Plz help with this extra points
1 answer:
Answer:
- The graphed is attached.
- It's an enlargement.
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 4.
Since:
So it is an Enlargement.
Now we need to multiply the coordinates of the vertices of VWXY by 4, in order to find the coordinates of the vertices of V'W'X'Y'. These are:
Now we must draw the pre-image and the pre-image and label them, as you see in the picture attached.
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Answer:
Step-by-step explanation:
When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:
Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:
Subtract 6 from both sides:
Divide everything by 3:
Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.
-6 and 1 works. Thus:
Find the x using the Zero Product Property:
Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.
So, the first zero is:
Assume that the correct symbol is >. Thus,
Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:
0 is indeed less than six, so our first correct solution is:
For the second one, do the same thing. We have:
Assume that the correct symbol is <. Thus:
Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation
Again, this is correct. Therefore, x<2 is also the correct inequality.
So together, we have:
Together, we can write them as:
(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)