Answer:
in steps
Step-by-step explanation:
base width: 1/2 x 5 = 2.5
base length: 1/2 x 4 = 2
height: 1/2 x 3 = 1.5
Volume: lwh = 2.5 x 2 x 1.5 = 7.5 in³
You have to combine like terms (terms that have the same variable(x,y....) and power/exponent)²³
(4x³ - 4 + 7x) - (2x³ - x - 8) Distribute -1 into (2x³ - x - 8)
(4x³ - 4 + 7x) + (-)2x³ - (-)x - (-)8 (two negative signs cancel each other out and become positive)
(4x³ - 4 + 7x) - 2x³ + x + 8 Now combine like terms
4x³ - 2x³ + 7x + x - 4 + 8 (I rearranged for the like terms to be next to each other)
2x³ + 8x + 4 It is equivalent to B
Combine like terms
(I rearranged for the like terms to be next to each other)
It is equivalent to D
(x² - 2x)(2x + 3) Distribute x² into (2x + 3) and distribute -2x into (2x + 3)
(x²)2x + (x²)3 + (-2x)2x + (-2x)3
When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together
2x³ + 3x² - 4x² - 6x Combine like terms
2x³ - x² - 6x It is equivalent to A
[Info]
When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (You can combine the exponents only if they have the same variable)
For example:
(You can't combine them because they have different exponents of y and x)
Perimeter = 2L + 2w
in this case, L = 3w - 2 and perimeter = 28.
so, 28 = 2L + 2w. or 14 = L + w. or substitute for L: (3w - 2) +w =14
or 4w - 2 = 14. 4w = 12. 12/4 = 3 = w.
The width = 3 inches; and the length = (3x3 -2) 7 inches.
Answer:
H: 119 degrees.
G: 61 degrees.
M: 54 degrees.
K: 126 degrees.
Step-by-step explanation: