The coordinate of point B is at (29, -15): Option C is correct.
The formula for calculating the midpoint of two points is expressed as:
Given the coordinate points
A is (5, 7).
B is (x, y).
M is (17, -4)
Substituting into the formula to get x and y
17 = 5+x/2
5+x = 34
x = 34 - 5
x = 29
Get the value of y. Similarly;
-4 = 7+y/2
-8 = 7+y
y = -8-7
y = -15
Hence the coordinate of point B is at (29, -15)
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The total change in the amount of water in the pool is 288 gallons.
<h3>What is Volume?</h3>
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
Here, Rate of water pumped into her pool = 6 gallons / minute.
Total Duration = 48 minutes
Total amount of water = Rate X Time
= 6 X 48
= 288 gallons
Thus, the total change in the amount of water in the pool is 288 gallons.
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Answer:
x = 1 ±√89
Step-by-step explanation:
We have the equation:
(x+7)(x-9) = 25
Using distributive property:
x(x-9) + 7(x-9) = 25
x²- 9x + 7x - 63 -25 = 0
x²- 2x - 88 = 0
To complete squares we need to add and subtract 1, as follows:
x²- 2x - 88 +1 -1 = 0
x²- 2x +1 -88 -1 = 0 (this is a perfect square)
(x - 1)² - 89 = 0
Solving for x:
(x - 1)² = 89
x - 1 = ±√89
x = 1 ±√89
Answer:
4/25
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
