9514 1404 393
Answer:
y = -2x -1
Step-by-step explanation:
The slope is given by ...
m = (y2 -y1)/(x2 -x1)
m = (-35 -63)/(17-(-32)) = -98/49 = -2
The y-intercept is ...
b = y -mx
b = 63 -(-2)(-32) = -1
The equation of the line is ...
y = -2x -1
if we take a peek at the graph, the y-coordinate at x = -4 is y = -3, and the y-coordinate at x = -1, is y = 3,
![\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} x_1=-4\\ x_2=-1 \end{cases}\implies \cfrac{f(-4)-f(-1)}{-4-(-1)}\implies \cfrac{-3~~-~~(3)}{-4-(-1)}\implies \cfrac{-6}{-4+1} \\\\\\ \cfrac{-6}{-3}\implies 2](https://tex.z-dn.net/?f=%5Cbf%20slope%20%3D%20m%20%3D%20%5Ccfrac%7Brise%7D%7Brun%7D%20%5Cimplies%20%5Ccfrac%7B%20f%28x_2%29%20-%20f%28x_1%29%7D%7B%20x_2%20-%20x_1%7D%5Cimpliedby%20%5Cbegin%7Barray%7D%7Bllll%7D%20average~rate%5C%5C%20of~change%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cbegin%7Bcases%7D%20x_1%3D-4%5C%5C%20x_2%3D-1%20%5Cend%7Bcases%7D%5Cimplies%20%5Ccfrac%7Bf%28-4%29-f%28-1%29%7D%7B-4-%28-1%29%7D%5Cimplies%20%5Ccfrac%7B-3~~-~~%283%29%7D%7B-4-%28-1%29%7D%5Cimplies%20%5Ccfrac%7B-6%7D%7B-4%2B1%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B-6%7D%7B-3%7D%5Cimplies%202)
Answer:
1 gallon
Step-by-step explanation:
milk she got from both cows
= 5/6+2/3
=1 1/2
milk left after some spilled
= 1 1/2- 1/2
= 1
The whole numbers which give the remainder x when divided by y can be found using the formula yz+x, where z is 0, 1, 2, ...
The whole numbers less than 65 which give the remainder 6 when divided by 9 are:
6, 15, 24, 33, 42, 51, 60
The whole numbers less than 65 which give the remainder 4 when divided by 8 are:
4, 12, 20, 28, 36, 44, 52, 60
The only number that satisfies both these conditions is 60.
The number is 60.
I guess its 4m wide an 6m tall????