Answer:
"The length of the resulting line segment is 20 units because translations preserve length"
Step-by-step explanation:
A translation, in maths, is the movements of a geometric shape/line in certain direction. There is no rotation, re-sizing, or alteration. It simply "moves" the line/shape in a direction. The length is not altered in any way. Translation preserves length, every point just changes place.
When we translate a figure/line, we are simply moving it elsewhere, keeping all else constant.
In this problem, the line segment at hand is 20 units and it is translated 6 units up and 8 units left. So the location of the line changes, but the length is preserved. So, 2nd answer choice is right:
"The length of the resulting line segment is 20 units because translations preserve length"
2846462910rifjfbdvheopqbducbrbeispwvthtjros
Answer:
y = (2/5)x + 2
Step-by-step explanation:
To find the inverse of a function, we simply exchange the variables x and y and solve for y.
For this function we will write it as such:
y = -5 + (5/2)x
So to find the inverse, we will swap the x and y and solve.
y = -5 + (5/2)x
x = -5 + (5/2)y
x + 5 = (5/2)y
(2/5) * (x + 5) = y
(2/5)x + (2/5)5 = y
(2/5)x + 2 = y
Thus the inverse of the function is:
y = (2/5)x + 2
Cheers.
Answer:
12
Step-by-step explanation:
Regular work week is 40 hours; at $16.50 per hour, that comes to $660.
Subtracting $660 from the toal $948.75 yields $288.75, which represents her pay at the overtime rate of (1.5)($16.50/hr), or $24.75/hour
Dividing $288.75 by this overtime rate of $24.75/hr yields 11.666 ...
We conclude that she worked approximately 12 hours overtime to end up
with $948.75 total pay.
B. False.
The net of a cube is made up of 6 squares and not 5 squares.
