Answer:
<h2>(2x - 3y)(4x - y) = 8x² - 14xy + 3y²</h2>
Step-by-step explanation:
Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>
(2x - 3y)(4x - y) = (2x)(4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)
= 8x² - 2xy - 12xy + 3y²
<em>combine like terms</em>
= 8x² + (-2xy - 12xy) + 3y² = 8x² - 14xy + 3y²
Sus subsistíais ve. D s s d d s d f
The triangle shown is a right triangle shown by the little square inside of it.
Area of a triangle is 1/2 x height x base
Rotating the shown triangle so the square is at a bottom corner the height is 6 and the base is 6
Area = 1/2 x 6 x 6 = 18 square cm
Answer:
- r = √(3V/(πh))
- r ≈ 1.78 cm
Step-by-step explanation:
Multiply by the inverse of the coefficient of r², then take the square root.
![V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{\pi h}{3}r^2\\\\r^2=\dfrac{3V}{\pi h}\\\\\boxed{r=\sqrt{\dfrac{3V}{\pi h}}}](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h%5C%5C%5C%5CV%3D%5Cdfrac%7B%5Cpi%20h%7D%7B3%7Dr%5E2%5C%5C%5C%5Cr%5E2%3D%5Cdfrac%7B3V%7D%7B%5Cpi%20h%7D%5C%5C%5C%5C%5Cboxed%7Br%3D%5Csqrt%7B%5Cdfrac%7B3V%7D%7B%5Cpi%20h%7D%7D%7D)
For V=50, h=15, this is ...
![{r=\sqrt{\dfrac{3(50)}{\pi(15)}}=\sqrt{\dfrac{10}{\pi}}\approx\boxed{1.78\quad\text{cm}}](https://tex.z-dn.net/?f=%7Br%3D%5Csqrt%7B%5Cdfrac%7B3%2850%29%7D%7B%5Cpi%2815%29%7D%7D%3D%5Csqrt%7B%5Cdfrac%7B10%7D%7B%5Cpi%7D%7D%5Capprox%5Cboxed%7B1.78%5Cquad%5Ctext%7Bcm%7D%7D)
ANSWER: 61.9488
I think this is the right answer. I hope this helps