Answer:
Q' (2,4)
R' (3,1)
S' (5,3)
Step-by-step explanation:
When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.
We start with

and wish to write it as

First, pull 2 out from the first two terms:

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have

and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square:

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have

and when we multiply that out it does not give us what we started with. It gives us

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.
We do this as follows:

which gives us the final expression we seek:

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e = -103
We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106
9514 1404 393
Answer:
(a) ❘-270 - 30❘
Step-by-step explanation:
One score is -270 and the other is +30. The difference is either of ...
|30 -(-270)|
or
|-270 -30| . . . . . . matches choice A
Answer:

Here,
denotes number of frosting flowers
Step-by-step explanation:
Let
denotes number of frosting flowers.
Amount charged by baker for each batch of cupcakes = $30
Amount charged for each frosting flower = $0.09
So,
Amount charged for
frosting flowers = 
Therefore,
Total cost of a batch of cupcakes with frosting flowers = 
Answer:
Step-by-step explanation:
<u>The side of the square is w/2, then its area is:</u>
<u>The shaded area is the difference of areas of the rectangle and the square:</u>
<u>This can be simplified:</u>
- 56w - w² = 336
- w² - 56w + 336 = 0