Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
Answer:
-3
Step-by-step explanation:
Please write this as f(x) = x^2 + 4x - 12. "x^2" represents "the square of x."
f(2) is the value of this function when x = 2:
f(2) = f(2) = (2)^2 + 4(2) - 12 = 9 - 12 = -3
Answer:
30.80
Step-by-step explanation:
$370/12ft^2
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Let ?=x
12/8= x/48
8x=576
x= 576/8
x= 72
Therefore the higher term fraction is 72/48
