8 (y - 7) = - 16
Divide by 8 on both sides
y - 7 = - 2
Add 7 to both sides
y = 5
Answer:
Step-by-step explanation:
I can barely see enough to do 5 and 6. 7 the diagram is unclear and 9 I can't tell where the letters are. I suggest you darken the lines and make sure the letters for the unknowns are clear. Don't hold the paper: just as the picture was taken the image moved slightly. I don't know what to suggest.
Five
The ray defining a is pointing right at the five. That's my first assumption.
You need to find the interior angle connected to a.
Pentagon exterior angles
The total number of degrees for the exterior angles of a pentagon is 360
<em><u>Supplement of 140 degrees</u></em>
140 + x = 180 because the exterior and interior angles are supplementary
x = 180 - 140
x = 40
<em><u>Find a</u></em>
a + 40 + 60 + 84 + 68 = 360
a + 252 = 360
a = 360 - 252
a = 108
Six
This is really hard to read. Including b, there are three angles that are marked the same
Supplement to 68
180 - 68 = 112
Find b
112 + 43 + x + 89 + x +x = 360
244 + 3x = 360
3x = 116
x = 116/3
x = 38.67
Since b is marked as equal to 1 of the 3 exterior angles that are equal, b = 38.67
That is all I can read.
Answer:
10-6=4
if your friend took 6 apples out of the 10 you have you would have 4 left.
Step-by-step explanation:
Answer:
(6,3)
Step-by-step explanation:
y=2/3 x - 1
y=-1/2 x + 6
Since both equations are equal to y, we can set them equal
2/3 x - 1 =-1/2 x + 6
We have fractions, so I will multiply by 6 to clear the fractions
6(2/3 x - 1) =(-1/2 x + 6)6
Distribute
4x -6 = -3x +36
Add 3x to each side
4x+3x -6 = -3x+3x +36
7x -6 = 36
Add 6 to each side
7x-6+6 = 36+6
7x = 42
Divide each side by 7
7x/7 = 42/7
x =6
Now we need to find y
y =2/3x -1
y = 2/3(6) -1
y = 4-1
y=3
(6,3)
Answer:
x = 3/2 ± √(9/4 − 1/2 y)
Step-by-step explanation:
y = 6x − 2x²
First, factor out the leading coefficient:
y = -2 (x² − 3x)
Complete the square.
y = -2 (x² − 3x + 9/4 − 9/4)
y = -2 (x² − 3x + 9/4) + 9/2
y = -2 (x − 3/2)² + 9/2
Solve for x.
-1/2 y = (x − 3/2)² − 9/4
9/4 − 1/2 y = (x − 3/2)²
±√(9/4 − 1/2 y) = x − 3/2
x = 3/2 ± √(9/4 − 1/2 y)
