Answer:
- 7/30
Step-by-step explanation:
9/10 + g = 2/3
So subtract 9/10 from both sides of the equation to get g = -7/30
Thank me later :D
Answer: x° = 77°
Step-by-step explanation:
x + 103 = 180
x = 180 - 103
x = 77°
also by properties:
x° = 42° + 35° = 77°
Answer:
6
Step-by-step explanation:
- 6x +5 = 0
- 6x + 9 -9 +5 = 0
[ - 6x + 9] - 4 =0
-4 = 0
= 4
(x-3) = 
or (x-3) = -
(x-3) = 2 or (x-3) = -2
x = 5 or x = 1
therefore, sum of these solutions is 5+1 = 6
Answer:
(-2,4)
Step-by-step explanation:
The solution is the point at which the two lines intersect, (-2,4). That point is the only one that satisfies (works) in both equations:
y = x + 6
4 = -2 + 6
and
y = -0.5x + 3
4 = -0.5(-2) + 3
4 = 1 + 3
====
You can also solve it algebraically:
y = x + 6
y = -0.5x + 3
-0.5x + 3 = x + 6 [Use the value of y from the second equation in the first equation]
-1.5x = 3
x = -2
Use this is y = -2 + 6:
y = 4
(-2,4)
Answer:
c)
Step-by-step explanation:
(-4,2) ; (4,-5)
![Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-5-2}{4-[-4]}\\\\=\frac{-7}{4+4}\\\\=\frac{-7}{8}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5-2%7D%7B4-%5B-4%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-7%7D%7B4%2B4%7D%5C%5C%5C%5C%3D%5Cfrac%7B-7%7D%7B8%7D)
m = -7/8 ; (-4,2)
equation: y - y1 = m(x - x1)
![y-2=\frac{-7}{8}(x-[-4])\\\\y-2=\frac{-7}{8}(x+4)\\\\y-2=\frac{-7}{8}x +\frac{-7}{8}*4\\\\y=\frac{-7}{8}x-\frac{7}{2}+2\\\\y=\frac{-7}{8}x-\frac{7}{2}+\frac{4}{2}\\\\y=\frac{-7}{8}x-\frac{3}{2}\\](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7B-7%7D%7B8%7D%28x-%5B-4%5D%29%5C%5C%5C%5Cy-2%3D%5Cfrac%7B-7%7D%7B8%7D%28x%2B4%29%5C%5C%5C%5Cy-2%3D%5Cfrac%7B-7%7D%7B8%7Dx%20%2B%5Cfrac%7B-7%7D%7B8%7D%2A4%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B7%7D%7B2%7D%2B2%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B7%7D%7B2%7D%2B%5Cfrac%7B4%7D%7B2%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B3%7D%7B2%7D%5C%5C)
