Answer:
6x^2-3x
Step-by-step explanation:
![3x(2x-1)= \\\\3x(2x)-3x(1)= \\\\6x^2-3x](https://tex.z-dn.net/?f=3x%282x-1%29%3D%20%5C%5C%5C%5C3x%282x%29-3x%281%29%3D%20%5C%5C%5C%5C6x%5E2-3x)
Hope this helps!
Answer:
P(2 quarters) = 19/ (13*16) = 19/208 = 0.0913
Step-by-step explanation:
probability of getting 2 quarters?
ok
first draw: there are 20 quarters to choose from
second draw: there are 19 quarters left to choose
so Total coins are 65 coins
P(2 quarters) = P( 1st quarter)* P(2nd quarter)
P(2 quarters) = 20/65 * (19/64)
P(2 quarters) = 4/13 * 19/64
P(2 quarters) = 19/ (13*16) = 19/208
Step-by-step explanation:
Equation of given line is:
![y = - \frac{1}{2} x + 5 \\ \\ equating \: it \: with \: y =m_1x + c \\ we \: find \: \\ m_1 = - \frac{1}{2} \\ let \: m_2 \: be \: the \: slope \: of \: required \: line \\ \\ \therefore \: m_1 \times m_2 = - 1( \because \: lines \: are \: \perp) \\ \\ \therefore \: - \frac{1}{2} \times m_2 = - 1\\ \\ \therefore \: m_2 = 2 \\](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%205%20%5C%5C%20%20%5C%5C%20equating%20%5C%3A%20it%20%5C%3A%20with%20%5C%3A%20y%20%3Dm_1x%20%2B%20c%20%20%5C%5C%20we%20%5C%3A%20find%20%5C%3A%20%20%5C%5C%20m_1%20%3D%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%20let%20%5C%3A%20m_2%20%5C%3A%20be%20%5C%3A%20the%20%5C%3A%20slope%20%5C%3A%20of%20%5C%3A%20required%20%5C%3A%20line%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20m_1%20%5Ctimes%20m_2%20%3D%20%20-%201%28%20%5Cbecause%20%5C%3A%20lines%20%5C%3A%20are%20%5C%3A%20%20%5Cperp%29%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20m_2%20%3D%20%20-%201%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20m_2%20%3D%202%20%5C%5C%20)
Thus, the slope of required line is 2.
Answer:
dilation is an enlargment and the scale factor is 2
Step-by-step explanation: