1. Find the slope of the line passing through the points (-3,7) and (7,7)
2 answers:
Hi there!
To find the slope of a line when we have 2 points, we use this formula:
m=
where m is the slope.
Notice that if we subtract the y-coordinates, we get 0. We know that 0 divided by any number is 0.
So the slope of this line is 0.
So if the y-coordinates are the same, then the slope is 0.
Now, let's find the slope of the next line.
Do you see what I see?
We cannot divide by 0 because division by 0 is undefined. So the slope of this line is undefined.
Remember:
- If the y-coordinates are the same, then the slope is 0.
- If the x-coordinates are the same, then the slope is undefined.
Hope this helps you!
~Just an emotional teen who listens to her favorite song "Try Everything"
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Answer:
c = 5√5
Step-by-step explanation:
When we have a right triangle, there is a property about its measurements that is <em>always</em> true, and its called the "Pythagorean Theorem"
First, let's understand the basic terms we use to describe the sides of a triangle:
we can call one leg "a", the other leg "b" and the slanted side "c"
("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)
the pythagorean theorem:
a² + b² = c²
here, our "a" is 5, our "b" is 10 {and we don't know what c is}
let's try plugging these values into our formula:
a² + b² = c²
5² + 10² = c²
25 + 100 = c²
125 = c²
now, we know what c² is--but we want to know c,
so we must take the square root of both sides
√125 = √c²
√125 = c
now, while √125 <em>is </em>our answer, we can simplify further!
this is because 125 can be made up of 5 · 25
so,
and
we can take out the square root of 25 (5):
we write this as such:
so, in simplest radical form, c = 5√5
(√125)
hope this helps!! have a lovely day :)