In the xy-plane, the point (p, r) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation y=2x+b. If p≠0, what is the value of r/p?

A) 2/5

B) 3/4

C) 4/3

D) 5/2

B

Explanation:

If the point (p, r) lies on y = x + b, then if we plug in p for x and r for y, the equation will hold true. So let's try that:

r = p + b

Now, since the point (2p, 5r) lies on the line y = 2x + b, we can plug 2p in for x and 5r in for y:

5r = 2 * 2p + b

5r = 4p + b

Let's substitute p + b in for r:

5r = 4p + b

5 * (p + b) = 4p + b

5p + 5b = 4p + b

p = -4b

We now have p in terms of b. Let's do the same for r, so plug -4b in for p in

r = p + b:

r = p + b

r = -4b + b

r = -3b

We want to find the value of r/p, so let's right this in terms of b:

r/p

-3b/-4b

The b's and negative signs will cancel out, so we're left with 3/4.

The answer is B.

Hope this helps!

answer: the revolutionary war, also known as the american war of independence, was a war from 1775 to 1783 between great britain and its thirteen colonies, which declared independence as the united states of america in 1776. people who wanted the colonies to gain independence and form their own country called the united states were referred to as patriots. they didn't feel that the treatment colonists received was fair, and one of the main issues was that they were being taxed without any representation in the british parliament. as dissatisfaction grew, they wanted to be a part of an independent country, which britain would have no ruler.

explanation: