Answer:
4^2 + (-7)^2
Step-by-step explanation:
The square of the distance is given by the distance formula as ...
d^2 = (x2 -x1)^2 + (y2 -y1)^2 = (3 -(-1))^2 + (-5-2)^2
= 4^2 +(-7)^2 . . . . . matches the second choice (sort of)
_____
<em>Comment on notation</em>
Clearly, you understand the use of the caret (^) to signify exponentiation. The number 42 is very different from the value of 4^2 = 16. A caret is required.
Answer:
just write 123456789 ETC on the line going down and across then you will have your answer
Step-by-step explanation:
Answer:
147 degrees
Step-by-step explanation:
measure of angle A is same as measure of angle CED because they are alternate-interior angles
angle FEC + angle CED = 180
Answer:
f(x) = (x -6)² +14
Step-by-step explanation:
Completing the square involves writing part of the function as a perfect square trinomial.
<h3>Perfect square trinomial</h3>
The square of a binomial results in a perfect square trinomial:
(x -h)² = x² -2hx +h²
The constant term (h²) in this trinomial is the square of half the coefficient of the linear term: h² = ((-2h)/2)².
<h3>Completing the square</h3>
One way to "complete the square" is to add and subtract the constant necessary to make a perfect square trinomial from the variable terms.
Here, we recognize the coefficient of the linear term is -12, so the necessary constant is (-12/2)² = 36. Adding and subtracting this, we have ...
f(x) = x² -12x +36 +50 -36
Rearranging into the desired form, this is ...
f(x) = (x -6)² +14
__
<em>Additional comment</em>
Another way to achieve the same effect is to split the given constant into two parts, one of which is the constant necessary to complete the square.
f(x) = x² -12x +(36 +14)
f(x) = (x² -12x +36) +14
f(x) = (x -6)² +14
