To complete the square you halve the coefficient of the x term and square it. Half of 14 is 7 and 7² is 49. So we add 49 and subtract 49, which means we are not changing the value of the quadratic. So we have x²+14x+49-49+2. This can be written: (x²+14x+49)-49+2, which is (x+7)²-47, which is answer a.
Answer:
18 boys
Step-by-step explanation:
boys/girls = 3/11 = b/66
3/11 = b/66
11b = 3 × 66
b = 3 × 6
b = 18
There are 18 boys.
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Let's solve your equation step-by-step.
x2+x=12
Step 1: Subtract 12 from both sides.
x2+x−12=12−12
x2+x−12=0
Step 2: Factor left side of equation.
(x−3)(x+4)=0
Step 3: Set factors equal to 0.
x−3=0 or x+4=0
x=3 or x=−4
Answer:
x=3 or x=−4
ANSWER: (-3,-7)
Set them equal to each other so, 2x-1=3x+2 to find x. You should get x= -3
Then you plug in -3 for x to find Y for either y=2x-1 or y=3x+2. I’m picking y=3x+2 so when you plug in -3 to x it will be y=3(-3)+2 = -7 . So therefore y=-7
