1. combine like terms (2x and -7x) to create -5x
2. subtract 5 from each side to create: -5x=10
3. divide both sides by -5
4. x=-2
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:
length = 11 yard
width = 5 yard
Step-by-step explanation:
Area of a rectangle = L W
where A = 55 yard
L = 3W - 4
find: Length
width
solution:
A = L W
55 = (3W - 4) W
55 = 3W² - 4W
3W² - 4W - 55 = 0
use quadratic equation to solve for W:
W = <u> - (-4) ± √(-4)² - 4(3)-55 </u>
2(3)
W = 5, W = -11/3
substitute W=5 to equation L = 3W - 4 to solve for L
L = 3W - 4
L = 3(5) - 4
L = 15 - 4
L = 11
therefore, the dimensions of a rectangle:
length = 11 yard
width = 5 yard
Answer:
The answer I got was D 215605/1000
Answer:
x-intercept (4,0)
y-intercept (0,10)
Step-by-step explanation:
