Answer:1. Is right 3 down 5, because to get from x(0,0) to x'(3,-5), you need I shift to the right 3 and downwards 5.
2. Counterclockwise 180 degrees. This is because 180 degrees is half of a full rotation (360 degrees), meaning the point would be the same no matter which way you rotated 180 degrees.
3. Clockwise 90 degrees. Going counter clock wise 270 degrees is like going around 3/4 of a circle (because 270/360 is 3/4). Just as well, going clock wise 90 degrees is like going 1/4 of the circle, but in the opposite direction. This means they will both land at the same point.
Hope this Helps!
Step-by-step explanation:
Answer:
both kinds of tickets are $5 each
Step-by-step explanation:
Let s and c represent the dollar costs of a senior ticket and child ticket, respectively. The problem statement describes two relationships:
12s + 5c = 85 . . . . . revenue from the first day of sales
6s + 9c = 75 . . . . . . revenue from the second day of sales
Double the second equation and subtract the first to eliminate the s variable.
2(6s +9c) -(12s +5c) = 2(75) -(85)
13c = 65 . . . . . simplify
65/13 = c = 5 . . . . . divide by the coefficient of c
Substitute this value into either equation. Let's use the second one.
6s + 9·5 = 75
6s = 30 . . . . . . . subtract 45
30/6 = s = 5 . . . divide by the coefficient of s
The price of a senior ticket is $5; the price of a child ticket is $5.
Answer:
c.
Step-by-step explanation:
From the last row in the matrix z = 1.
From the second row:
y + 5z = -4
y = -4 -5(1) = -9.
From the first row:
x + -1 = -3
x = - 3 + 1
x = -2.
Answer:
30
Step-by-step explanation:
the factors are 1,2,3,5,6,10,15,30
Answer:
m + p >= 100
m >= 40
p >= 10
Step-by-step explanation:
let m = number of mugs
let p = number of plates
