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3 years ago

Y=-2x+6 3y-x+3=0 Solving systems using substitution

Mathematics

1 answer:

Murljashka [212]3 years ago

5 0

You can "plug in" the value for y from the top eq in the bottom one:

3(-2x+6) - x + 3 = 0

Simplify:

-6x + 18 - x + 3 = 0

-7x + 21 = 0

-7x = -21

x = 3

y = -2*3+6 = 0

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HELP!!!!!!!!! ILL GIVE YOU BRAINLIEst!!!

Lena [83]

Answer:

it is true.

Step-by-step explanation:

the proportions 4:6 and 10:15 can both be simplified into 2/3.

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2 years ago

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Help plzz I need the length of "b" and the answers and the steps to find that answer??? Plz help don't have a lot of time to sub

nadezda [96]

Answer:

Use pythagorean theorem.

Step-by-step explanation:

The length of the shorter sides are 1 & 4

1^2+4^2=c^2

1+16=c^2

17=c^2

So, the length, rounded to the nearest whole inch, would be 4.

To find the perimeter, you need to find the side lengths first.

The short sides are 6 & 7.

6^2+7^2=c^2

36+49=c^2

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So the length for that would be 8, in the nearest whole number.

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2 years ago

Compare the properties of each function. Please help I will give brainliest.

prisoha [69]

9514 1404 393

Answer:

both are linear functions with a y-intercept of 3 and domain of all real numbers
f(x) has positive slope, so a range of all real numbers
g(x) has zero slope, so a range of only the value 3

Step-by-step explanation:

Both functions are shown in the attached graph. Both are linear functions with a y-intercept of 3. Both have a domain of all real numbers.

Function A has a positive slope, so has a range of all real numbers.

Function B has a zero slope, so its range is the single number y = 3.

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3 years ago

If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and

Scilla [17]

Take the cross product, then normalize the result.

$\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k$

This has norm

$\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2$

and so a unit vector orthogonal to both given vectors is

$\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k$

An equally correct answer would be the negative of this vector, since $\mathbf b\times\mathbf a=-\mathbf a\times\mathbf b$ .

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3 years ago

Determine the slope of the line that has the following coordinates: (-3,6) (4,-2)

AveGali [126]

-8/7 is the correct answer.

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3 years ago