The graph shows two lines, A and B.
1 answer:
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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: - 49
Step-by-step explanation:
f(x) = -2x - 1
g(x) = - 1
fg(x) = f ( - 1) , we just put in the value of g(x) , the next thing is to substitute
- 1 for the value of x in f(x) , that is
fg(x) = -2( - 1) - 1
fg(x) = -2 + 2 - 1
fg(x) = -2 + 1
Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is
fg(-5) = -2 ( + 1
fg(-5) = -2(25) + 1
fg(-5) = -50 + 1
fg(-5) = -49
Answer:
Step-by-step explanation:
(f*g)(x) = (-5x² + 2x + 7) (x +1)
= x* (-5x² + 2x + 7) + 1*(-5x² + 2x + 7)
= x*(-5x²) + x*2x + x*7 - 5x² + 2x + 7
= -5x³ + 2x² + 7x - 5x² + 2x + 7
= - 5x³ + <u>2x² -5x²</u> <u>+ 7x + 2x </u>+7 {Combine like terms}
= -5x³ - 3x² + 9x + 7
4) (f*g)(x) = (x² + 2x + 4)(x - 2)
= x*(x² + 2x + 4) - 2*(x² + 2x + 4)
= x*x² + x*2x + x*4 - 2*x² - 2*2x -2* 4
= x³ + 2x² + 4x -2x² -4x - 8
= x³ - 8