Rationalizing factor of 3-√5

Mathematics

1 answer:

iris [78.8K]2 years ago

7 0

Answer:

Your rationalizing factor becomes : [ 9 + 25^(1/3) - 3 x 5^(1/3) ]. Therefore, Therefore, and both are rational and as such is also rational.

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PLEASE HELP ME I BEG YOU

mylen [45]

The slope intercept form for a line is y = mx + b.
↑ <span>↑

m is the slope of the line or how steep it is. b is where the line runs into the y axis at one point. x and y are the values you plug in when you have a specific point you want to use (x, y).

For the first picture, you can see that the line "intercepts" or collides with the y axis at 1. Thus we know the b value.

To find the slope, you just pick 2 points on the line and plug them into a little equation (try to memorize this equation, it helps to find slope):

m = (y</span>₂ - y₁)/(x₂ - x₁)

The two points we'll use are (1, 0) and (0, 1) since x goes through both of
those points. ↑ ↑ ↑ ↑
x₁ y₁ x₂ y<span>₂

m = (1 - 0)/(0 - 1)

m = 1 / -1

m = -1

This makes sense - since the slope is going downward, the slope is negative.

So the equation is:

y = -x + 1

____________________________________________________________

For the second problem, We can see the line intercepts the y-axis at -5. That is our b value.

The the slope of this line is 0 since it is not going up or down, so that is our m value:

y = 0(x) - 5 = -5

The equation of the line is y = -5</span>

8 0

3 years ago

Which equation can be used to find the surface area of the cylinder?

miss Akunina [59]

Answer:

The fourth one

Step-by-step explanation:

Surface area of a cylinder: $SA=2\pi rh+2\pi r^2$