Answer:
7. 
8. l=11cm and w=7 cm
9. 
10. 
Step-by-step explanation:
Question 7.
The given expression is:

Expand the parenthesis using the distributive property:

Group similar terms:

Simplify

Divide both sides by -10

Question 8:
Let the width of the rectangle be;
The length of the rectangle is 
The perimeter is given as: 
Given that the perimeter P=36, then:
![36=2[(w+4)+w)]](https://tex.z-dn.net/?f=36%3D2%5B%28w%2B4%29%2Bw%29%5D)

Divide both sides by 2:

Subtract 4 from both sides:



The dimensions of the rectangle is: w=7 cm and l=7+4=11cm
Question 9
Let the number be x.
"5 fewer than the number" is written as 
"5 fewer than a number is at least 12" becomes

Question 10:
Let the number be x.
The quotient of a number and 3 is written as:

The quotient of a number and 3 is no more than 15 is written as;

I did this on a calcalator 3÷5=0.6
Answer:
x= 4+5i
Step-by-step explanation:
The equation of the polar curve
is an even cosine function.
<h3>Polar curves</h3>
In geometry, polar curves are curves that are represented by the polar coordinates such that they are drawn around a fixed point
The equation of the polar curve is given as:

To graph the polar curve, we make use of the following representations:
- r represents the y-axis
represents the x-axis
Using the above representation, we can graph the polar curve
See attachment for the graph that represents 
Read more about polar curves at:
brainly.com/question/4618020
Answer:
slope = - 
Step-by-step explanation:
given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are
(4, 6 ) and (- 2, 8 )
calculate slope m using the slope formula
m = 
with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )
m =
=
= - 