Answer: See the picture attached.
Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case we know that the scale factor is:
Since:
It is a Reduction.
You can identify that the vertices of the quadritaleral are:
So you need to multiply the coordinates of eac vertex by 
in order to get the coordinates of the image.
Then, you get:
Now you can plot the points and draw the image of the given quadrilateral.
See the picture attached.
Answer:
3x + 5
Step-by-step explanation:
Add like terms together:
8x - 2 - 5x + 7
3x - 2 + 7
3x + 5
X=7 and x+1=8 are two consecutive integers.
Well, I have an example that might help:
Rico's MP3 player holds songs of three different genres: grindcore, zydeco, and kuduro. There are <span>55</span> times as many grindcore tracks as there are zydeco tracks, and there are <span>77</span> times as many kuduro tracks as there are zydeco tracks. Let <span>xx</span> represent the number of zydeco tracks. Write an expression for the total number of tracks on the MP3 player, and simplify it.
Multiply the number of zydeco tracks by <span>55</span> to get the number of grindcore tracks.
<span><span>5x</span><span>5x</span></span>
Multiply the number of zydeco tracks by <span>77</span> to get the number of kuduro tracks.
<span><span>7x</span><span>7x</span></span>
Add up the numbers of all the tracks.
<span><span>x+5x+7x</span><span>x+5x+7x</span></span>
Simplify using the distributive property.
<span><span><span>=(1+5+7)x</span><span>=13x</span></span><span><span>=(1+5+7)x</span><span>=13x</span></span></span>
So, Rico's MP3 player holds <span><span>13x</span><span>13x</span></span> tracks.
I hope I helped you!
