Answer:
Step-by-step explanation:
We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.
the distance formula is generally written as:
for the side AB: A(-2,2,3) and B(4,-4,3)
for the side BC: B(4,-4,3) and C(7,6,4)
for the side CA: C(7,6,4) and A(-2,2,3)
Now we all the sidelengths:
to find the perimeter we need to just sum the three side lengths:
this is the perimeter of triangle ABC
Direct Proportion functions look like this:
y=kx
'k' is the constant of proportionality and in this case its 7.5 or 15/2.
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When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5
Therefore y is directly proportional to x.
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DIRECT PROPORTION EXPLAINED:
Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C<span>∝f, therefore C=kf, but as k=7.5, C=7.5f.
INVERSE PROPORTION EXPLAINED:
If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.
T=time to set up a wall
b=bricklayer(s)
Therefore T</span><span>∝1/b, and T=k/b. In this case k=8 so T=8/b.
When b=1, T=8.
When b=2, T=4.
We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.</span>
Answer:
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = 2(L + W)
Where
L represents the length of the rectangle.
W represents the width of the rectangle.
A proper rectangle has a length of 6 inches and a with of 8 inches. The area of the rectangle would be
6 × 8 = 48 inches^2
A square with a side length of 3 inches was cut of it. The formula for determining the area of a square is l^2
Therefore,
Area of square = 3^2 = 9 inches ^2
The area of the remaining paper would be
48 - 9 = 39 inches^2
Answer:
The answer for this is x=-5
