So firstly, multiply both sides by 4 (the reciprocal of 1/4): ![x+2=\frac{20}{6}=3\frac{2}{6}](https://tex.z-dn.net/?f=%20x%2B2%3D%5Cfrac%7B20%7D%7B6%7D%3D3%5Cfrac%7B2%7D%7B6%7D%20)
Next, subtract both sides by 2 and your answer will be: ![x=1\frac{2}{6}](https://tex.z-dn.net/?f=%20x%3D1%5Cfrac%7B2%7D%7B6%7D%20)
for 2a, use the theorems of geometry and such to look at the area of the square as 16 squares total, then use the lengths and Sim/cos rule for the triangular area, then subtract and you have you shaded area.
Step-by-step explanation:
x=2 y=0
x= -2 y= -4
y=mx+b
b= 2
-4 = -2m +2
-2m= -6
m=3
y= 3x +2
.......
x=0 y=4
x=2 y= 2
y=mx+b
b=4
2=2m+4
2m= -2
m= -1
y = -x +4
He paid $643.5 for it originally
585 x .1 = 58.5
585+58.5= 643.5
hope this helps
Answer:
![[-9, -6]](https://tex.z-dn.net/?f=%5B-9%2C%20-6%5D)
Step-by-step explanation:
{−5x + 8y = −3
{3x - 5y = 3
⅗[−5x + 8y = −3]
{−3x + 4⅘y = −1⅘ >> New Equation
{3x - 5y = 3
______________
![\frac{-\frac{1}{5}y}{\frac{1}{5}} = \frac{2\frac{1}{5}}{\frac{1}{5}}](https://tex.z-dn.net/?f=%5Cfrac%7B-%5Cfrac%7B1%7D%7B5%7Dy%7D%7B%5Cfrac%7B1%7D%7B5%7D%7D%20%3D%20%5Cfrac%7B2%5Cfrac%7B1%7D%7B5%7D%7D%7B%5Cfrac%7B1%7D%7B5%7D%7D)
[Plug this back into both equations above to get the x-coordinate of −9]; ![-9 = x](https://tex.z-dn.net/?f=-9%20%3D%20x)
I am joyous to assist you anytime.