of ice tea
For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given value. r= 6.45 in, θ= 5 pi\6, s=?
Answers
Calculate the arc length by using the following formula:
[tex]s=r\theta[/tex]Replace the values of r and θ and simplify:
[tex]\begin{gathered} s=(6.45in)(5\frac{\pi}{6})=(6.45)(\frac{5}{6})(3.14) \\ s=16.8775in \end{gathered}[/tex]Hence, the arc length is 16.8775 in
Plot the point (3,3)
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Step-by-step explanation:
Plot the point (3,3):
this means where x = 3 and y = 3
Answer:
statistics classifying samples (I am not sure if this is B or C)
Answers
ANSWER :
C.
EXPLANATION :
Cluster sampling divides the population into smaller groups known as clusters.
Then randomly selecting among these clusters to form a sample.
In A, there's no grouping.
In B, there is a grouping and he randomly chooses 9 groups and selects all of the passengers.
In C, there is a grouping and he selects 12 passengers at random from each group
The best scenario that represents a cluster sampling is C.
Please help nobody knows the answer to my question. Round to 2 decimal places.
Answers
To answer this question we will use the z-score.
Recall that the z-score is given as follows:
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma}, \\ \text{where x is the observed value, }\mu\text{ is the mean, and }\sigma\text{ is the standard deviation.} \end{gathered}[/tex]The z-score of 54 is:
[tex]z=\frac{54-50}{5}=\frac{4}{5}=0.8.[/tex]The z-score of 56 is:
[tex]z=\frac{56-50}{4}=\frac{6}{5}=1.2.[/tex]Now, the probability of flipping 54, 55, or 56 heads is the same as the following probability:
[tex]P(0.8Now, recall, that:[tex]P(aNow, from the given table we get that:[tex]\begin{gathered} P(0.8)=0.7881, \\ P(1.2)=0.8849. \end{gathered}[/tex]Therefore:
[tex]\begin{gathered} P(0.8Answer: 0.10.Perform the indicated operation and write the answer in the form A+Bi
Answers
The Solution:
Given:
[tex](3+8i)(4-3i)[/tex]We are required to simplify the above expression in a+bi form.
Simplify by expanding:
[tex]\begin{gathered} (3+8i)(4-3i) \\ 3(4-3i)+8i(4-3i) \\ 12-9i+32i-24(-1) \end{gathered}[/tex]Collecting the like terms, we get:
[tex]\begin{gathered} 12-9i+32i+24 \\ 12+24-9i+32i \\ 36+23i \end{gathered}[/tex]Therefore, the correct answer is [option 3]
Simplify the square root of 25x^4
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
[tex]\sqrt{25x^4}[/tex]Step 02:
simplify (radical):
[tex]\sqrt{25x^4}=\sqrt{5^2x^4}=5x^2[/tex]The answer is:
5x²
LM is a perpendicular bisector of NP. The length of LN is 12w + 7, and rhe length of LP is 15w - 5. What is the length of LN?(every capital letter has a line over it and i cant add that. Ex. There would be a line over LP. Because its a line. But i dont know to do that so im adding this!)
Answers
LN = LP
So, we can say:
12w + 7 = 15w - 5
Solving for w,
7 + 5 = 15w - 12w
12 = 3w
w = 12/3
w = 4
Length of LN is 12w + 7
plug in w = 4 to get:
12 (4) + 7
48 + 7 = 55
Length of LN is 55
Find an equation for the line that passes through the points (1, -3) and (-5,5).=X$?
Answers
To answer this question we will use the following two-point formula for the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1).[/tex]Therefore the equation of the line that passes through the points (1, -3) and (-5,5) is:
[tex]y-(-3)=\frac{5-(-3)}{-5-1}(x-1).[/tex]Simplifying the above result we get:
[tex]\begin{gathered} y+3=\frac{8}{-6}(x-1), \\ y+3=-\frac{4}{3}x+\frac{4}{3}. \end{gathered}[/tex]Subtracting 3 from the above result we get:
[tex]\begin{gathered} y+3-3=-\frac{4}{3}x+\frac{4}{3}-3. \\ y=-\frac{4}{3}x-\frac{5}{3}. \end{gathered}[/tex]Answer:
[tex]y=-\frac{4}{3}x-\frac{5}{3}.[/tex]Fragment Company leased a portion of its store to another company for eight months beginning on October 1, at a monthly rate of $1,250. Fragment collected the entire $10,000 cash on October 1 and recorded it as unearned revenue. Assuming adjusting entries are only made at year-end, the adjusting entry made on December 31 would be:
Answers
Given:
Credit to rent earned for
Amount of total rent = $10,000
Amount unearned = amount of total rent ( 3 month / 8 month)
[tex]\begin{gathered} \text{Amount unearned=10000}\times\frac{3}{8} \\ =3750 \end{gathered}[/tex]Unearned rent is : $3750
Erica paid a self employment tax last year. she calculated the self-employment tax for different amounts of net earnings and recorded them in a table shown . Which function describes the relationship between X ,amount of net earrings and y ,the self- employment.
