Answer:
C. (x-2)^2=7
Step-by-step explanation:
What you have to do first is to get rid of the 3 in the x^2 so you will divide 3 by the whole thing to get x^2-4x=3.
You will then divide -4 by 2 and then square the answer to get 4.
You will then add the 4 into the end of the equation and to the 3 to get x^2-4x+4=7.
You will then make into a perfect square (x-2)^2=7 and that is your answer.
Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12
Answer:
c. a: 4
b: 12
c: 9
4x² +12x+9=0
(2x+3)(2x+3)= 0
(2x+3)²=0 {square root both sides}
2x+3=0
2x=-3
x= -3/2
Answer:
A. (2x + 5)(2x - 5)
Step-by-step explanation:
Factor out the polynomial given.
(4x² - 25) = (2x - 5)(2x + 5)
Check: Use the FOIL method.
(2x)(2x) = 4x²
(2x)(5) = 10x
(2x)(-5) = -10x
(-5)(5) = -25
Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25
A. (2x + 5)(2x - 5) is your answer
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Answer:
well if this is by 300meters in one minutes then it would be 2400 meters