Answer:
-9
Step-by-step explanation:
8x-4=6x-10
2x-4=-10
2x=-6
x=-3
-3x3= -9
Answer: The range is 
Explanation:
The parabola opens down, forming a "frowny face" in a way (just without the eyes). Or you can think of it as a hill or mountain. This means that the vertex (-3,-6) is at the top of that mountain. It's the highest point of that parabola.
The range is the set of all possible y values. We see that y = -6 is the largest it can get. So y = -6 or y is smaller than this. We would then write
to describe all the possible y values.
Therefore, the range is 
This translates to "y is a real number such that y is -6 or smaller".
So the second answer you wrote is close, but you forgot the "or equal to" portion of the inequality sign.
See below for a visual example of what's going on.
Answer:
N is (8,5)
Step-by-step explanation:
Find the difference between M, and A, then add it to the M coordinates
The difference between M (x) and A (x) is 3, so you have to add 3 to M's x coordinate to get the N's x coordinate.
Do the same for the y coords and you will get (8,5)
Using the cosine function:

Solve for b:
Answer:
32°
Step-by-step explanation:
Given:
∠DMQ = 58º
In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°
Therefore, ∠MDQ = 90°
The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:
180 = ∠DMQ + ∠MDQ + ∠DQM
Solving for ∠DQM, we have:
∠DQM = 180 - ∠DMQ - ∠MDQ
∠DQM = 180 - 90 - 58
∠DQM = 32°
The measure of ∠DQM is 32°