First example:
Subtract the 8n on both sides to get the variable on one side of the equation. Do the same for the regular numbers. Then divide by -3.
This should be your final answer.
Second Example:
Do the same thing as explained in Example 1. Here's some work to help guide you.
That should be your final answer here.
Third Example:
Hope this helps and its understandable! Let me know if you still don't understand.
C= -1 because when you add 38 to the other side you are left with -75c=75 then divide by -75 and you are left with -1
Step-by-step explanation:
(1 + cos θ + sin θ) / (1 + cos θ − sin θ)
Multiply by the reciprocal:
(1 + cos θ + sin θ) / (1 + cos θ − sin θ) × (1 + cos θ + sin θ) / (1 + cos θ + sin θ)
(1 + cos θ + sin θ)² / [ (1 + cos θ − sin θ) (1 + cos θ + sin θ) ]
(1 + cos θ + sin θ)² / [ (1 + cos θ)² − sin² θ) ]
Distribute and simplify:
(1 + cos θ + sin θ)² / (1 + 2 cos θ + cos² θ − sin² θ)
[ 1 + 2 (cos θ + sin θ) + (cos θ + sin θ)² ] / (1 + 2 cos θ + cos² θ − sin² θ)
(1 + 2 cos θ + 2 sin θ + cos² θ + 2 sin θ cos θ + sin² θ) / (1 + 2 cos θ + cos² θ − sin² θ)
Use Pythagorean identity:
(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (sin² θ + cos² θ + 2 cos θ + cos² θ − sin² θ)
(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (2 cos² θ + 2 cos θ)
(1 + cos θ + sin θ + sin θ cos θ) / (cos² θ + cos θ)
Factor:
(1 + cos θ + sin θ (1 + cos θ)) / (cos θ (1 + cos θ))
(1 + cos θ)(1 + sin θ) / (cos θ (1 + cos θ))
(1 + sin θ) / cos θ
Answer:
length is 20 and the width is 5
Step-by-step explanation:
so Area is 100
Area = width * length
legth = 4 * width
This means:
Area = width * 4 width => Area = 5 * width
We know that area is 100 so:
100 = 5 * width
that means width = 20, but wait didn't I say that the length is 20? Yes, remember we said length = 4 * width at the beginning, so <u>length = 20</u>.
Now we can easily calculate width as width is 4 times smaller than length, so:
<u>width = 20/4 => 5</u>
We can also test if this is correct by simply using the formula to calculate rectangle. So 5 * 20 = 100, correct!
Solving 4=2x is using the division property because in order to get the last portion of that answer u have to divide both sides by 2x to get x by itself
For example
4=2x to get x by itself you have to divide both sides by 2x
And your final answer would be
x is equal to 2 (x=2)
