Answer:
x = -15 and x = 1
Step-by-step explanation:
Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form 
.
This results in 
.
Next, we <u>simplify the equation</u> to get 
.
<u>Factoring </u>the left side gives us 
.
Finally we <u>solve the equations</u>: 
and 
.
This gives us x=1, and x=-15
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! :)
1) 400+40+3
2) 90+2
3) 100+1
Answer:
Since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.
Step-by-step explanation:
Since Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric, and the footrest is 14 inches by 11 inches by 13 inches while she has 1 square yard of fabric, to determine if she can she completly cover the footrest the following calculation must be performed:
1 square yard = 1296 square inches
14 x 11 x 13 = X
154 x 13 = X
2.002 = X
2.002 / 1.296 = 1.54
Thus, since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.
To solve this problem you must apply the proccedure shown below:
1. You have the following expression:
<span>(5s/s^2-10s+25) - (25/s^2-10s+25)
2. As you can see, they have the same denominator, therefore, you can rewrite it as below:
(5s-25)/</span> (25/s^2-10s+25)
3. When you factor ir, you obtain:
5(s-25)/(s-5)(s-5)
3. Simplifying:
5/(s-5)
