Answer:
(x-8)(x+3)
Step-by-step explanation:
1) Find out what are the factors of the constant?
2) Which of those add to equal the coefficient before the x value?
In this particular equation, we have the constant being 24. The first two factors that come to mind are 6 and 4, and 8 and 3. Since it is -24, we need one of these numbers to be negative.
Let's look at our "b" value, or the coefficient behind the x value, 5. Looking at our factors and thinking of addition (since one of them must be negative, it will most likely be subtraction instead of addition) I can see that
8+ −3=5
which is one of the factors of -24.
This means that we can factor our equation using these numbers, getting us the following:
(x−3)(x+8)
Hope this helped!
I hope this isn't too late! You can find the answer to this by first finding the area of the circle, A=πr². So since the radius is 10, we input that into the equation to get π100. Now, there is 360° in a circle and a sector of 90° is 1/4 of it. So to answer the question all you have to do is find 1/4 of the area of the circle.
The answer is π25.
To solve the other questions on your assignment just think about how much the sector is of the full 360° of the circle, for example 180° is 1/2 of the circle or 270° is 3/4 of the circle, and multiply the fraction by the area of the circle.
Hope this helped, good luck! :)
Answer:
-4
Step-by-step explanation:
Two legs of the triangle are congruent as shown by the tick marks. This means that this is an isosceles triangle; in an isosceles triangle, the two base angles are also congruent. Which means <A and <B are congruent.
So to solve for x, set 28 and 10x+68 equal to each other.
28=10x+68
First, subtract 68 from both sides
-40=10x
Then, divide both sides by 10
-4=x
If you want to check your answer plug -4 back into the original equation.
28=10(-4)+68
28=-40+68
28=28, which is true, therefore -4 is correct.
Answer:
Part E.
Wendell’s dog, Jordan, was getting in his way as he worked in the backyard. So, Wendell chained him to a pole. If the chain is 12 feet long, about how much area does Jordan have to walk around?
Step-by-step explanation:
