Answer:
Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4
Step-by-step explanation:
if Ruth is x, esmerelda is 5x,
four years ago,
Ruth is x+4, esmerelda is 5x+4, depend on the sum, we get:
x+4+5x+4=22, x=7/3
so:
Ruth is x+4=7/3+4, esmerelda is 5x+4=35/3+4
These are not the exact numbers but just plug in the numbers of yours Because we know that q is a perpendicular line to p we know that its slope is the negative reciprocal of the slope of p. So its slope is 7/10. Now we just need to find its y-intercept. To do that we write what we know about line q. So we know that the equation for line q looks like:
y = (7/10)x + b
We also know that q passes through the point (8,7), so we now plug that in and solve for b:
7 = (7/10)(8) + b
7 - (56/10) = b
(70/10) - (56/10) = b
14/10 = 7/5 = b
So now that we have solved for the y-intercept, we know that the equation for line q is:
y = (7/10)x + 7/5
