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
One 16 oz can of veggie soup cost $ 1.78......1.78/16 = 0.11 per oz
1 pint = 16 oz......so 2 pints = (2 * 16) = 32 oz
so 32 oz ( or 2 pints) of veggie soup cost $ 3.17.....3.17/32 = 0.10 per oz
so the better deal (the cheapest one) is the 2 pints for $ 3.17
Answer: x=26
Step-by-step explanation:
1. Write the equation 2x-5+4x-1+30=180 because all triangle angles add up to 180°
2. Simplify the equation by combining like terms. Write the equation as 6x+24=180
3. Subtract 24 from both sides. Write the equation as 6x=156.
4. Divide 156/6 and get 26. That is your answer (x=26).
Hi there!
We can begin by making each fraction have a common denominator:
If we make each have a common denominator of ab, we get:
Simplify:
Multiply both sides by ab:
Move b to the opposite side:
Factor out b:
Divide by (ac - 1):
