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3 years ago

What equation represents a line that passes through the points (5,-2) and (8,4)?

Mathematics

1 answer:

nirvana33 [79]3 years ago

7 0

Answer:

y=2x -12

STANDARD FORM: 2x-y= 12

Step-by-step explanation:

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2 years ago

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Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

$\text { Volume of a cylinder }=\pi r^{2} h$

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e

$\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}$

<em><u>Ratio for the volumes of two cylinders</u></em>

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}$

Cancelling the common terms, we get

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)$

Substituting we get,

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}$

Hence, the ratio of volume of two cylinders is 8 : 27

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2 years ago

Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face

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Answer:

a) $P($

b) $n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).$

Step-by-step explanation:

From the question we are told that:

3 coin are tossed

Therefore

Sample space $n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).$

Generally the sets that correspond with the result of at most one tail is therefore given as follows

$P($

Therefore

The result is at most one tail when

$P($

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2 years ago

What is the base of a rectangle with a height of 12.6 meters and an area of 28.98 square meters? Enter your answer in the box.

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