360 degrees.
Hope this helps :)
Answer:
y = 
x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (3, 3) ← 2 points on the line
m = 
=
Note the line crosses the y- axis at (0, 1) ⇒ c = 1
y = x + 1 ← equation of line
After a first glance you can see that 3x^2 - 75 is not a difference of squares in the current form, because for one 3 and 75 are not squares.
So we'll have to see if we can factor something out of both of them. The only number it can be is 3, because the only number besides 3 that goes into 3 is 1.
So is there any number that can multiply by 3 to equal 75?
If you said 25 then you are correct. :p
So then our problem would look like this:
3(x^2 - 25)
Now we have a difference of squares!
Remember a difference of squares can be factored like this!
(a^2 - b^2) = (a - b)(a + b)
3(x - 5)(x + 5)
Is our answer!
Y can be found by setting the 3 angles in the bottom triangle equal to 180 degrees like so:
45 + 55 + y = 180
100 + y = 180 (Simplify)
y = 80 (Subtract 100 from both sides)
Angles x and y are opposite angles, so they are equal to each other. This means that x = 80 degrees also.
Polynomial that represents a difference in cubes.
x³ - 64 = 0
x³ = 64
∛x³ = ∛64
x = 4
Correct Steps for factoring the polynomial 5x³ - 40
5(x³ - 8)
5((x)³ - (2)³)
5(x - 2)(x² + 2x + 4)
To check:
5(x - 2)(x² + 2x + 4)
(5x - 10) (x² + 2x + 4)
5x(x² + 2x + 4) - 10(x² + 2x + 4)
5x³ + 10x² + 20x - 10x² - 20x - 40
5x³ + 10x² - 10x² + 20x - 20x - 40
5x³ - 40
