Answer: The measure of AC is 32.
Explanation:
It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.
The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.
Since F and D are midpoints of AE and EC respectively.
So by midpoint theorem length of AC is twice of DF.



Therefore, the length of AC is 32.
Answer:
The average rate of change in that space would be 12.
Step-by-step explanation:
To find this, use the two ordered pairs (-1, 3) and (1, 27) in the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (27 - 3)/(1 - -1)
m = 24/2
m = 12
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Answer:
f(x) = x³ -6x² -16x. (Simplified)
Step-by-step explanation:
Given:
Zeros: -2, 0, 8; degree: 3
To begin, write the polynomial in factored form involving the zeros:
f(x) = x(x + 2)(x - 8).
If you were to convert this to standard form, you would FOIL the factors:
f(x) = x(x + 2)(x - 8)
f(x) = x(x² -6x -16)
f(x) = x³ -6x² -16x. This is your equation in standard form.
Answer:
Algebra
Step-by-step explanation:
The answer is (2, 14) because if you substitute the x and y values, it would have to be 2 + 7 = 14.