3 years ago

I am confused on what I am supposed to do on this problem.

Mathematics

1 answer:

8_murik_8 [283]3 years ago

4 0

You can use Cosine rule to find c.

then you can use sine rule to find A and B.

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a. Find symmetric equations for the line that passes through the point (4, −4, 8) and is parallel to the vector −1, 4, −3b. Find

daser333 [38]

The line has equation

$\vec r(t)=(4,-4,8)+(-1,4,-3)t$

where $t$ is any real number. $(-1,4,-3)t$ is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.

To get the symmetric form, we have

$\begin{cases}x(t)=4-t\\y(t)=-4+4t\\z(t)=8-3t\end{cases}$

Solving for $t$ in each equation gives the symmetric form,

$t=\boxed{4-x=\dfrac{y+4}4=\dfrac{8-z}3}$

The line has intercepts in the coordinate planes wherever either the $x$ , $y$ , or $z$ coordinate is 0.

$xy$ -plane:

$z=0\implies\begin{cases}4-x=\frac83\\\frac{y+4}4=\frac83\end{cases}\implies\left(\dfrac43,\dfrac{20}3,0\right)$

$yz$ -plane:

$x=0\implies\begin{cases}\frac{y+4}4=4\\\frac{8-z}3=4\end{cases}\implies\left(0,12,-4\right)$

$xz$ -plane:

$y=0\implies\begin{cases}4-x=1\\\frac{8-z}3=1\end{cases}\implies\left(3,0,5\right)$

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3 years ago

20. The perimeter of a square is 72 in. What is its area? 72 in2 324 in2 18 in2 5,184 in2

tatuchka [14]

To find the length of each side 72/4
Each side is 18

So area is 18 times 18= 324

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3 years ago

Given that mAngleKLH = 120°, which statement about the figure must be true?

beks73 [17]

Answer:

the answer is

m∠HLI = m∠ILM

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3 years ago

Find the y value at the point x = -2.

Wewaii [24]

By looking at the graph, we can visually determine that the value of y when point x = -2 is <u>-4.</u>

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2 years ago

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Which expression shows: add 99 and 15, then multiply by 11?

Jobisdone [24]

The answer is(99+15)11

i hope this help

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3 years ago