Two lines, C and D, are represented by the equations given below:Line C: y = x + 12
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why?

(4, 14), because one of the lines passes through this point
(4, 14), because the point lies between the two axes
(5, 17), because both lines pass through this point
(5, 17), because the point does not lie on any axis

Answers

Answer 1

Answer: Bought lines need to pass same point, so:

x+12 = y = y = 3x+2
x+12=3x+2 |-2
x+10=3x |-x
10=2x |/2
5=x
x+12 = y => 5+12 = y =>y = 17

(x,y) => (5,17)

Answer 2

Answer:

Answer:

5,17

Step-by-step explanation:

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The area of a rectangular wall of a barn is 108 square feet. Its length is 12 feet longer than the width. Find the length and width of the wall of the barn.

Answers

Area = Width x Length
Area = 108
Square root of 108 = 10.4

108/ 9 = 12 ...12 is not 12 larger than 9
108/ 6 = 18 ...18 is 12 larger than 6

108 = 6 x 18

Width = 6
Length = 18

Final answer:

To find the length and width of the wall of the barn, set up an equation using the given information. Solve the equation by factoring, and find the values of x and x + 12, which will be the width and length of the wall, respectively. The width of the wall is 6 feet, and the length is 18 feet.

Explanation:

To find the length and width of the wall of the barn, we can use algebra. Let's say the width of the wall is x. According to the problem, the length is 12 feet longer than the width, so the length is x + 12.

The area of a rectangle is found by multiplying the length by the width, so we can set up the equation

x(x + 12) = 108.

Solving this equation will give us the values of x and x + 12, which will be the width and length of the wall, respectively.

The equation is x(x + 12) = 108.

Expanding the equation gives x^2 + 12x = 108.

Rearranging the equation to bring everything to one side gives

x^2 + 12x - 108 = 0.

Factoring the quadratic equation gives (x + 18)(x - 6) = 0.

Setting each factor equal to zero gives x = -18 or x = 6.

Since we can't have a negative width, the width of the wall is 6 feet.

Therefore, the length of the wall is x + 12 = 6 + 12 = 18 feet.

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6^4x-5=6^2x solve for “x”

Answers

Answer:

x=1/252

x=0.00396825

Step-by-step explanation:

Hope this helped!!!

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Answers

Answer:

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Step-by-step explanation:

The answer to ur question is b

I am so confused about this graphing problem, just need answer doesn't have to show workRectangle ABCD has a length of 9 and a width of 7. Point D is the ordered pair (11, 2). Find points A, B, and C.

Answers

Assuming that A is on the top left, B is on the top right, and C is on the bottom left,
A = (2, 9)
B= (11, 9)
C = (2, 2)

Which of the following lines is not parallel to the graph of y= 9x+1?9y-x=2
y-9x=3
9x-y=2
27x-3y=2

Answers

The requried line is not parallel to the graph of y = 9x + 1 is 1. 9y - x = 2. Option A is correct.

To determine which line is not parallel to the graph of y = 9x + 1, we need to compare the slopes of each line to the slope of y = 9x + 1.

The equation y = mx + b represents a line with slope m. In the case of y = 9x + 1, the slope (m) is 9.

Now, let's check the slopes of each equation given:

A. 9y - x = 2:

To write this equation in the form y = mx + b, we rearrange it as y = (1/9)x + 2/9. The slope is (1/9), which is not equal to 9. Therefore, this line is not parallel to y = 9x + 1.

B. y - 9x = 3:

Rearranging this equation as y = 9x + 3, we can see that the slope is 9, which is equal to the slope of y = 9x + 1. Therefore, this line is parallel to y = 9x + 1.

C. 9x - y = 2:

Rewriting this equation in the form y = mx + b, we get y = 9x - 2. The slope is 9, which is equal to the slope of y = 9x + 1. Therefore, this line is parallel to y = 9x + 1.

D. 27x - 3y = 2:

To put this equation in the form y = mx + b, we divide both sides by 3, which gives 9x - y = 2/3. The slope is 9, which is equal to the slope of y = 9x + 1. Therefore, this line is also parallel to y = 9x + 1.

In summary, the line not parallel to the graph of y = 9x + 1 is 1. 9y - x = 2. Option A is correct.

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I hope this helps you

The table below shows the blood types of 75 donors after a one-day blood drive. Based on the results, what is the chance that a random donor has type A blood..?Blood Type- O A B AB
Frequency- 31 33 9 2

Answers

Based on the results, the chance that a random donor has type A blood is; 11/25

How to find the Probability?

We are told that there was a survey of 75 blood donors.

Now, we want to find the chance that a random donor has type A blood. From the given table, we see that there are 33 type A blood donors. Thus;

P(donor has type A blood) = 33/75 = 11/25

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What I think the chance that a random donor has type a blood is 44% because there are 33 people in total of 75 that have type A blood type so you simply just divide 33/75 then get .44 which is 44%

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