Answer:
x = 4/15 and x= 10/3
Step-by-step explanation:
|9x-7|=|6x+3|
There are two solutions, one positive and one negative.
(9x-7)=6x+3 - (9x-7)=6x+3
We will take the positive one first
(9x-7)=6x+3
Subtract 6x from each side
(9x-6x-7)=6x-6x+3
3x -7=3
Add 7 to each side
3x-7+7 = 3+7
3x = 10
Divide by 3x/3 = 10/3
x = 10/3
Now we will take the negative solution
- (9x-7)=6x+3
Distribute the negative sign
-9x+7 = 6x+3
Add 9x to each side
-9x+9x+7 = 6x+9x+3
7 = 15x+3
Subtract 3 from each side
7-3 = 15x +3-3
4 = 15x
Divide by 15 on each side
4/15 =15x/15
4/15 =x
1/2bh
1/2b4 = 18
b4= 36
b= 9 yards
Answer:
∠1≅∠2
Step-by-step explanation:
Because 2 is 1 number more, they are approximitly the same:)
Answer:
3. 1/9 feet^3
Step-by-step explanation:
First, find the volume of one cube.
The volume of a cube can be found using the following formula:
V=s^3
We know that s, the side length is 1/3 feet. Therefore, we can substitute 1/3 ft in for s.
V= (1/3 ft)^3
Evaluate the exponent.
1/3 ft^3
=1/3 ft * 1/3 ft* 1/3 ft
=1/9 ft^2*1/3 ft
= 1/27 ft^3
V= 1/27 ft^3
Now find the volume of 3 cubes. We know the volume of one cube is 1/27 ft^3, therefore we can multiply 1/27 ft^3 by 3.
1/27 ft^3 * 3
Multiply 1/27 and 3.
1/27 * 3/1
=(1*3)/(27*1)
=3/27
=1/9
V= 1/9 ft^3
The volume of 3 cubes is 1/9 cubic feet, and choice 3 is correct.
