
Let's solve this inequality!

What can we do to solve this inequality? Well, first of all, we can add -7 and 35:

Now, move 20 to the right, using the opposite operation:

Subtract:

Divide both sides by -1 to isolate x:
(Answer)
_____________
<em>Additional comment</em>
When we divide both sides of an inequality by a negative number, we flip the inequality sign.
____________
I hope you find it helpful.
Feel free to ask if you have any questions.

Answer:
A
Step-by-step explanation:
Corresponding angles are angles that you can follow down the transversal and they will land in the same spot on the other parallel line. Look at angle 8. It is the bottom left angle in the group of 4 angles around it. If you slide it to the left it would land right on top of angle 4 which is also in the bottom left of its group of 4 angles.
You can do the same thing taking angle 8 down to angle 12.
Hello again! So we will be using the pythagorean theorem (

) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

Solve the exponents to get

Subtract 289 on each side to get

Lastly, square root each side of the equation and your answer should be

(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract

from 31. And since there are 2 triangles, you'll need to multiply

by 2.
In short, x = 14.0
Answer:
2.Matrices and Linear Algebra. 2.1 Basics. Definition 2.1.1. A matrix is an m × n array ... aij = 0 i = j. (1b) A diagonal matrix A may be denoted by diag(d1,d2,... ,dn) ... space of A. With r1 (A),...,rm (A) denoting the rows of A the row space
4.Introduces reflections in the x- and y-axes. Demonstrates the ... This leaves us with the transformation for doing a reflection in the y-axis. For this transformation, I'll switch ... Many textbooks don't get any further than this. If these are all the rules ...
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1)
we know that
The equation of the line in slope intercept form is equal to

we have

Isolate the variable y
subtract 2x both sides

Divide by B both sides

Part 2)
we know that
The equation of the line in slope intercept form is equal to

we have

Isolate the variable y
subtract 2x both sides

Divide by 8 both sides

Simplify
