The distance between the points (2,1) and (14,6) on a coordinate is C. 13 units
1. X=5
2. I think I’m not sure is - 5.04
<u>Answer:</u>
The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
<u>Solution:</u>
Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)
We have to find the line equation which is perpendicular to above given line and passing through the given point.
Now, let us find the slope of the given line equation.

We know that, <em>product of slopes of perpendicular lines is -1.
</em>
So, 1
slope of perpendicular line = -1
slope of perpendicular line = -1
Now let us write point slope form for our required line.

y – (-2) = -1(x – (-3))
y + 2 = -1(x + 3)
y + 2 = -x – 3
x + y + 2 + 3 = 0
x + y + 5 = 0
y = -x -5
Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
Answer: g = -4 and h =1 or g= -1 and h = -2
Step-by-step explanation:
If two exponents have the same base and are multiplied together, you will keep the base unchange and add the exponents.
So looking at the equation, the base is 2 for both and they are raised to the powers g and h, meaning that if g and h are added together they have to equal -3.
So find two numbers that their sum is -3.
For example, -1 and -2 add up to -3, -4 and 1 add up to -3.