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

Answer 1
Answer:

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.

Learn more about the equation of line here:

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Answer 2
Answer: I hope this helps you

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Explain It Adam made 19 paper cranes Monday and 8 more Tuesday. He gave 9 friends an equal number of cranes. How many cranes did each friend received? Explain how you found your answer.

Answers

Answer: Each friend received 3 paper cranes.

Step-by-step explanation:

Given : Number of paper cranes made by Adam on Monday = 19

Number of paper cranes made by Adam on Tuesday = 8

Total number of paper cranes made by Adam = (Number of paper cranes made on Monday) + (Number of paper cranes made on Tuesday )

= 19+8

= 27

Now , all paper cranes are equally divided into 9 friends , the number of paper cranes received by each friend = (Total number of paper cranes ) ÷ (9)

= (27)÷ (9)

= 3

Hence, each friend received 3 paper cranes.

he made  19 paper cranes on Monday & 8 more on tuesday
total cranes made =    19 + 8  = 27
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What is the positive solution of x2 – 36 = 5x?

Answers

The equation x^2 - 36 = 5x is a quadratic equation and can be solved thus: x^2 - 36 = 5x x^2 - 5x - 36 = 0 x^2 + 4x - 9x - 36 = 0 x(x + 4) - 9(x + 4) = 0 (x - 9)(x + 4) = 0 x - 9 = 0 or x + 4 = 0 x = 9 or x = -4 Therefore, the positive solution of x^2 - 36 = 5x? is 9.

short answer is 9 for anyone who wants it.

Yes the full answer is -4, 9 but the question asks for the POSITIVE SOLUTION so the answer is just 9

A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and eachsuccessive bounce is 69% of the previous bounce's height. Write a recursive formula
to represent the height of the nth bounce of the ball.

Answers

The value 2.75 goes in the first box, since it's the first term.

The expression 0.69*a_(n-1) goes in the second box. The second line says "to get the nth term, we multiply the previous term by 0.69"

The length of a rectangle is 2x – 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet?A. 7x – 15
B. 10x – 15
C. 10x – 8
D. 7x – 8

Answers

The area of a rectangle is the product of its length and its width. It is expressed as:

Area = l x w

We use this equation, to solve this problem.

Area = l x w
Area = (2x – 3) x 5
Area = 10x - 15

Therefore, the correct answer is option B.
5(2x - 3)

5 * 2x = 10x
5 * -3 = - 15

10x - 15


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Answers

8.5% is the same as 0.085.
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A slide is 21 feet long. To get to the top of the slide, you use a vertical 9-foot high rung ladder. What is the distance, b, from the bottom of the slide to the bottom of the stairs? Round your answer to the nearest tenth.

Answers

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Now we fill in the values. (21)2-(9)2=A2
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