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)

Question

dem82 [27]

2 years ago

8

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

Mathematics

2 answers:

pentagon [3] · Answer 1 · 2022-08-12T03:45:47+03:00

pentagon [3]2 years ago

5 0

Answer:

hi

Step-by-step explanation:

I'm anmol kulkar from India thanks for free points by

musickatia [10] · Answer 2 · 2022-08-12T05:46:59+03:00

Answer:

The correct answer is B,

3/4.

Step-by-step explanation:

choices A and D, you may have incorrectly formed your answer out of the coefficients in the point (2p,5r). If you picked Choice C, you may have confused r and p.

y=2x+b gives:

5r=2(2p)+b

5r=4p+b

b = 5r−4p.

Next, we can set the two equations equal to b equal to each other and simplify:

b=r−p=5r−4p

3p=4r

Finally, to find

r/p

divide both sides of the equation by p and by 4:

3p=4r

3=4r/p

3/4=r/p