Answer:
Correct Answer: (8,2)
Step-by-step explanation:
<u>Dilation about the origin</u>
Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.
In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).
The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)
Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.
If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.
Therefore, we can set up a tangent equation.
From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:
tan(28) = x /90
x = 47.88
From the top of the short cliff to the bottom, we can right and solve the following trip equation.
tan(38) = x/90
x = 70.32
The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.
Answer:
Step-by-step explanation:
if you need help let me know
So, the questions is 6^(-6) * 6^(-1).
Remember, whenever we are multiplying two numbers with the same base and with different exponents, we should always add the exponents and keeps the same base.
In this ,case it is, -6 and -1.
-6 + (-1) = -7
So the answer would be 6^(-7).
If you have any questions, please comment below.
