Answer:
R''(2, 1), S''(-1, 7), T''(2, 7)
Step-by-step explanation:
Rotation 90° CCW is accomplished by the transformation ...
(x, y) ⇒ (-y, x)
Translation 3 left and 8 up is accomplished by the transformation ...
(x, y) ⇒ (x -3, y +8)
Together, the two transformations give ...
(x, y) ⇒ (-y -3, x +8)
So your transformed points are ...
R(-7, -5) ⇒ R''(-(-5)-3, -7+8) = R''(2, 1)
S(-1, -2) ⇒ S''(-(-2)-3), -1+8) = S''(-1, 7)
T(-1, -5) ⇒ T''(-(-5)-3, -1+8) = T''(2, 7)
So I guess we are solving for x here :)
So here is my work...
a=2x+6xz
Basically I think it would be
a=6xz+2x
WAIT WAIT NO I'M WRONG FORGIVE ME!
It's x=a/2(1+3z)
64
Step-by-step explanation:
We will divide the volume of the larger cube with that if the smaller cube. However, we’ll first have to convert them to the same SI units;
12 inches = 1 foot
Therefore the volume of the larger cube;
12 * 12 * 12 = 1728 inches cubed
The volume of the smaller cube;
3 * 3 * 3 = 27 inches cubed
Divide the two;
1728/27
= 64
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Well, if the the triangle is rotated clockwise it will lie in quadrant 4. if it is rotated anticlockwise it will lie on quadrant 2
hope this helps
Answer:
1. I have simplified the first question:
![x=\frac{10-ab}{a-4};\quad \:a\ne \:4](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10-ab%7D%7Ba-4%7D%3B%5Cquad%20%5C%3Aa%5Cne%20%5C%3A4)
2. I have found the parabola properties:
![\left(h,\:k\right)=\left(\frac{5}{2},\:\frac{25}{4}\right),\:p=-\frac{1}{4}](https://tex.z-dn.net/?f=%5Cleft%28h%2C%5C%3Ak%5Cright%29%3D%5Cleft%28%5Cfrac%7B5%7D%7B2%7D%2C%5C%3A%5Cfrac%7B25%7D%7B4%7D%5Cright%29%2C%5C%3Ap%3D-%5Cfrac%7B1%7D%7B4%7D)