Answer:
C) infinitely many solutions
Step-by-step explanation:
y= 3x-4
-3y= -9x +12
-3(3x-4 ) = -9x +12
-9x + 12 = -9x + 12
C) infinitely many solutions
<u>Parallel lines</u> are lines that do not intersect. They go only in one direction
Hope it helps:)
Step-by-step explanation:
![\dfrac{-3}{(x+2)(x-5)}\qquad\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=\dfrac{-3}{(x)(x)+(x)(-5)+(2)(x)+(2)(-5)}\\\\=\dfrac{-3}{x^2-5x+2x-10}\qquad\text{combine like terms}\\\\=\dfrac{-3}{x^2-3x-10}](https://tex.z-dn.net/?f=%5Cdfrac%7B-3%7D%7B%28x%2B2%29%28x-5%29%7D%5Cqquad%5Ctext%7Buse%20FOIL%3A%7D%5C%20%28a%2Bb%29%28c%2Bd%29%3Dac%2Bad%2Bbc%2Bbd%5C%5C%5C%5C%3D%5Cdfrac%7B-3%7D%7B%28x%29%28x%29%2B%28x%29%28-5%29%2B%282%29%28x%29%2B%282%29%28-5%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-3%7D%7Bx%5E2-5x%2B2x-10%7D%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-3%7D%7Bx%5E2-3x-10%7D)
![\dfrac{64x-8x^2}{10x-80}=\dfrac{-8x(x-8)}{10(x-8)}\qquad\text{cancel}\ (x-18)\\\\=\dfrac{-8x}{10}=-\dfrac{8x:2}{10:2}=-\dfrac{4}{5}x](https://tex.z-dn.net/?f=%5Cdfrac%7B64x-8x%5E2%7D%7B10x-80%7D%3D%5Cdfrac%7B-8x%28x-8%29%7D%7B10%28x-8%29%7D%5Cqquad%5Ctext%7Bcancel%7D%5C%20%28x-18%29%5C%5C%5C%5C%3D%5Cdfrac%7B-8x%7D%7B10%7D%3D-%5Cdfrac%7B8x%3A2%7D%7B10%3A2%7D%3D-%5Cdfrac%7B4%7D%7B5%7Dx)
Answer:
V =192 pi or approximately 602.88 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
We need to determine the radius
r = d/2 = 8/2 =4
V = pi (4)^2 *12
V = pi *16*12
V =192 pi
We can approximate pi by 3.14
V = 192* 3.14
V =602.88 cm^3