How many centimeters was it at first then I can help you
3x>-10-5. 3x>-15. x>-15/3. x>-5.
Answer: The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.
Step-by-step explanation: Since a dilation is not performed, the shape and size stay the same no matter how it is moved throughout the coordinate plane.
Answer:
Step-by-step explanation:
You need to use synthetic division to do all of these. The thing to remember with these is that when you start off with a certain degree polyomial, what you get on the bottom line after the division is called the depressed polynomial (NOT because it has to math all summer!) because it is a degree lesser than what you started.
a. 3I 1 3 -34 48
I'm going to do this one in its entirety so you get the idea of how to do it, then you'll be able to do it on your own.
First step is to bring down the first number after the bold line, 1.
3I 1 3 -34 48
_____________
1
then multiply it by the 3 and put it up under the 3. Add those together:
3I 1 3 -34 48
3
----------------------------
1 6
Now I'm going to multiply the 6 by the 3 after the bold line and add:
3I 1 3 -34 48
3 18
_________________
1 6 -16
Same process, I'm going to multiply the -16 by the 3 after the bold line and add:
3I 1 3 -34 48
3 18 -48
___________________
1 6 -16 0
That last zero tells me that x-3 is a factor of that polynomial, AND that the depressed polynomial is one degree lesser and those numbers there under that line represent the leading coefficients of the depressed polynomial:

Factoring that depressed polynomial will give you the remaining zeros. Because this was originally a third degree polynomial, there are 3 zeros as solutions. Factoring that depressed polynomial gives you the remaining zeros of x = -8 and x = 2
I am assuming that since you are doing synthetic division that you have already learned the quadratic formula. You could use that or just "regular" factoring would do the trick on all of them.
Do the remaining problems like that one; all of them come out to a 0 as the last "number" under the line.
You got this!
Answer:
y = -3x + 4
Step-by-step explanation:
y = 4, this is where your line intersects with the y axis.
x = 1 is where your line is on the x axis (you want to include the part of the line that hits a point straight on, not one that goes past it.) So when it lands on the corner of the grids like the 4 for the y axis does, that is the point you are going to use.
Rise/Run is then your equation, so since you go down 3 and over 1 (counting from your y axis point), your slope is -3/1 or -3.
Then goes your y axis, so the final equation is
y= -3x + 4
I hope this helped!