The slope of that equation is (1/3)x. To find the perpendicular slope of a slope, you would have to find the reciprocal. To do this:
Flip the slope, and add a negative. It'll equal to -3x. Visual representation:
https://puu.sh/zPz5u/85fcdde6ab.png
now the perpendicular slope is -3, you will need to put this into point slope form, which is y - y1 = m(x - x1)
x1 = 5, y1 = -3
It'll equal to: y + 3 = -3(x - 5)
Now, you need to convert this to slope intercept form y = mx + b. All you need to do is just to distribute the -3 in that binomial, and move that 3 in the left side to the right side. It is easy!
Follow the representation, and there you go!
https://puu.sh/zPzak/d3ee776f3d.png
Answer:
k = 4
Step-by-step explanation:
16k = 16(4) = 64 and
64 = 4 × 4 × 4
![\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D)
= ![\sqrt[3]{4^{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%5E%7B3%7D%20%7D)
= 4
The area of the base of cube B is 25/9 times larger than the area of the base of cube A.
<h3>How many times larger is the base area of cube B than the base area of cube A? </h3>
Because the cubes are similar, then we know that the dimensions of cube B are a dilation of scale factor K of the dimensions of cube A.
Then, the volume of cube B is K³ times the volume of cube A.
The area of any face of cube B is K² times the area of any face of cube A
From this we can write:
125 in³ = K³*27in³
(125/27) = K³
If we apply the cubic root in both sides, we get:
∛(125/27) = K = 5/3
Then the relation between the areas is equal to:
K² = (5/3)^2 = 25/9
The area of the base of cube B is 25/9 times larger than the area of the base of cube A.
If you want to learn more about dilations:
brainly.com/question/3457976
#SPJ1
The combined areas of 2 circles with the same radius would be half the distance of a circle with double the radius. The reason is because you are doubling only the total area when you have 2 different circles. When you double the radius of the circle when finding the are ma you are actually doubling 2 dimensions, so you double it and then double it again making it 4 times as big.