Answer:
(-5, 3)
Step-by-step explanation:
The coordinates of the midpoint are the averages of the endpoints.
-1.5 = (x + 2) / 2
-3 = x + 2
x = -5
6 = (y + 9) / 2
12 = y + 9
y = 3
Multiply each of "2x" and "-1" by 3 in turn: 6x - 3 (answer)
Answer:
65000(1.02)^n.
Step-by-step explanation:
Salary = 65000(1.02)^n where n is the number of years he has worked for the company.
So after one year he earns $6500* 1.02 and after 2 years $65000 * 1.02^2.
<u>I believe I have to calculate the area of the shape. I'll do that.</u>
Answer:
<em>Total area = 23.04 square m</em>
Step-by-step explanation:
<u>Area of a compound shape</u>
The shape shown in the figure can be divided into two smaller rectangles. We need to find their dimensions.
The single tick in the 2 m side indicates the other side also measures 2 m. This means the width of one of the smaller rectangles is 5.2m - 2 m = 3.2 m
The double tick in the 5.2 m also indicates the length of that smaller rectangle is 5.2 m. Thus the two rectangles have their respective areas as:
A1 = 5.2 m * 3.2 m = 16.64 square m
A2 = 2 m * 3.2 m = 6.4 square m
The total area is:
At = 16.64 square m + 6.4 square m = 23.04 square m
Total area = 23.04 square m
- Midpoint formula is
.
<h3>19.</h3>
So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such:
From here we can solve for the x-coordinate of Q.
Firstly, multiply both sides by 2: 
Next, subtract both sides by 2 and your x-coordinate is 
With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

<u>Putting it together, the missing endpoint is (8,4).</u>
<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>
<h3>20.</h3>


<u>The missing endpoint is (7,2).</u>
<h3>21.</h3>


<u>The missing endpoint is (-5,1).</u>