Look in the file below for the answer
Answer:
4+3x
Step-by-step explanation:
-2x and 5x could be combined since they're like terms
Instead of 4-2x+5x, the expression would be 4+3x.
Answer:
-(4,-3)
Step-by-step explanation:
You need to find the slope from point o to b, and then multiply it three times to get to b prime.
Answer:
Correct answer is:
The transformation was a 180° rotation about the origin.
Step-by-step explanation:
Given the triangle RST formed by points:
![R (1, 1),\\S (3, 1)\ and\\T (1, 6)](https://tex.z-dn.net/?f=R%20%281%2C%201%29%2C%5C%5CS%20%283%2C%201%29%5C%20and%5C%5CT%20%281%2C%206%29)
is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :
![R' (-1, -1),\\S' (-3, -1)\ and\\T' (-1, -6)](https://tex.z-dn.net/?f=R%27%20%28-1%2C%20-1%29%2C%5C%5CS%27%20%28-3%2C%20-1%29%5C%20and%5C%5CT%27%20%28-1%2C%20-6%29)
Please refer to the attached image for the given dimensions and coordinates.
It is clearly visible that:
The given triangle RST has coordinates in first quadrant.
and the resulting coordinates R'S'T' are in third quadrant.
The rotation of angle from 1st quadrant to 2nd quadrant is
and
The rotation of angle from 2nd quadrant to 3rd quadrant is
.
<em></em>
<em> total rotation is </em>
.
<span>The perimeter of a rectangle is:
P = 2(l + w)
So we have:
P = 2(l + x)
This is one of our expressions.
It says the length is 3 times the width.
So we have 3 * x or 3x.
We can write:
l = 3x
Now plug this into the formula:
P = 2(l + x)
Plug in '3x' for 'l'</span>