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lana66690 [7]
3 years ago
5

Can someone help me with 42 divided by 9

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

4.6 or if you rounded it would be 5

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slavikrds [6]
I belive it's 32. You have to raise 2 to the 5th power
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Find the distance between a point (– 2, 3 – 4) and its image on the plane x+y+z=3 measured parallel to a line
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Answer:

The distance is:  

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Step-by-step explanation:

We re-write the equation of the line in the format:

\displaystyle\frac{x+2}{3}=\frac{y+\frac{3}{2}}{2}=\frac{z+\frac{4}{3}}{\frac{5}{3}}

Notice we divided the fraction of y by 2/2, and the fraction of z by 3/3.

In that equation, the director vector of the line is built with the denominators of the equation of the line, thus:

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\displaystyle x+y+z=3\to -2+3t+3+2t-4+\frac{5}{3}t=3

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\displaystyle x=-2+3\left(\frac{9}{10}\right)=\frac{7}{10}\\\displaystyle y=3+2\left(\frac{9}{10}\right)=\frac{24}{5} \\\displaystyle z=-4+\frac{5}{3}\left(\frac{9}{10}\right)=-\frac{5}{2}

Then to find the distance we just use the distance formula:

\displaystyle d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}

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\displaystyle d=\sqrt{\left(-2-\frac{7}{10}\right)^2+\left(3-\frac{24}{5}\right)^2+\left(-4 +\frac{5}{2}\right)^2}=\frac{3\sqrt{142}}{10}

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y=180
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