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3 years ago

Write an equation of a line that passes through (3,0) and is parallel to line y=2x+5

Mathematics

1 answer:

weeeeeb [17]3 years ago

4 0

Answer:

y = 2x - 6

Step-by-step explanation:

(3,0)

y = 2x + 5

m = 2

y - y₁ = m(x - x₁)

y - (0) = (2)(x - (3))

y = 2(x - 3)

y = 2x - 6

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3 years ago

Kamal wrote the augmented matrix below to represent a system of equations

ra1l [238]

Consider the operation is $R_2\to -3R_2$ .

Given:

The augmented matrix below represents a system of equations.

$\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]$

To find:

Matrix results from the operation $R_2\to -3R_2$ .

Step-by-step explanation:

We have,

$\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]$

After applying $R_2\to -3R_2$ , we get

$\left[\left.\begin{matrix}1&0&1\\-3(1)&-3(3)&-3(-1)\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-3(-9)\\-2\end{matrix}\right]$

$\left[\left.\begin{matrix}1&0&1\\-3&-9&3\\3&2&0\end{matrix}\right|\begin{matrix}-1\\27\\-2\end{matrix}\right]$

Therefore, the correct option is A.

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3 years ago

Which values are in the solution set of 111 = z^2 + 11 if the replacement set is {10, 12, 14, 16, 18}?

pantera1 [17]

Answer:

Step-by-step explanation:

Z ^2+11=111

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Z=10

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2 years ago