Answer:
Step-by-step explanation:
Note how this drawing is symmetrical about a horizontal line drawn halfway between AB and CD and passing through the origin.
Line AB has been subdivided into two equal pieces of length 15, so the length of AB is twice 15, or 30. Due to the symmetry shown, line CD has the same length: 30.
Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
the local maximum is at x = -2.2 and has a value of 72.576
Answer:
p=60
Step-by-step explanation:
10(6)=60
p=60
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No. Solve each of the problems and see if they match. Do PEMDAS order of operations