Answer:
12x² - 6; 21 inches ⇒ A
Step-by-step explanation:
Let us solve the question
∵ The side lengths of a triangle are 4x² - 3 in., 4x² - 2 in., 4x² - 1 in.
∴ S1 = 4x² - 3 inches
∴ S2 = 4x² - 2 inches
∴ S3 = 4x² - 1 inches
→ The perimeter of the triangle is the sum of the lengths of its 3 sides
∵ P = S1 + S2 + S3
∴ P = 4x² - 3 + 4x² - 2 + 4x² - 1
→ Add the like terms
∵ P = (4x² + 4x² + 4x²) + (-3 + -2 + -1)
∴ P = 12x² + -6
→ Remember (+)(-) = (-)
∴ P = 12x² - 6
∴ The expression of the perimeter of the Δ is 12x² - 6
∵ x = 1.5
→ Substitute x in the perimeter expression by 1.5
∵ P = 12(1.5)² - 6
∴ P = 12(2.25) - 6
∴ P = 27 - 6
∴ P = 21 inches
∴ The perimeter of the triangle is 21 inches
The expression can be used to find the perimeter of the triangle is 12x² - 6 and its perimeter is 21 inches when x = 1.5
Answer:
17? I'm o m.j ly 9th grade and it's been a while.
Answer:
0.25 miles per minute, travels 5 miles in 20 minutes
Step-by-step explanation:
First, we have to find out how many miles he can travel in a minute.
We know that he travels 15 miles every hour, and we know that one hour is 60 minutes.
- 15 mi./ 1 hr = 15 mi. / 60 minutes
So, we can divide 15 miles by 60 minutes in order to get his pace for miles per minute
- 15 ÷ 60 = 0.25 miles per minute
Then we can just multiply 0.25 miles by 20 minutes
which gives us 5 miles in 20 minutes