The vertices of a right triangle are (–6, 4), (0, 0), and (x, 0). Find the value of x.
Answer:

Step-by-step explanation:
We are given the two functions:

And we want to find:

This is equivalent to:

By substitution:

Rearranging yields:

Combine like terms:

Hence:

A) about 14 square units
You have 11 fully filled squares 2 that are mostly filled and 2 that are about half filled
So 11+2+2(1/2)= about 14
Let's start by assuming Armando's house is between Joey's and the park.
Let

be the distance Joey walked to Armando's house.
<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.
</span>


That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)
Let

be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

Let's get rid of the plus/minuses. Squaring,



For us, that's a quadratic equation for


I'll skip right to the solutions,


We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.
Answer:
1. b
2. a
3. d
4. c
Step-by-step explanation: