Answer:
- D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
<em>See the picture for better visual</em>
Take segments ST and S'T'. If we extend them they will intersect at right angle.
It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.
The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.
<u>This rotation rule is:</u>
We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.
<u>We now can conclude the correct choice is D:</u>
- A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Answer:
See below.
Step-by-step explanation:
I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.
♦ The midline's length is the average of the lengths of the top and bottom parallel sides.

Use this equation and substitute values given in each problem, then solve for the missing information.
1. AL = x, CE = 9, OR = 5

2. AL = <em>m</em> - 4, CE = 15, OR = 17

3. OR = y + 5, AL = 15, CE = 18

You have to divide $43 by 4 to get the hourly rate. After the math is done, we know that Keith earns $10.25 per hour. Now you have to mulitiply $10.25 by 11 (since you want to know how much Keith get in 11 hours) which would give you $118.25 in 11 hours. YOU'RE WELCOME :D
Answer:
System utilization = 0.7 or 70%
Step-by-step explanation:
Given arrival rate of customer = 15 customer/Hour
Servie rate =
Now, use the below formula to find the system utilization.
System utilization =
System utilization =
System utilization =
System utilization = 0.7 or 70%
The given equation of parabola is

Which can also be written as

Here vertex (h,k) is (1,2)
And value of a is

Formula of focus is

Substituting the values of h,k and a, we will get

Therefore the correct option is the last option .