What is the slope of a line between the points (-10, 10) and (-10, 14).
Your answer

Undefined

Step-by-step explanation:

The answer is undefined. (The line is not a function.) We know this because there is a different "y" value for the x, despite the x value being the same.

Another way to think about this is if you construct a graph, you can see that a vertical line is formed. This means that it does not pass the vertical line test, which is a test that you do on a line. If you are able to construct a vertical line that intersects a line in more than one spot, it fails. A failed test means that the line is undefined.

Therefore, the slope is undefined.  

Feel free to ask any questions you may have!

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.