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3 years ago

10

suppose a triangle has two sides lengths of 32 and 35 and that angle bewteen these two sides is 120. What is the side length of

the third side

1 answer:

kkurt [141]3 years ago

5 0

Answer:

240

Step-by-step explanation:

360 - 120 = 240

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To create a graph from an equation, evaluate the function at different ______. Use the input-output pairs to identify and plot _

Vikki [24]

Answer:

do you have a picture?

Step-by-step explanation:

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3 years ago

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

For the given function, find the vertical and horizontal asymptote(s) (if there are any).

Doss [256]

There are three rules of finding the horizontal asymptote depending on the orders of the numerator and denominator. If the degrees are equal for the numerator and the denominator, then the horizontal asymptote is equal to y = the ratio of the coefficients of the highest order from the numerator and the denominator. If the degree in the numerator is less than the degree in the denominator, then there the x axis is the horizontal asymptote. If on the other hand, the order in the numerator is greater than that of the denominator, then there is no horizontal asymptote.

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3 years ago

The table of values represents an exponential function f(x).

Ostrovityanka [42]

Answer:

-3.98 (nearest hundredth)

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

$\dfrac{f(b)-f(a)}{b-a}$

Given interval: -2 ≤ x ≤ 2

$\implies a = -2$

$\implies b = 2$

$\implies f(a) = f(-2)=16$

$\implies f(b) =f(2)= \dfrac{1}{16}$

Substituting the values into the equation:

$\begin{aligned}\implies \textsf{rate of change} & =\dfrac{\frac{1}{16}-16}{2-(-2)}\\\\ & = \dfrac{-\frac{255}{16}}{4}\\\\ & = -\dfrac{255}{64}\\\\ & = -3.98\: \sf (nearest\:hundredth)\end{aligned}$

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2 years ago

Factor the expression completely.<br> x^4y^4 – x^3y

enyata [817]

Answer:

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