Answer:
x= -4/5
Step-by-step explanation:
first distribute on both sides
8x -8 = -2x -16
isolate x on one side
10x = -8
x = -8/10
you can simplify that fraction to get
x= -4/5
Answer:
Step-by-step explanation:
(-13-12)/(-2-3)= -25/-5= 5
y - 12 = 5(x - 3)
y - 12 = 5x - 15
y = 5x - 3
Let y = 3^x , then 9^x = (3^2)^x = (3^x)^2 = y^2, so we can write the equation as
y^2 - 10y + 9 = 0
(y - 9)(y - 1) = 0
giving y = 9 or y = 1
Therefore 3^x = 9 giving x = 2
and 3^x = 1 giving x = 0
so the solution set is {0, 2}
Note - I have assumed that the 'x' after the 10 means 'multiply'. Is that correct?
The easiest way to do this is to split each figure into smaller shapes.
1. a rectangle and a triangle
2. 3 separate rectangles
3. triangle and rectangle
... so on
You then find the areas of the smaller shapes and then add them together.
1. (for rectangle) 6*3 = 18
(for triangle) (12*15)/2 = 90 90 + 18 = 108
2. 4*8 = 32
8*4 = 32
12*12 = 144 32 + 32 + 144 = 208
...so on
