The slope of the perpendicular line is -1/m.
it passes through the point (a,c) therefore:-
y - c = -1/m(x - a)
y = -1/m x + a/m + c answer
Parallel line:-
c = m(a) + b
b = c - ma
y = mx + c - ma Answer
Problem 1
<h3>Answer:
104 cubic inches</h3>
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Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
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Problem 2
<h3>Answer: 650 square inches</h3>
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Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
Answer:
You would use V=3 times 5 times 4
First you would multipy 5 times 4 then when you get that answer you would multiply the 3.
Answer: 32
Step-by-step explanation:
#of sides - 3 is 35-3=32