Answer:

Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

The coefficient of the x is the slope

The slope of the perpendicular line is the negative reciprocal of m, thus

We know the second line passes through (2,3). That is enough information to find the second equation:


Operating

Simplifying

That is the equation in slope-intercept form. Intercept: y=4
<u>Answer:</u>
x = ±5
<u>Step-by-step explanation:</u>
We are given the following polynomial function and we are to find all of its real roots:

Let
so we can now write it as:

Factorizing it to get:



Substitute back
to get:

The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.
I hope this helps you
-4,-3,-2,-1,0,1,2,3,4,5,6
Answer:
(B)
The elevation of the chameleon
Step-by-step explanation:
the fly is above the chameleon, so it's elevation should be represented by a positive number
Answer: -100 + x = 40
Step-by-step explanation: We know she starts at -100 feet, she is increasing in elevation, so we want to add a positive x to her initial value of -100. If we keeping adding that x, it will soon result in a positive value of 40.