Robin had 5/8 of a pound of butter when she was done baking. 1/4 = 2/8, and 7/8 - 2/8 = 5/8.
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
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Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer:
f(x) = x⁴ - 8x³ + 25x² - 72x + 144
Step-by-step explanation:
f(x) = (x-4)²(x+3i)(x-3i)
= (x²-8x+16)(x²+9)
= x⁴ - 8x³ + 25x² - 72x + 144
7/8 is the answer you're looking for
