PARKING Stephanie is drawing the layout of a parking lot on a coordinate grid and needs to verify that two sides meet in a right angle. In her sketch, one side of the parking lot has endpoints A(0,0) and B(50,0). The

second side of the parking lot has endpoints B(50,0) and C(18, 24). How can Stephanie prove that the two

sides of the parking lot meet in a right angle? Select all that apply.

® Find the slopes of AC and CB. If the product of the slopes is -1, then the sides meet in a right angle.

B Find the slopes of AB and AC. If the product of the slopes is -1, then the sides meet in a right angle.

© Find the slopes of CB and AB. If the slope of AB is the opposite of the slope of AC, then the sides meet in

a right angle.

Find AB, BC, and AC. If AB + BC = AC, then the sides meet in a right angle.

Find AB, BC, and AC. IfAB2+ BC = AC?, then the sides meet in a right angle.

The answer is: Find the slopes of AB and AC. If the product of the slopes is -1, then the sides meet in a right angle.

Step-by-step explanation:

From Analytical Geometry, two lines are perpendicular to each other if and only if , where and are the slopes of each line, respectively. According to this, the following expression must be observed:

(1)

Each slope can be determine by definition of the slope of a Secant Line:

(2)

(3)

Where:

, , - x-Coordinates of points A, B and C.

, , - y-Coordinates of points A, B and C.

If we know that , , , , and , then the relationship between slopes is:

Which means that both line segments are not perpendicular to each other.

In a nutshell, we need to find the slopes of AB and CB, if the product between both slopes is -1. Then, the sides meet in a right angle.

answer: c

because if you look at the chart you can see a pattern and compare it to the question he simplify out your

but i think the formula is f(x)=6x

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.