Use synthetic division to find (5x + 31x + 32) = (x + 5).

Mathematics

1 answer:

LiRa [457]3 years ago

5 0

We move all terms to the left:
+31x+32)-((+5)=0
So your answer is 0

You might be interested in

My number has 8 tens the digit in the ones place is greater than the digit in ten place

Lerok [7]

98 is the answer.

The 8 is in the tens place and the number in the ones place is greater than the number in the tens place.

5 0

3 years ago

Find the exact area of the surface obtained by rotating the curve about the x-axis.

padilas [110]

$\bf \begin{cases}
y=sin\left( \frac{\pi x}{6} \right)\\
0\le x\le 6\\
\textit{about the x-axis, or }y=0
\end{cases}\\\\
-----------------------------\\\\
\textit{using the disc method}
\\\\
V=\int\limits_{0}^{6}\pi \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx\implies \pi\int\limits_{0}^{6} \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx
\\\\\\
 \pi\int\limits_{0}^{6} sin^2\left( \frac{\pi x}{6} \right) \cdot dx\\\\
-----------------------------\\\\$

$\bf \textit{now, let us check the double angle identities}
\\\\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
\boxed{1-2sin^2(\theta)}\\
2cos^2(\theta)-1
\end{cases}
\\\\\\
thus\implies cos(2\theta)=1-2sin^2(\theta)\implies 2sin^2(\theta)=1-cos(2\theta)
\\\\\\
sin^2(\theta)=\cfrac{1-cos(2\theta)}{2}\qquad thus\\\\
-----------------------------$

$\bf \pi\int\limits_{0}^{6} \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx\implies 
\pi\int\limits_{0}^{6} \cfrac{1-cos\left(2\cdot \frac{\pi x}{6} \right)}{2}\cdot dx
\\\\\\
\pi\int\limits_{0}^{6}\cfrac{1}{2}dx-\pi \cdot \cfrac{1}{2}\pi\int\limits_{0}^{6}cos\left(\frac{\pi x}{3} \right)dx
\\\\\\
\left[\cfrac{\pi x}{2}-\cfrac{\pi }{2}\cdot \cfrac{sin\left(\frac{\pi x}{3} \right)}{\frac{\pi x}{3} } \right]\implies \left[ \cfrac{\pi }{2}x-\cfrac{3sin\left(\frac{\pi x}{3} \right)}{2x} \right]_0^6$

and surely, you'd know how to get the values for the bounds there

5 0

3 years ago

PLEASE HELP ME 50 POINTS! AND BRAINLIEST IF YOU ARE CORRECT!

Rina8888 [55]

Answer:

independent

dependent

Step-by-step explanation:

4 0

3 years ago

The number of 8th graders in choir is three times the number of the 7th graders. if there are 48 8th graders choir how.many 7th

stira [4]

Divide 48 by 3, for every three 8th graders, there is one 7th grader in choir
48÷3=16
There's 16 7th graders in choir !!

7 0

3 years ago

PLEASE HELP FAST!!! AND EXPLAIN YOUR WORK

fomenos

The drummers final position would be
-1, -2

8 0

3 years ago