Answer:
The answer to your question is below
Step-by-step explanation:
From the picture we can infer that:
The side OP is proportional to NP, is half the length of NP.
The side QP is proportional to the side RP, is half the length of RP
The triangle OPQ is proportional to the triangle NPR because the have to proportional sides and the ∠P is the same for both.
Finally, if the triangles are proportional, the side OQ is proportional to the side NR. (is half the side of NR)
Ok so basically, when you say multiply A by C, that is simplifying.
And in this case, you are factorising in this question. You turn back into brackets basically.
We have:
72x^2 - 32
x^2 = x squared
factorising means finding the factor of.
(Forget the x squared for the moment to make life easier)
Factors of 72:
1 and 72
2 and 36
3 and 24
4 and 18
6 and 12
8 and 9
(9 and 8 = it repeats so we stop there)
And then factors of 32:
1 and 32
2 and 16
4 and 8
(8 and 4 = repeats so we stop there)
Notice how we see 8 twice in both factors of 72 and 32, this means that we use 8 as the main number we are going to multiply each of the 2 numbers in the brackets by. This is because it is the biggest common factor - this is what we have!
This is what we would have:
8(9-4)
BUT, that is not the answer!
Keep in mind we have the x squared too
But, 32 doesn’t have it?!!
It would be:
8(9x^2 - 4)
Do you get it??
Try to simplify it! Does it equal to 72x^2 - 32?
(And I am so very sorry for the long explanation, once you get the hang of it, it makes sense. Hope my explanation helped) :)
Answer:
70 feet
Step-by-step explanation:
Given

Required
Determine h when t = 2
Substitute 2 for t in the given equation

Solve all exponents



Answer:
56 cent per ft²
Step-by-step explanation:
Wall dimension = 35 feets * 21.5 feets
Total cost of paint used = 421.40
Area of wall = Area of rectangle = Length * width
Area of wall = 35 feets * 21.5 feets
Area of wall = 752.5 ft²
Cost of paint per square feet:
Total coast of paint / Area of wall
$421.40 / 752.5 ft²
= $0.56 per ft²
= 0.56 * 100 = 56
Answer:
16in
Step-by-step explanation: