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Aleonysh [2.5K]

3 years ago

7

Find the slope of the line through each pair of points. (-2, -12) and (-18, -12)

1 answer:

Jobisdone [24]3 years ago

4 0

Answer:

0/16

Step-by-step explanation:

you use the equation y2-y1/x2-x1 so -12-(-12) which is 0 then do -18-(-2)=-16 so the slope is 0/-16

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How to find lateral surface area of a cylinder with with demotions of h=12 and r=2

nordsb [41]

It's 150.8
If you ever need to find that, type into google "surface area of ____"

3 0

3 years ago

You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$

$-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0$

$\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}$

squaring both sides; we get

$\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}$

$\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}$

By cross multiplying; we get

$49x^2 = 25(54^2+x^2)$

$49x^2 = 25 \times 54^2+ 25x^2$

$49x^2-25x^2 = 25 \times 54^2$

$24x^2 = 25 \times 54^2$

$x^2 = \dfrac{25 \times 54^2}{24}$

$x =\sqrt{ \dfrac{25 \times 54^2}{24}}$

$x =\dfrac{5 \times 54}{\sqrt{24}}$

$x =\dfrac{270}{\sqrt{4 \times 6}}$

$x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}$

$x =\dfrac{45 \sqrt{6}}{ 2}$

8 0

3 years ago

Please help I’ll give you brainiest :)

juin [17]

Answer:

i think its b

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is the percent of 3/4

Dennis_Churaev [7]

Answer:

75%

Step-by-step explanation:

8 0

3 years ago

The equation c = start fraction: numerator: 5 denominator: 9: end fraction (f – 32) is used to convert temperature from degrees

krek1111 [17]

It will increase by 5/9 of a degree.

If you convert the given equation into slope intercept form, you will have:

c = (5/9)f + 160/9

In this form, it is easier to see the slope. The line would be increase by a rate of 5/9.

3 0

3 years ago