Answer:
![m=-3](https://tex.z-dn.net/?f=m%3D-3)
Step-by-step explanation:
Given points:
![(5,3),(8,-6)](https://tex.z-dn.net/?f=%285%2C3%29%2C%288%2C-6%29)
1. Find the slope
The slope of a line between two points equals the change in the points' y-coordinates (rise) over the change in their x-coordinates (run).
The coordinates of point 1 are: ![x_1=5,y_1=3](https://tex.z-dn.net/?f=x_1%3D5%2Cy_1%3D3)
The coordinates of point 2 are: ![x_2=8,y_2=-6](https://tex.z-dn.net/?f=x_2%3D8%2Cy_2%3D-6)
To find the slope, plug the points' x and y-coordinates into the formula and combine to simplify:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\frac{-6-3}{8-5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-6-3%7D%7B8-5%7D)
![m=\frac{-9}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-9%7D%7B3%7D)
![m=-3](https://tex.z-dn.net/?f=m%3D-3)
Answer:
4 ^ 4 = 256 in exponential form
Step-by-step explanation:
simply translate the statement log of 256 base 4 = 4
Answer:
A
Step-by-step explanation:
The second event is dependent on the first.
We are given a right triangle whose legs we name as x, x+2 and x+4. The Pythagorean theorem states that the square of the hypotenuse's length is equal to sum of the squares of its legs. hence, we apply this to the given data:
a2 + b2 = c2
We substitute the given data
x2 + (x+2)2 = (x+4)2
We expound the given squares
x2 + x2+ 4x + 4 = x2 + 8x +16
We group next the like terms
2x2-x2 = 8x -4x + 16 -4
x2 = 4x + 12
(x2-4x-12) = 0
we factor the given quadratic equation
(x-6)*(x+2) = 0
x1 = 6
x2 = -2
The valid solution set would be 6 since there are no negative measurements, so the answer to this problem would be 6+2 = 8 units.
2 3/4 = 11/4
4 1/8 = 33/8
11/4 / 33/8 = 11/4 * 8/33 = 88/132 = 2/3
he mows 2/3 of an acres per hour