Answer:
D. Segment YZ is located at Y(0,1) and Z(−2,1) and is one-third the size of segment Y'Z'
Step-by-step explanation:
When you dilate a point by a factor of x from the origin, you multiply its coordinates by the same factor.
Thus, if the coordinates of the original point are (1,2) and the scale factor is 3, those of its image are (3,6).
If Y'Z' has endpoints at Y'(0,3) and Z'(-6,3) and was dilated by a factor of 3, the coordinates of the endpoints of the pre-image were ⅓ those of the image.
The figure below shows the segments YZ and Y'Z'.
Answer:
81.66 repeating
Step-by-step explanation:
86+72+65+82+91+94=490
490÷6=81.66 repeating
EDIT: this answer is false
Answer:
you keep multiplying by five
Step-by-step explanation:
So 1 x 5 is five, 5 x 5 is 25, 25 x 5 is 125, so on and so forth.
9514 1404 393
Answer:
360
Step-by-step explanation:
Sam obtains a "contribution margin" of $0.50 -0.25 = $0.25 per cookie. That will cover the cost of baking supplies when he sells ...
$90 / ($0.25/cookie) = 360 cookies
Sam needs to sell 360 cookies before he can start making a profit.
_____
If you like, you can find Sam's break-even point by equating revenue and cost. The is the number of cookies Sam must sell for a profit of 0, that is, for non-negative profit.
P = R - C
0 = R - C
R = C
0.50n = 90 +0.25n
0.25n = 90 . . . . subtract 0.25n
n = 90/0.25 = 360 . . . .divide by the coefficient of n
You may notice this is similar to our description above.