|7 - x| >= 1
When solving for x inside an absolute value, you can set up two equations. One for the positive and one for the negative(since we’re dealing with absolutes.
We end up with:
7 - x >= 1
7 - x <= -1 (inequalities’ signs flip when multiplying or dividing by a negative.)
7 - x >= 1
7 - 1 >= x
X <= 6
7 - x <= -1
7 + 1 <= x
X>= 8
X: (-infinity, 6]U[8, infinity)
P=10
Explanation
2p+p+90+100+140=360
3p+330=360
-330. -330
3p=30
P=10
3 x 3 x 3 x 3 x 23 = 1,863. It can also be written in exponential form as 3 to the power of four times 23.
Answer:
Height of parallelogram = 5.07 inches
Step-by-step explanation:
We are given Area of Parallelogram = 32 in^2
Height of Parallelogram = ?
Base of Parallelogram = 6.3 in
The formula to find the Area of Parallelogram is:
Area of Parallelogram = Base * Height
32 = 6.3 * Height
=> Height = 32/6.3
=> Height = 5.07 inches
So, height of parallelogram = 5.07 inches
Answer:
3100ft
Step-by-step explanation:
There are 2 sides to the prism that have an area of 50ft * 10ft or 500ft. The total of those will be 500ft * 2 or 1000ft. There are 2 more sides to the prism that have an area of 30ft * 10ft or 300ft. The total would be 300ft * 2 or 600ft. Then the last two sides to the prism have an area of 50ft * 30ft or 1500ft. Since we're imagining this prism to be a house, you can't paint the floor (well, I guess you could but I think they want us to leave that part out because you can't pick the house up to paint the bottom that would be ridiculous). So the surface area is each area added, or 1000ft + 600ft + 1500ft = 3100ft.
