Answer:
A(10, -9)
Step-by-step explanation:
The relation between coordinate of point A(Ax, Ay), point B(Bx, By), and midpoint T(Tx, Ty) of segment line AB is expressed by formula:
Ax + Bx = 2Tx
Ay + By = 2Ty
=>
Ax + (-2) = 2 x 4
Ay + 3 =2 x (-3)
=>
Ax - 2 = 8
Ay + 3 = -6
=>
Ax = 8 + 2
Ay = -6 - 3
=>
Ax = 10
Ay = -9
=> A(10, -9)
Hope this helps!
Step-by-step explanation:
Using the point C (-4,-2) and the refection rule:
Profit, or the surplus money after your costs are covered, is Revenue - Costs.
so in this case the profit P(x) = R(x) - C(x).
Answer:
There are an infinite number of values satisfying the requirements; every couple of numbers satisfying the following conditions are valid:
base = 60-w meters
width = w meters
0 < w <= 22
Step-by-step explanation:
Since the playground has a rectangular shape, let us us call b the base of the rectangle and w its width. In order for the rectangle to satisfy the condition of P = 120, we need for the following equation to satisfy:
2b + 2w = 120
Solving for b, we get that b = (120 - 2w)/2 = 60 - w .
Given a particular value (w) for the width, the base has to be: (60-w).
Therefore, the possible lengths of the playground are (60-w, w), where 60-w corresponds to the base of the rectangle and w to its width. And w can take any real value from 0 to 22.