Answer:
Step-by-step explanation:
EC = 12÷2 = 6
ED = √(CD² - EC²) = √(16² - 6²) = √220 = 2√55 ≅ 14.8 units
9514 1404 393
Answer:
(4x +5)
Step-by-step explanation:
The square of a binomial is ...
(a +b)² = a² +2ab +b²
We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:
√(16x²) = 4x
√25 = 5
So, our first choice of side length for the square is ...
s = (4x +5) . . . . . side length of the square
__
Using the above identity, we can verify that the square of this gives the right area:
A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²
A = 16x² +40x +25 . . . . . . as required
Answer:
B, 6
Step-by-step explanation:
In the equation (x - c)² + (y - d)² = r², (c, d) is the center and r is the radius. In this case, c = -2, d = 7 and r = 6 so the center is (-2, 7) and the radius is 6.
Answer:
-x+y
Step-by-step explanation:
-1*(x-y)=-x+y
1)
x^2 + 4 = 0 Subtract 4 from each side
x^2 = -4
You cannot square a number to get a negative number. No real solution. (If you have learned about imaginary numbers, answer is 2i)
2)
<span>x^2+x-6=0 Factor. 3 and -2 add up to 1, and multiply to -6
(x+3)(x-2) = 0
Zero Product Property: Which numbers would put a zero in one of the parentheses?
x = -3 or x=2
3) </span><span>x^2-6x+7=0
Completing the Square:
Take half of b (-6), square it, and add/subtract that coefficient
x^2 - 6x + 9 - 9 + 7 = 0
(x -3)^2 - 2 = 0 Add 2 to both sides
(x-3)^2</span> = 2 Take the square root of both sides
<span>(x-3) = </span>√2 or -√2 Add 3 to both sides
<span>x = 3 + </span>√2 or 3 - √2<span>
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