Let's do this by Briot-Ruffini
First: Find the monomial root
x - 2 = 0
x = 2
Second: Allign this root with all the other coeficients from equation
Equation = -3x³ - 2x² - x - 2
Coeficients = -3, -2, -1, -2
2 | -3 -2 -1 -2
Copy the first coeficient
2 | -3 -2 -1 -2
-3
Multiply him by the root and sum with the next coeficient
2.(-3) = -6
-6 + (-2) = -8
2 | -3 -2 -1 -2
-3 -8
Do the same
2.(-8) = -16
-16 + (-1) = -17
2 | -3 -2 -1 -2
-3 -8 -17
The same,
2.(-17) = -34
-34 + (-2) = -36
2 | -3 -2 -1 -2
-3 -8 -17 -36
Now you just need to put the "x" after all these numbers with one exponent less, see
2 | -3x³ - 2x² - 1x - 2
-3x² - 8x - 17 -36
You may be asking what exponent -36 should be, and I say:
None or the monomial. He's like the rest of this division, so you can say:
(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:
(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)
Just divide the rest by the monomial.
Answer:
3(15+12)
Step-by-step explanation:
3(5+4)
3( 5 x 3 =15 and 4 x 3= 12)
tried to do it on text but It was pretty hard
Answer:
![V_s=85\ cm^3](https://tex.z-dn.net/?f=V_s%3D85%5C%20cm%5E3)
Step-by-step explanation:
Let
be the volumes of the smaller and bigger cylinder.
The formula for the volume of a cylinder is given by :
![V=\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%20h)
As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.
![\dfrac{V_s}{V_b}=(\dfrac{h_s}{h_b})^3\\\\\dfrac{V_s}{V_b}=(\dfrac{3}{5})^3\\\\\dfrac{V_s}{V_b}=0.216\\\\V_s=393\times 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3](https://tex.z-dn.net/?f=%5Cdfrac%7BV_s%7D%7BV_b%7D%3D%28%5Cdfrac%7Bh_s%7D%7Bh_b%7D%29%5E3%5C%5C%5C%5C%5Cdfrac%7BV_s%7D%7BV_b%7D%3D%28%5Cdfrac%7B3%7D%7B5%7D%29%5E3%5C%5C%5C%5C%5Cdfrac%7BV_s%7D%7BV_b%7D%3D0.216%5C%5C%5C%5CV_s%3D393%5Ctimes%200.216%5C%5C%5C%5CV_s%3D84.8%5C%5C%5C%5Cor%5C%5C%5C%5CV%3D85%5C%20cm%5E3)
So, the volume of the smaller cylinder is equal to
.