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:
sqrt(98) aka 
Step-by-step explanation:
To find the third side we need to use the Pythagorean theorem (a^2 + b^2 = c^2) so let 3 = a and b = sqrt(89) so a^2 = 9 and for b^2 just ignore the square root so b^2 = 89 then we add 9 and 89 89 + 9 = 98 so c^2 = 98 then we do the square root of 98 since the square root of 98 isn't a whole number/ has a decimal we just leave it written as sqrt(98)
Change the numbers into improper fractions then subtract
Answer:
blue = 35
green = 29
red = 38
Step-by-step explanation:
Let r = red
Let g = green
let b = blue
r + g + b = 102
r = b + 3
b = g + 6 Subtract 6 from both sides of the equation
b - 6 = g
===================
substitute for red and green
(b + 3) + b + b - 6 = 102
b + 3 + b + b - 6 = 102
Combine like terms
3b - 3 = 102
Add 3 to both sides
3b - 3 + 3 = 102 + 3
3b = 105
Divide by 3
3b/3 = 105/3
b = 35
======================
r = b + 3
r = 35 + 3
r = 38
=======================
g = b - 6
g = 35 - 6
g = 29
========================
Answer:
9
Step-by-step explanation:
UT^2 = UV * UW
6^2 = (x - 7)(x - 7 + 5)
36 = (x - 7)(x - 2)
36 = x^2 - 2x - 7x + 14
x^2 - 9x - 22 = 0
(x - 11)(x + 2) = 0
x - 11 = 0 or x + 2 = 0
x = 11
UW = x - 7 + 5
UW = 11 - 7 + 5
UW = 9
