Answer:
3rd answer
Step-by-step explanation:
Answer:
(x - 6)^2 = 42
Step-by-step explanation:
Using " ^ " to indicate exponentiation, we have:
x^2 - 12x -6=0
Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.
Start by taking HALF of the coefficient of x, that is, HALF of -12. We get -6.
Next, square this result: (-6)^2 = 36.
Finally, add this 36 to both sides, obtaining:
x^2 - 12x + 36 - 6 = 36
Rewriting the first three terms, we get:
(x - 6)^2 - 6 = 36, or
(x - 6)^2 = 42 This is the end result to "completing the square."
If you want to go further and actually solve for x, then see below:
Taking the square root of both sides, we get
x - 6 = ±√42
Then x = 6 ± √42, or
x = 6 + √42 and
x = 6 - √42
Answer:
75%
Step-by-step explanation:
Total = 21 + 7
= 28 cupcakes
Vanilla cupcakes = 21 / 28 x 100
= 0.75 x 100
= 75%
Answer:
circumference = 10
= 31.42 units (nearest thousandth)
Step-by-step explanation:
diameter of a circle (d) = 2
circumference of a circle = 2
r =
d
Therefore, circumference = 10
= 31.42 units (nearest thousandth)
1) The width is the length on the bottom of the rectangle, and the height is the length on the side of the rectangle.
Count the unit squares to find the width and height.
The answer is
B) width = 5 and height = 6.
2) Side AB is the side on the bottom. Count the unit squares to find its length.
The answer is
8 units.
3) Use the distance formula to find the distance between points Y and M.
The distance formula =

Plug in the points for Y and M into the distance formula.

=

, which = 6.
The answer is
B) 6 units.