Hello! And thank you for your question!
First find the Greatest Common Factor:
GCD = 4
Then factor out the GCF:
4(4x^2 over 4 + -8x over 4 - 32 over 4)
Then simplify each term that is in parentheses:
-4(x^2 - 2x - 8)
Finally factor x^2 - 2x - 8:
-4(x - 4)(x + 2)
Final Answer:
-4(x - 4)(x + 2)
Answer:
D. cosine
Step-by-step explanation:
As it can be seen in the figure, the triangle ABC is a right-angled triangle with Angle C = 90 degree.
In a right angle triangle, there is a formula as following:
<em>cosine (of an acute angle) = length of adjacent side/ length of hypotenuse</em>
In the figure, the point of angle B and length of hypotenuse AB are given.
We have to calculate x - length of the given side. As BC is the adjacent side of angle B
=> we can use the above formula to calculate x
So that we can use cosine
Divide the amount he has to pay off with the 8 months. That is 200 divided by 8 which is 25. He has to pay 25 each month.
Answer:
Can you show a picture of the function on the graph and the other equations?
Step-by-step explanation:
the image is y=2x-5 graphed
<u>Given</u>:
The side length of a regular octagon is 11.7 cm
The apothem is 14.1 cm
We need to determine the area of the regular octagon.
<u>Perimeter of the regular octagon:</u>
The perimeter of the regular octagon is given by
Thus, the perimeter of the regular octagon is 93.6 cm
<u>Area of the regular octagon:</u>
The area of the regular octagon is given by
Substituting the values, we get;
Thus, the area of the regular octagon is 659.88 cm²