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
Answer:
31 , 59
Step-by-step explanation:
a = b +28
a + b = 90 {Complementary}
b + 28 + b = 90 {Combine like terms}
2b + 28 = 90 {Subtract 28 form both sides}
2b = 90 - 28
2b = 62 {Divide both sides by 2}
b = 62/2
b = 31
a = 31 + 28
a = 59
Answer:
<em>146</em>
Step-by-step explanation:
Supllementary angles add up to 180 degrees.
<em>180-34 = 146</em>
Answer:
y = 5x + 4
Step-by-step explanation:
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Rounded to the nearest tenth, the square root of 149 is 12.2.
