Answer:
Step-by-step explanation:
Numerator: 2^3
Denominator: 2^(1/2)
Combining these, we subtract 1/2 from 3, obtaining 2^(5/2)
Answer: $15.94
Step-by-step explanation:
Let r be your rate you get paid per hour normally. Let's set up this equation.
(30 * r) + 4(1.5 * r) = 573.83
30r + 6r = 573.83
36r = 573.83
r = 15.94 (rounded)
You get paid $15.94 hourly.
Answer:
480 students want more field trips.
60 students is 10%.
Step-by-step explanation:
There are 600 students, and 80% want more field trips.
80% of 600 is 0.8*600 = 8*60 = 480 students.
480 students want more field trips.
Y - y1 = m(x - x1)
slope(m) = -4/3
(0,-12)....x1 = 0 and y1 = -12
sub
y - (-12) = -4/3(x - 0) =
y + 12 = -4/3(x - 0) <=== point slope form
y + 12 = -4/3x
y = -4/3x - 12 <=== slope intercept form
y = -4/3x - 12
4/3x + y = -12
4x + 3y = -36 <=== standard form
Answer:
Dilation.
Step-by-step explanation:
From the given picture , it can be seen that the size of trapezoid P'Q'R'S' is decreased from trapezoid PQRS .
Reflection , rotation and translation are rigid motions that produces congruent images and do not change the size of the shapes.
But dilation is not a rigid motion because it changes the size of the shape by using a scale factor.
Hence, the transformation maps trapezoid PQRS onto trapezoid P'Q'R'S' is "Dilation".
