Answer:
Step-by-step explanation:
AB = 5
AC = 6
BC = √(5² + 6²) = √61 ≈ 7.8 units
Answer:
Step-by-step explanation:
First, you must find the slope of the line using the formula (y2-y1/x2-x1). For your problem that would be (8-0/-2-4)= -4/3.
Then, you would plug in the slope and the y-intercept into the slope-intercept formula (y=mx+b), where m is the slope and b is the y intercept (4).
Your answer would be y=-4/3x+4
Let the average cost of car in 2009 be $x, then the average cost of a car in 2013 is 2x - 5
25,000 = 2x - 5
2x = 25,000 + 5 = 25,005
x = 25,005/2 = $12,502.50
Answer:
8.8%
Step-by-step explanation:
you have ( $150 / $1695 ) * 100 = 8.8
3. Answer: y = 4
<u>Step-by-step explanation:</u>
Need to find the slope (m):
![\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\dfrac{4 - 4}{-3-1}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%20-%204%7D%7B-3-1%7D)
= ![\dfrac{0}{-4}](https://tex.z-dn.net/?f=%5Cdfrac%7B0%7D%7B-4%7D)
= 0
Now input ONE of the points (1, 4) and the slope (m = 0) into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - 4 = 0(x - 1)
y - 4 = 0
y = 4
********************************************************************
4. Answer: ![\bold{y = \dfrac{2}{3}x + 3}](https://tex.z-dn.net/?f=%5Cbold%7By%20%3D%20%5Cdfrac%7B2%7D%7B3%7Dx%20%2B%203%7D)
<u>Step-by-step explanation:</u>
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
![y - 1 = \dfrac{2}{3}(x - (-3))](https://tex.z-dn.net/?f=y%20-%201%20%3D%20%5Cdfrac%7B2%7D%7B3%7D%28x%20-%20%28-3%29%29)
![y - 1 = \dfrac{2}{3}(x + 3)](https://tex.z-dn.net/?f=y%20-%201%20%3D%20%5Cdfrac%7B2%7D%7B3%7D%28x%20%2B%203%29)
![y - 1 = \dfrac{2}{3}x + 2](https://tex.z-dn.net/?f=y%20-%201%20%3D%20%5Cdfrac%7B2%7D%7B3%7Dx%20%2B%202)
![y = \dfrac{2}{3}x + 3](https://tex.z-dn.net/?f=y%20%3D%20%5Cdfrac%7B2%7D%7B3%7Dx%20%2B%203)