Answer:
a. x = 7.07 b. x = 10
Step-by-step explanation:
a is a 45-45-90 pythagorean triple and b is a 30-60-90 pythagorean triple
Answer:

Step-by-step explanation:
<em>The question is illustrated with the attached figure.</em>
Required
Determine XY
To solve for XY, we make use of the tan function, which states that:

In this case:

Substitute 4 for YZ

Make XY the subject


So, the expression becomes:

Rationalize:


Answer:
Step-by-step explanation:
The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.
-46 - 8x > 22
-8x > 22 + 46
-8x > 68
x < 68/-8 (we divided by -8 so the inequality changed direction)
x < -17/2
-88 = 2 + 2(5m - 5)
Distribute 2 inside the parentheses.
-88 = 2 + 10m - 10
Combine like terms on the right side.
-88 = -8 + 10m
Add 8 to both sides.
-80 = 10m
Divide both sides by 10.

9x-3xy
Factor out 3x from both terms.
3x(3-y)
answer: 3x(3-y)