Given:
Original point (2, -2)
Scale factor (k) = 5
Center = origin = (0, 0)
To find:
The image of (2, -2)
Solution:
Let 
be the original point and 
be the image of the point.
Image of the point is obtained by multiplying original point by scale factor.
Substitute the given values:
The image of (2, -2) after dilation is (10, -10).
Basic Pay = $40
Commission for 1 pair of shoes = $4.50
Let x be the number of shoes he needs to sell.
40 + 4.5x ≥ 112
4.5x ≥ 72
x ≥ 16
Answer: He must sell at least 16 pairs of shoes.
I bet this question is a science joke. My answer for this would be Elepants. Large circus animals wear elepants to keep their legs warm. People wear pants to keep the bottom parts warm and one of the large animals that we can see in a curcus are elephants. So, yeah, elepants it is.
Answer:
1.59C + 2.25A = 786.75
C + A = 33 (even if all were the higher paying adults, that would only be 33x2.25=74.25 far less than <<786.75)
1.59C + 1.59A = 33(1.59) = 52.47 subtract to eliminate C
(2.25-1.59)A = 786.75 -52.47 = 734.28
.66A = 734.28
A = 73428/66 = 1112.55 = about 1113 adults
C = 33-1113 = -1080 children
which makes no sense. over a thousand "negative" children? the public pool gave refunds to over a thousand prepaid children who didn't show up? but a public swimming pool, no matter how large, probably wouldn't accomodate 1113 adults.
Step-by-step explanation:
Standard form of line:
Ax + By = C
where A, B, and C are integers, and A is positive
slope-point form of a line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line. Replacing with m = 3 and point (2, 5):
y - 5 = 3(x - 2)
y - 5 = 3x - 3(2) distributing
y - 5 = 3x - 6
y - 5 - y = 3x - 6 - y subtracting y at both sides
- 5 = 3x - 6 - y
- 5 + 6 = 3x - 6 - y + 6 adding 6 at both sides
1 = 3x - y which has the standard form
