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2 years ago

6

Find x to the nearest tenth. (soh cah toa)

1 answer:

leva [86]2 years ago

4 0

Answer:

I think it would also be 8.3. The lines look the same length. am i wrong? correct me if i am

Step-by-step explanation:

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Find the following equation

adoni [48]

Answer:

$y=\frac{-1}{2}x+7$

Step-by-step explanation:

Slope intercept form: $y=mx+b$ when $m$ is the slope of the line and $b$ is the y-intercept (the y-coordinate of the point the line crosses the y-axis)

<u>1) Find the slope (</u> $m$ <u>)</u>

$m=\frac{y_2-y_1}{x_2-x_1}$ when the points are $(x_1,y_1)$ and $(x_2,y_2)$

We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

$m=\frac{0-7}{14-0}\\m=\frac{-7}{14}$

Simplify the fraction

$m=\frac{-1}{2}$

So far, our equation looks like this:

$y=\frac{-1}{2}x+b$

<u>2) Find the y-intercept (</u> $b$ <u>)</u>

The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.

Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, $b=7$ .

Now, this is our final equation after plugging in $m$ and $b$ :

$y=\frac{-1}{2}x+7$

I hope this helps!

3 0

2 years ago

Sharon wants to know the difference between the average amount she stacked and the average amount Diane stacked. Which operation

jek_recluse [69]

Sharon would subtract the amount that she stacked from Diane to figure out the difference.

Hope this helped :D

3 0

2 years ago

Simplify. - 4 (3 -1) + 2

vlabodo [156]

-4(2)+2
-8+2
-6
Hope it helps

3 0

3 years ago

Read 2 more answers

Round 13.9 to the nearest whole number

Rudik [331]

14
You are very welcome

3 0

3 years ago

Read 2 more answers

Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

$z = x + yi$

is given by:

$z = r( \cos( \theta) + i \sin( \theta) )$

where

$r = \sqrt{ {x}^{2} + {y}^{2} }$

The given complex number is:

$z = 4 - 10i$

$r = \sqrt{ {4}^{2} + {( - 10)}^{2} }$

$r = \sqrt{16 + 100}$

$r = \sqrt{116} = 2 \sqrt{29}$

And

$\theta= \tan^{ - 1}(\frac{ y}{x} )$

$\theta= \tan^{ - 1}(\frac{ - 10}{4} )$

$\theta= 292 \degree$

Hence the polar form is :

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

6 0

2 years ago