Answer: 115, 2645
(x= 115, y= 2645)
Step-by-step explanation:
There are two methods to this, which is using the graph with each x and y value, or substituting in values.
I would suggest looking at the graph first and then substituting values so you know the equation is being satisfied by the ordered pair.
In this case, one way to check it could look like this (substituting y value):
y = 23x
2645 = 23x
x = 2645÷23
x = 115
The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.
The side length of this triangle is 2/√3 times the altitude, so the area is
... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)
... Area = 48√3 in² ≈ 83.1384 in²
The answer is 21 which comes from 7 * 3.
Draw the four points in a complex plane. From the drawing you can see that the lenght is 4i - (-3i) = 4i + 3i = 7i, and the width is 1 - (-2) = 1 + 2 = 3.
So, the area is 7 * 3 = 21.
Paula's dog is 36 lbs
Use the equation 48=3x+x
Add like terms: 48=4x
Divide: 12=x (x=Carla's dog's weight)
Then Multiply x by 3 to get Paula's dog's weight and you get 36 lbs
