Answer:
7. is 5 - 35n
8. is -6x - 24
9. is 15m - 30
10. is 24p - 28
11. is 5b - 5
12. 5x + 45
RULE:
WHEN MULTIPLYING TWO NEGATIVES YOU WILL GET POSITIVE.
IF ONE IS NEGATIVE AND THE OTHER IS POSITIVE WHEN MULTIPLYING IT WILL BE NEGATIVE.
WHEN MULTIPLYING TWO POSITIVE NUMBERS IT WILL ALWAYS BE POSITIVE
SAME THING IF YOU MULTIPLY A POSITIVE NUMBER WITH A NEGATIVE NUMBER YOU GET A NEGATIVE AS YOUR ANSWER
YOU NEED ONE SIGN OF THE SAME WHEN MULTIPLYING TO BE A POSITIVE AS YOUR ANSWER
YOU NEED ONE SIGN TO BE DIFFERENT FROM THE OTHER WHEN MULTIPLYING TO GET A NEGATIVE AS YOUR ANSWER
Answer:

Step-by-step explanation:
The relevant rule of exponents is ...
(a^b·c^d)^e = a^(be)·c^(de)
Then ...
(m^(5/4)·n^(-4/5))^(7/3) = m^(5/4·7/3)·n^(-4/5·7/3)
= m^(35/12)·n^(-28/15)
__
Since you want positive rational exponents, you can write this as ...
= m^(35/12)/n^(28/15)
<h3>
Answer:</h3>
y=1/2x
<h3>
Solution:</h3>
- The slopes of perpendicular lines are opposite reciprocals of each other.
- The simplest way to determine a number's reciprocal is to flip it over, like so:

- Now, change the sign:

- So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
- Now, let's find the line's equation.
- First, let's write it in Point-Slope Form:
- y-y1=m(x-x1)
- y-(-2)=1/2(x-4)
- y+2=1/2x-2 (Point slope)
- Now, convert to slope-intercept:
- y=1/2x+2-2
- y=1/2x
Hope it helps.
Do comment if you have any query.
Answer:
c = 50
Step-by-step explanation:
We can set up an equation using the vertical angles theorem.
97 = 2c-3
100 = 2c
c = 50