================================================
Explanation
The point (p,r) is on the line y = x+b
Plug in x = p and y = r to get r = p+b. Let's solve for b
r = p+b
b = r-p
This will be used later.
The point (2p,5r) is on the line y = 2x+b
Plug in those coordinates:
y = 2x+b
5r = 2*(2p)+b
5r = 4p+b
Next we replace b with r-p. This is valid because b = r-p.
5r = 4p+b
5r = 4p+r-p
5r = 3p+r
5r-r = 3p
4r = 3p
Then we follow the cross multiplication process in reverse.
4r = 3p
4r/4 = 3p/r
r = 3p/4
r/p = (3p/4)*(1/p)
r/p = 3/4 is the final answer
Final answer:
Using the given coordinates and equations, we find that the value of r/p is 3/4 after a process of subtracting and simplifying two equations.
Explanation:
The question is related to the linear equations in the xy-plane. Given two points, (p,r) and (2p,5r) which lie respectively on the equations y = x + b and y = 2x + b.
We have two points on two different lines:
Substituting the coordinates of the first point into the first equation gives r = p + b. Similarly, substituting the coordinates of the second point into the second equation gives 5r = 2(2p) + b, which simplifies to 5r = 4p + b.
Now, subtract the first equation from the second to eliminate b, resulting in 5r - r = 4p - p, which simplifies to 4r = 3p.
Dividing by 4p gives us r/p = 3/4. So, the value of r/p is 3/4.
Learn more about equations
#SPJ11
Answer: 25
Step-by-step explanation: divide 50 by 2
f(x) = −x2 + 4x + 12
g(x) = x + 8
Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).
x = 3
x = 4
x = 5
x = 6
D
4 cm
4 cm
square centimeters
Submit
??
Answer:
882
Step-by-step explanation:
840 : 100 x 105 = 882
Answer:
49 men will be required to weave 189 baskets in 3 days.
Answer:
49 men required
Step-by-step explanation: