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3 years ago

6

Write an equation in slope intercept form for the line that satisfies each set of conditions. Has y intercept -2 , parallel to t

he line that y=2x+4

1 answer:

Gwar [14]3 years ago

3 0

Y = 2x - 2

is the parallel line has a slip of 2 then your line has a slip of 2.

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The quotient of two and five times a number

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Answer: 2 / 5x
Explanation:

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3 years ago

16. Let W be the set of all vectors in R3 of the form a+2b b -3a Find a basis for Wand state the dimension of W.

Yuki888 [10]

Answer:

$W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}$

Observe that if the vector $x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ is in W then it satisfies:

$\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]$

This means that each vector in W can be expressed as a linear combination of the vectors $\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]$

Also we can see that those vectors are linear independent. Then the set

$\{\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]\}$ is a basis for W and the dimension of W is 2.

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9514 1404 393

Answer:

65

Step-by-step explanation:

The problem statement tells you ...

1.20x = 78

Dividing by the coefficient of x gives its value:

x = 78/1.20

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