Answer:
Step-by-step explanation:
P(y) = y³ + 2y² + 2y + 1
P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1
= -1 + 2 - 2 + 1
= 0
As, P(-1) = 0, (y + 1) is a factor.
Use synthetic division or remainder theorem.
-1 1 2 2 1
<u> 0 -1 -1 -1 </u>
1 1 1 0
quotient = y² + y + 1
y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)
Answer:
Part 1) ![AB=30.9\ units](https://tex.z-dn.net/?f=AB%3D30.9%5C%20units)
Part 2) ![AC=29.9\ units](https://tex.z-dn.net/?f=AC%3D29.9%5C%20units)
Step-by-step explanation:
The picture of the question in the attached figure
Part 1
Find the length side AB
we know that
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values
![sin(15^o)=\frac{8}{AB}](https://tex.z-dn.net/?f=sin%2815%5Eo%29%3D%5Cfrac%7B8%7D%7BAB%7D)
solve for AB
![AB=\frac{8}{sin(15^o)}=30.9\ units](https://tex.z-dn.net/?f=AB%3D%5Cfrac%7B8%7D%7Bsin%2815%5Eo%29%7D%3D30.9%5C%20units)
Part 2
Find the length side AC
we know that
----> by TOA (opposite side divided by the adjacent side)
substitute the given values
![tan(15^o)=\frac{8}{AC}](https://tex.z-dn.net/?f=tan%2815%5Eo%29%3D%5Cfrac%7B8%7D%7BAC%7D)
solve for AC
![AC=\frac{8}{tan(15^o)}=29.9\ units](https://tex.z-dn.net/?f=AC%3D%5Cfrac%7B8%7D%7Btan%2815%5Eo%29%7D%3D29.9%5C%20units)
Base=x+7 Height=x Area=60. 60=((x+7)(x))/2----->60=(x^2+7x)/2
120=x^2+7x X^2+7X-120=0. QUDRATIC FORMULA: -7+/- SQRT(49+480)/2
(-7+/-23)/2... 8 and -15. -15 ISNT the answer because you cant have a negative length. X=8 Base=8+7---->15 Height=8
Answer: 14 7/8
Step-by-step
I put the 4 1/4 into an improper fraction then did keep change flip