Answer:
D
Step-by-step explanation:



40 = 0.5r
40/0.5 = r
80 = r
just divide the number in front of the r so that you can figure it out
Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function
.
The new transformed function is 
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes
.
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes
.
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
Answer:

Step-by-step explanation:
General slope intercept form equation of straight line is given as

where m is slope and b is y-intercept
here m=24 and b=-5
Therefore

Answer:
x= 4
y= -5
Step-by-step explanation:
-2x+6y=-38 equation 1
3x-4y=32 equation 2
using equation 1 we have:
-2x+6y=-38
6y +38 = 2x
3y + 19 = x equation 3
using equation 3 in equation 2 we have:
3(3y + 19) - 4y = 32
9y + 57 -4y =32
5y = 32 -57
5y = -25
y= -25/5
y = -5
so we have:
3y + 19 = x
3(-5) +19 = x
x= 4