The distance formula is the square root of (x1-x2)^2+ (y1-y2)^2
So it would be square root [ (-2-3)^2 + (6-(-2))^2]
So it would be square root(25+64)
Square root(89)= 9.433
The area of the triangle is
= 3.4641 square feet.
Step-by-step explanation:
Step 1:
According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.
In the given triangle, the hypotenuse is the side that is represented by c. The other sides on the triangle are represented by the values a and b.
Step 2:
Assume the other side of the triangle measures x units.
So according to the Pythagorean theorem,


So the other side of the triangle, b measures 2 feet.
Step 3:
The area of a triangle is half the product of its base length and height.
The base length of this triangle is
feet and the height is 2 feet.
The area of the triangle
The area of the triangle is
= 3.4641 square feet.
on the number line the numbers to the left have least value
The average rate of change has a relationship with slopes. In this way, we can write the slope of a line as follows:

As you can see in the graph, we have a straight line whose slope is negative. This slope as we have said is the Average Rate of Change we need to find. So, to find the slope of this line we must choose two points and compute the following formula:

The two points can be:

So:

Finally, the conclusion is:
<em>The amount of water remaining in the pool is</em><em> decreasing</em><em> at </em><em>a rate of 4 gallons per minute</em>