Y = a |x-k|+h
a = slope it can be either vertical compression or vertical stretch
k = determines if a point should move right or left (x-axis)
h = determines if a point should move up or down (y-axis)
The answer to the question would be
y = - |x - 2.5|-7
There were 18 adults on the field trip. See, since 8x6=48, and there are 3 adults in each group, and there are 6 groups, there are 18 adults (6x3=18)
13g + 4m = D
g=number of computer games
m=number of magazines
D=$ spent
The answer is b the median decreased and the median increased
Answer: x = 8√7, y = 4√21
Explanation:
1) There are three triangles.
2) The small triangle of the right has a right angle, and the sides are the height, x and 16.
3) The small triangle of the left, has a righ angle, and the sides are the heigth, y and 12.
4) The big triangle has a right angle, and the sides are the x, y and 28.
5) Set three equations using Pytagora's theorem for the three triangles..
a) y^2 + x^2 = 28^2 = 784
b) h^2 + 12^2 = y^2
c) h^2 + 16^2 = x^2
6) Subtract b) from c)
16^2 - 12^2 = x^2 - y^2
=> x^2 - y^2 = 112
add x^2 - y^2 = 112 with the equation a)
x^2 - y^2 = 112
x^2 + y^2 = 784
----------------------
2x^2 = 112 + 784
2x^2 = 896
x^2 = 896 / 2 = 448
x = √448
x = 8√7
7) now you can use any a) to find y:
y^2 + x^2 = 784
=> y^2 = 784 - x^2
=> y^2 = 784 - 448
=> y^2 = 336
=> y = 4√21
Answer: x = 8√7, y = 4√21
