Answer:
A.y=|x|+7
Step-by-step explanation:
Answer:
he will need 10.5 gallons of oil to fry all of the potatoes.
Step-by-step explanation:
He will be frying 63 potatoes. 18*(3.5)
Divide 63 by 6 because he will need a gallon for every 6 potatoes.
10.5 will be the number of gallons Hector will need.
Answer:
12) Line segment AB
![m_{AB} = \frac{7-4}{10-4}= \frac{1}{2}](https://tex.z-dn.net/?f=m_%7BAB%7D%20%3D%20%5Cfrac%7B7-4%7D%7B10-4%7D%3D%20%5Cfrac%7B1%7D%7B2%7D)
13) Line segment CD
![m_{CD} = \frac{6-11}{15-13}=-\frac{5}{2}](https://tex.z-dn.net/?f=m_%7BCD%7D%20%3D%20%5Cfrac%7B6-11%7D%7B15-13%7D%3D-%5Cfrac%7B5%7D%7B2%7D)
14) Line segment EF
![m_{EF} = \frac{7-11}{4-3}= -4](https://tex.z-dn.net/?f=m_%7BEF%7D%20%3D%20%5Cfrac%7B7-11%7D%7B4-3%7D%3D%20-4)
15) Line segment GH
![m_{GH} = \frac{5-2}{8-6}= \frac{3}{2}](https://tex.z-dn.net/?f=m_%7BGH%7D%20%3D%20%5Cfrac%7B5-2%7D%7B8-6%7D%3D%20%5Cfrac%7B3%7D%7B2%7D)
16) Line segment IJ
![m_{IJ} = \frac{0-(-6)}{0-4}=-\frac{3}{2}](https://tex.z-dn.net/?f=m_%7BIJ%7D%20%3D%20%5Cfrac%7B0-%28-6%29%7D%7B0-4%7D%3D-%5Cfrac%7B3%7D%7B2%7D)
17) Line segment KL
![m_{KL} = \frac{-2-(-3)}{5-(-2)} = \frac{1}{7}](https://tex.z-dn.net/?f=m_%7BKL%7D%20%3D%20%5Cfrac%7B-2-%28-3%29%7D%7B5-%28-2%29%7D%20%3D%20%5Cfrac%7B1%7D%7B7%7D)
18) Line segment MN
![m_{MN} = \frac{5-5}{3-(-4)} = 0](https://tex.z-dn.net/?f=m_%7BMN%7D%20%3D%20%5Cfrac%7B5-5%7D%7B3-%28-4%29%7D%20%3D%200)
19) Line segment OP
![m_{OP} = \frac{4-(-2)}{13-13} = \frac{1}{0}](https://tex.z-dn.net/?f=m_%7BOP%7D%20%3D%20%5Cfrac%7B4-%28-2%29%7D%7B13-13%7D%20%3D%20%5Cfrac%7B1%7D%7B0%7D)
20) Line segment QR
![m_{QR} = \frac{7-11}{-2-(-7)} = -\frac{4}{5}](https://tex.z-dn.net/?f=m_%7BQR%7D%20%3D%20%5Cfrac%7B7-11%7D%7B-2-%28-7%29%7D%20%3D%20-%5Cfrac%7B4%7D%7B5%7D)
21) Line segment ST
![m_{ST} = \frac{-2-(-3)}{10-9} = 1](https://tex.z-dn.net/?f=m_%7BST%7D%20%3D%20%5Cfrac%7B-2-%28-3%29%7D%7B10-9%7D%20%3D%201)
Step-by-step explanation:
Coordinates are now described:
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
, ![P(x,y) = (13,4)](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%2813%2C4%29)
The slope of each line segment is calculated by applying definition of secant line:
12) Line segment AB
![m_{AB} = \frac{7-4}{10-4}= \frac{1}{2}](https://tex.z-dn.net/?f=m_%7BAB%7D%20%3D%20%5Cfrac%7B7-4%7D%7B10-4%7D%3D%20%5Cfrac%7B1%7D%7B2%7D)
13) Line segment CD
![m_{CD} = \frac{6-11}{15-13}=-\frac{5}{2}](https://tex.z-dn.net/?f=m_%7BCD%7D%20%3D%20%5Cfrac%7B6-11%7D%7B15-13%7D%3D-%5Cfrac%7B5%7D%7B2%7D)
14) Line segment EF
![m_{EF} = \frac{7-11}{4-3}= -4](https://tex.z-dn.net/?f=m_%7BEF%7D%20%3D%20%5Cfrac%7B7-11%7D%7B4-3%7D%3D%20-4)
15) Line segment GH
![m_{GH} = \frac{5-2}{8-6}= \frac{3}{2}](https://tex.z-dn.net/?f=m_%7BGH%7D%20%3D%20%5Cfrac%7B5-2%7D%7B8-6%7D%3D%20%5Cfrac%7B3%7D%7B2%7D)
16) Line segment IJ
![m_{IJ} = \frac{0-(-6)}{0-4}=-\frac{3}{2}](https://tex.z-dn.net/?f=m_%7BIJ%7D%20%3D%20%5Cfrac%7B0-%28-6%29%7D%7B0-4%7D%3D-%5Cfrac%7B3%7D%7B2%7D)
17) Line segment KL
![m_{KL} = \frac{-2-(-3)}{5-(-2)} = \frac{1}{7}](https://tex.z-dn.net/?f=m_%7BKL%7D%20%3D%20%5Cfrac%7B-2-%28-3%29%7D%7B5-%28-2%29%7D%20%3D%20%5Cfrac%7B1%7D%7B7%7D)
18) Line segment MN
![m_{MN} = \frac{5-5}{3-(-4)} = 0](https://tex.z-dn.net/?f=m_%7BMN%7D%20%3D%20%5Cfrac%7B5-5%7D%7B3-%28-4%29%7D%20%3D%200)
19) Line segment OP
![m_{OP} = \frac{4-(-2)}{13-13} = \frac{1}{0}](https://tex.z-dn.net/?f=m_%7BOP%7D%20%3D%20%5Cfrac%7B4-%28-2%29%7D%7B13-13%7D%20%3D%20%5Cfrac%7B1%7D%7B0%7D)
20) Line segment QR
![m_{QR} = \frac{7-11}{-2-(-7)} = -\frac{4}{5}](https://tex.z-dn.net/?f=m_%7BQR%7D%20%3D%20%5Cfrac%7B7-11%7D%7B-2-%28-7%29%7D%20%3D%20-%5Cfrac%7B4%7D%7B5%7D)
21) Line segment ST
![m_{ST} = \frac{-2-(-3)}{10-9} = 1](https://tex.z-dn.net/?f=m_%7BST%7D%20%3D%20%5Cfrac%7B-2-%28-3%29%7D%7B10-9%7D%20%3D%201)
<span>vertical angles
m<A = m<B
so
</span>4x - 10 = <span>6x - 30
6x - 4x = -10 + 30
2x = 20
x = 10
m<A = </span><span>4x - 10
</span>m<A = 4(10) - 10
m<A = 40 - 10
m<A = 30<span>
</span>