What polynomial identity should be used to prove that 117= 125 - 8?Difference of Cubes
Difference of Squares
Square of Binomial
Sum of Cubes
Answers
Answer 1
Answer:
(a%5E%7B2%7D%20%2Bab%2Bb%5E%7B2%7D%20))
125-8=(%205%5E%7B2%7D%20%2B5*2%2B2%5E%7B2%7D%20)%3D3*(25%2B10%2B4))
=3*39=117
Answer: Difference of Cubes.
Answer: Difference of Cubes.
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Answers
Draw out a triangle with one side labeled 42 feet, and the two adjacent angles 66 and 82.
When using the law of sines, you want to label the sides of your triangle a, b, c, and the angles of your triangle A, B, C.
First, label the triangle. To make this easy, I'll tell you what I labeled them so you can follow along.
The side labeled 42 feet is side "a", and the angle opposite this side is angle A
66 degrees is angle B, and the side opposite this angle is side b
82 degrees is angle C, and the side opposite this angle is side c.
We know two angles of the triangle, 66 and 82. We also know that a triangle is made up of 180 degrees. To find the angle A, we can subtract angle B and angle C from 180.
A = 180 - 66 - 82 = 32
a = 42 b = ? c = ?
A = 32 B = 66 C = 82
Now we can start using the Law of Sines to solve for sides b and c.
the law of sines says:
sin(A) = sin(B) = sin(C)
a b c
we know a, A, and B, and we are looking for "b" so we can substitute those values into sin(A)/a = sin(B)/ b
sin(32) = sin(66)
42 b
cross multiply:
b sin(32) = 42sin(66)
divide both sides by sin(32)
b = 42sin(66) ≈ 72.4
sin(32)
We can do the same thing for side c.
sin(A) = sin(C)
a c
sin(32) = sin(82)
42 c
c sin(32) = 42sin(82)
c = 42sin(82) ≈ 78.5
sin(32)
The 3 sides are 42.0 feet, 72.4 feet, and 78.5 feet. To find the length of the fence needed to enclose the garden, simply add the three sides up.
42.0 + 72.4 + 78.5 = 192.9 feet
When using the law of sines, you want to label the sides of your triangle a, b, c, and the angles of your triangle A, B, C.
First, label the triangle. To make this easy, I'll tell you what I labeled them so you can follow along.
The side labeled 42 feet is side "a", and the angle opposite this side is angle A
66 degrees is angle B, and the side opposite this angle is side b
82 degrees is angle C, and the side opposite this angle is side c.
We know two angles of the triangle, 66 and 82. We also know that a triangle is made up of 180 degrees. To find the angle A, we can subtract angle B and angle C from 180.
A = 180 - 66 - 82 = 32
a = 42 b = ? c = ?
A = 32 B = 66 C = 82
Now we can start using the Law of Sines to solve for sides b and c.
the law of sines says:
sin(A) = sin(B) = sin(C)
a b c
we know a, A, and B, and we are looking for "b" so we can substitute those values into sin(A)/a = sin(B)/ b
sin(32) = sin(66)
42 b
cross multiply:
b sin(32) = 42sin(66)
divide both sides by sin(32)
b = 42sin(66) ≈ 72.4
sin(32)
We can do the same thing for side c.
sin(A) = sin(C)
a c
sin(32) = sin(82)
42 c
c sin(32) = 42sin(82)
c = 42sin(82) ≈ 78.5
sin(32)
The 3 sides are 42.0 feet, 72.4 feet, and 78.5 feet. To find the length of the fence needed to enclose the garden, simply add the three sides up.
42.0 + 72.4 + 78.5 = 192.9 feet
Answers
It's the last image. The one with D
Answers
This whole ugly thing is just 6 numbers that are all multiplied.
Here they are:
(-7) · (x⁶) · (y⁻³) · (5) · (x⁻¹) · (y) .
To help you see what's going on, I'm going to rearrange them
and write them in a different order. (You'll remember that when
you multiply, the order of the numbers doesn't matter.)
(-7)·(5) · (x⁶)·(x⁻¹) · (y⁻³)·(y) .
I'll bet you can see it already. It's really starting to fall apart.
Remember that when you have to multiply the same base to
different powers, you just add the powers.
So here's the multiplication:
(-7)·(5) · (x⁶)·(x⁻¹) · (y⁻³)·(y) .
| | |
-35 · x⁵ · y⁻²
-35 x⁵ y⁻²
or you could write it as -35x⁵ / y² which is the same thing.
Here they are:
(-7) · (x⁶) · (y⁻³) · (5) · (x⁻¹) · (y) .
To help you see what's going on, I'm going to rearrange them
and write them in a different order. (You'll remember that when
you multiply, the order of the numbers doesn't matter.)
(-7)·(5) · (x⁶)·(x⁻¹) · (y⁻³)·(y) .
I'll bet you can see it already. It's really starting to fall apart.
Remember that when you have to multiply the same base to
different powers, you just add the powers.
So here's the multiplication:
(-7)·(5) · (x⁶)·(x⁻¹) · (y⁻³)·(y) .
| | |
-35 · x⁵ · y⁻²
-35 x⁵ y⁻²
or you could write it as -35x⁵ / y² which is the same thing.
Answers
13 is a prime number, there is no simpler form for its square root .
Answers
20% of 160
Solve
20/100 = .20
.20*160 = 32
Answer: 32
Solve
20/100 = .20
.20*160 = 32
Answer: 32
so it wold be 20 over 100 and x over 160 so you wold cross multiply then divide
x 20
-- --
160 100 cross mulltiply
3200/100= 32 32=answer
x 20
-- --
160 100 cross mulltiply
3200/100= 32 32=answer
Answers
Answer:
It is a function because there is one y value for any x value, and it passes the VERTICAL line test. Horizontal line test is for checking if it is one-to-one, which will tell you if the inverse is a function or not.