Answer:
B. 
Step-by-step explanation:
The vertices of triangle ABC have coordinates A(5,2) B(2,4) and C(2,1).
The mapping for reflection in the x-axis is
When we reflect triangle ABC in the x-axis, we obtain
A1(5,-2) B1(2,-4) and C1(2,-1).
The mapping for 90 degrees clockwise rotation about the origin is
When we rotate the resulting triangle through 90 degrees clockwise above the origin, we obtain;
A2(-2,-5) B2(-4,-2) and C2(-1,-2).
The vertices of triangle A''B''C'' also have coordinates A''(-2,-5) B''(-4,-2) and C''(-1,-2).
Hence the rule that describes the composition of transformation that maps ABC to A''B''C'' is
The correct choice is B.
Answer:
D) 2/3 x - 8
E) -4x + 11
Step-by-step explanation:
y ∈ R | -∞ < y < ∞ just means that the range for y is all real numbers in a function. For y to be all real numbers, the function, when graphed, has to have no top or bottom limit. The only graphs without top or bottom limits are D and E.
A has a bottom limit
B has a bottom limit
C has a top limit
Answer:
A. 64 trucks and 80 cars
Step-by-step explanation:
The ratio is 4:5 or 4/5, which equals 0.8. Divide the number of trucks by the number of cars to see which other answer equals 0.8. The only one that does is A.
Answer:
Step-by-step explanation:
![volume = \frac{4}{3} \pi {r}^{3} \\ \\ 288\pi = \frac{4}{3} \pi {r}^{3} \\ \\ 3(288\pi) = 4\pi {r}^{3} \\ \\ \frac{3(288\pi)}{4\pi} = {r}^{3} \\ \\ 216 = {r}^{3} \\ \\ r = \sqrt[3]{216} \\ r = 6](https://tex.z-dn.net/?f=volume%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%20288%5Cpi%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B3%7D%20%5C%5C%20%20%5C%5C%203%28288%5Cpi%29%20%3D%204%5Cpi%20%7Br%7D%5E%7B3%7D%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B3%28288%5Cpi%29%7D%7B4%5Cpi%7D%20%20%3D%20%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%20216%20%3D%20%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20%20%5C%5C%20r%20%3D%20%20%5Csqrt%5B3%5D%7B216%7D%20%20%5C%5C%20r%20%3D%206)
Answer:
Step-by-step explanation:
Let height of a banner be 
, then we know that this is 
of the length 
of the banner; so we have
.
Now we can rearrange this equation to solve for the length of the banner given it's height:
So there we have it!
If the banner is 5 ft tall, then it's length will be:
