Answer:
Correct answer is:
The transformation was a 180° rotation about the origin.
Step-by-step explanation:
Given the triangle RST formed by points:
is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :
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 .
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<em> total rotation is </em>
.
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Evaluate the expression 4(2x+y)-2y+z for x=-2, y=4 and z=-3
Before inserting the values of the variables, I recommend writing the equation in its simplest form.
First, use the distributive property and distribute 4:-
8x+4y-2y+z
Simplifying,
8x+2y+z
Now that the expression is in its simplest form, we can substitute the variables and simplify the expression.
First, write -2 in lieu of x:-
8(-2)+2y+z
-16+2y+z
Now, write 4 in lieu of y:-
-16+2(4)+z
-16+8+z
-8+z
Final step:-
write -3 in lieu of z:-
-8+(-3)
-8-3
-11
<h3>Good luck.</h3>
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The correct answer is 3 and any number you can really think of that equals 6
I did this to get 47.5 as the answer not 47 im not sure why but i did (61-7+7×1/2)+17 using the PEMDAS please excuse my dear aunt sally
parenthesis exponents multiply divide add subtract
Answer:
1440 yd³
1200 yd³
Step-by-step explanation:
A local aquarium purchased a new turtle tank for their giant turtle exhibit for their giant turtle exhibit.
By using the dimensions 15yd by 12yd by 8yd and the shape of the tank is cubooid
We can determine volume by using the formula i.e
V = (Length) × (Width) × (Height),
then the volume of the tank will be
V = 15 × 12 × 8 =
V=1440 yd³.
Now , by using dimensions 15 yd by 8 yd by 10 yd
The volume will be,
V = 15 × 8 × 10 = 1200yd³
