The answer is 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ
(a - b)² = a² - 2ab + b²
(3x²ᵃ - 4yᵃz³ᵃ)² = (3x²ᵃ)² - 2 * 3x²ᵃ * 4yᵃz³ᵃ + (4yᵃz³ᵃ)² =
= 3²x²ᵃ*² - 2 * 3 * 4 x²ᵃ * yᵃz³ᵃ + 4²yᵃ*²z³ᵃ*² =
= 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ
Answer:
Two solutions (-4,-7) and (4,7)
Step-by-step explanation:
x = y + 3
x*y = 28
(y+3)*y=28
y^2+3y-28=0
(y+7)(y-4)=0
y=-7, y=4
x=-4, x=7
First, find 1/2 of 3. That is 1.5 gallons. Since there are 4 quarts in a gallon, do 1.5*4 to get 6.
Answer:
- <em><u>The field in Lexie's drawing should be 20 cm long.</u></em>
Explanation:
Making a scale drawing requires that the figure be similar, which implies that the sides of the figures be proportional.
The proportion for a drawing 30 cm wide and unknown length with the soccer field that is 120 yards long and 80 yards wide is:
- length of the drawing / width of the drawing = length of the field / width of the field
Thus, using x for the unknown width of the drawing:
- 30 cm / x = 120 yard / 80 yard
Thus, you must solve for x:
- 30 cm × 80 yard = 120 yard × x
- x = 30 cm × 80 yard / 120 yard = 20 cm.
Hence, the field in Lexie's drawing should be 20 cm long.