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Answer:
[tex]y=\frac{153}{1,000}x[/tex]Step by step explanation:
Linear functions represent situations that have a constant rate of change, and they are represented by:
[tex]\begin{gathered} y=kx \\ \text{where,} \\ k\text{ is the constant rate of change} \end{gathered}[/tex]We can calculate the constant rate of change with the following formula:
[tex]\begin{gathered} k=\frac{\Delta y}{\Delta x} \\ k=\frac{2,295}{15,000} \\ k=\frac{153}{1,000} \end{gathered}[/tex]Then, the function that describes the relationship between x, the number of net earnings, and y, the self-employment tax would be:
[tex]y=\frac{153}{1,000}x[/tex]Which angles are adjacent and do NOT form a linear pair?
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Adjacent angles share a common side and a common vertex but do not overlap each other.
A linear pair is two adjacent angles that creat a straight line, thus adjacent angles which do not form a linear pair could be:
[tex]\angle2\text{ and }\angle3[/tex]309+23143240-59234881
Answers
Given data:
The given numbers are 309+23143240-59234881.
The simplification of the given numbers is,
-36091332.
the smallest four digit number that can be formed using 5, 6, 3, 0 is
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Answer:
3056 can be be formed as the smallest four digit number
) - At a farming supply store 7 pounds of seed cost $141.96. If a farmer needed 4 pounds ofseeds, how much would it cost him?
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Hello
From the question, we know that 7 pounds of the seeds cost $141.96.
4 pounds would be assumed to be x and we can solve for x.
[tex]\begin{gathered} 7\text{ pounds = 141.96} \\ 4\text{ pounds = x} \end{gathered}[/tex]Cross multiply both sides.
[tex]\begin{gathered} 7\times x=4\times141.96 \\ 7x=567.84 \end{gathered}[/tex]Divide both sides by the coefficient of x
[tex]\begin{gathered} 7x=567.84 \\ \frac{7x}{7}=\frac{567.84}{7} \\ x=81.12 \end{gathered}[/tex]From the calculation above, the cost of 4 pounds of the seeds is equal to $81.12
To get the variable r alone on one side of the equation below, Amy multiplied both sides of the equation by 4. is she correct? Explain why or why not. Solve the equation. 4r = 124
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Given the equation
4r=124
You have to clear the value of r, this is, that r ends up alone in one side of the equation and the rest of the terms of the equation stay in the other side.
As you can see r is being multiplied by 4, to nullify this multiplication you have to "reverse the operation" that is, divide it by four.
And for the equality to continue, every operation made in one side of the equation has to be done in the other side, this means that if you divide 4r by 4, you have to divide 12
An accountant finds that the gross income, in thousands of dollars, of a small business can be modeled by the polynomial −0.3t 2 + 8t + 198, where t is the number of years after 2010. The yearly expenses of the business, in thousands of dollars, can be modeled by the polynomial −0.2t 2 + 2t + 131.a. Find a polynomial that predicts the net profit of the business after t years. b. Assuming that the models continue to hold, how much net profit can the business expect to make in the year 2016?I know that the equation is -0.1t^2+6t+67, but i don't know how to find part b.
Answers
ANSWER:
STEP-BY-STEP EXPLANATION:
a.
We know that the net profit is equal to the incomes minus the expenses, therefore, the final equation would be:
[tex]\begin{gathered} \text{profit = income - expense} \\ \text{replacing} \\ p=-0.3t^2+8t+198-(-0.2t^2+2t+131) \\ p=-0.3t^2+8t+198+0.2t^2-2t-131 \\ p=-0.1t^2+6t+67 \end{gathered}[/tex]b. t is the number of the years after 2010. Therefore, for the year 2016, x is equal to 6 (2016 - 2010), we replace:
[tex]undefined[/tex]3.In the figure. What are the coordinates of the image of point B after a translation (x+4, y-7) ?
Answers
Answer:
(5, -5)
Explanation:
The coordinate of Point B is: (1,2)
If we carry out the translation (x+4, y-7) on point B, we have:
[tex]B(1,2)\rightarrow (1+4,2-7)=B^{\prime}(5,-5)[/tex]The coordinates of the image of point B is (5, -5)
Theoretical Probabilities. Use the theoretical method to determine the probability ofthe following outcomes and events. State any assumptions that you make. Drawing a king from a standard deck of cards
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Recall that the theoretical probability that an event occurs is given by the following quotient:
[tex]\frac{\text{favorable cases}}{total\text{ cases}}.[/tex]We know that in a standard deck there are 52 cards from which 4 are kings, therefore:
[tex]\text{Probability of drawing a king=}\frac{4}{52}.[/tex]Answer:
[tex]\frac{4}{52}\text{.}[/tex]20 quarts=_ 20_×(1 quart) =_20_×(1\4 gallon) =_20/4_gallons =_5_gallons
Answers
From the question, we are to convert 20 quartz to gallons.
Given
1 quartz = 1/4 gallons
20 quartz = x
Cross multiply and find x;
1 * x = 20 * 1/4
x = 20/4
x = 5
Hence 20 quartz is equivalent to 5 gallons
fill in the table using the function rule y= 6x-3
Answers
Answer:
-9,-3,3,27
Step-by-step explanation:
Just multiply x by 6 and subtract 3 to that
Finding the mode and range of a data set Each day, Kaitlin records the number of news articles she reads. Here are her results for the last eight days. 7, 3, 8, 5, 7,7,7,8 Find the mode and the range for the data. Mode: Range: X 5 ?
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Explanation:
The set of values are given below as
[tex]7,3,8,5,7,7,7,8[/tex]Mode:
This the data that occurs highest or the dat that has the highest frequency
Range:
The is the difference between the lowest val and the highest value
[tex]Range=highest-lowest[/tex]Hence,
The final answers are
[tex]\begin{gathered} mode=7(it\text{ occurs 4 times\rparen} \\ range=8-3=5 \end{gathered}[/tex]Hence,
The final answer is
[tex]\begin{gathered} mode=7 \\ Range=5 \end{gathered}[/tex]16 ftTo the nearest tenth, what is the height of the triangle?A. 9 feetB. 14.4 feetC. 17.5 feetD. 23 feethB7 ftС
Answers
In the right triangle, there is a relation between the 2 legs of the right angle and the hypotenuse (the opposite side to the right angle)
[tex](hypotenuse)^2=(leg1)^2+(leg2)^2[/tex]From the given figure
∵ leg1 = 7 ft
∵ leg2 = h ft
∵ hypotenuse = 16 ft
→ Substitute them in the rule above to find h
[tex](16)^2=(7)^2+h^2[/tex]∵ 16^2 = 256 and 7^2 = 49
[tex]\therefore256=49+h^2[/tex]→ Subtract 49 from both sides
[tex]\begin{gathered} 256-49=49-49+h^2 \\ 207=h^2 \end{gathered}[/tex]→ Take square root for both sides to find h
[tex]\begin{gathered} \therefore\sqrt[]{207}=\sqrt[]{h^2} \\ 14.38749=h \end{gathered}[/tex]→ Round it to the nearest tenth
∴ h = 14.4 feet
The answer is B
how do you solve 4 1/4 + 7/8
Answers
The given expression is,
[tex]4\frac{1}{4}+\frac{7}{8}[/tex]So, this can be solved as,
[tex]\begin{gathered} \frac{4\times4+1}{4}+\frac{7}{8}=\frac{17}{4}+\frac{7}{8} \\ \rightarrow\frac{8\times17+4\times7}{8\times4}=\frac{164}{32}=\frac{41}{8} \end{gathered}[/tex]Explanations:
To solve the mixed fraction,
[tex]4\frac{1}{4}\rightarrow\frac{(4\times4)+1}{4}=\frac{17}{4}[/tex]So, now we are adding the terms, as given in the expression,
[tex]\frac{17}{4}+\frac{7}{8}=\frac{(8\times17)+(7\times4)}{4\times8}[/tex]Here we are employing the rule,
[tex]\frac{a}{b}+\frac{c}{d}=\frac{ad+cb}{bd}[/tex]A/ Question 8 (5 points) A recent Nielson rating poll contact a random sample of Americans to determine the amount of time their family watched television on a Tuesday night. Exactly 250 people were involved in the poll with 37 people watching no television. 51 people watching 30 minutes of television. 17 people watching 45 minutes of television. 20 people watching 60 minutes of television, 19 people watching 75 minutes of television. 11 people watching 90 minutes of television. 50 people watching 120 minutes of television, and 45 people watching 240 minutes of television. Determine the mode from the given Nielson rating poll.
Answers
Answer
The mode of the Nielsen rating poll is the group that watch 30 minutes of televison.
Explanation
The mode in a dataset is the variable with the highest frequency. That is, the variable that occurs the most in the dataset.
37 people watching no television.
51 people watching 30 minutes of television.
17 people watching 45 minutes of television.
20 people watching 60 minutes of television.
19 people watching 75 minutes of television.
11 people watching 90 minutes of television.
50 people watching 120 minutes of television.
45 people watching 240 minutes of television.
The group with the highest frequency (51) is the the group that watch 30 minutes of television.
Hope this Helps!!!
