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3 years ago

What is an equation in point-slope form of the line that passes through the point (4, -1) and has a slope of 6?

Mathematics

1 answer:

RSB [31]3 years ago

7 0

Answer:

slope(m)=change in y/change in x

6=y-(-1)/x-4

6=y+1/x-4

6(x-4)=y+1

6x-24=y+1

6x-24-1=y

6x-25=y

hence this is the equation

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F the sphere shown above has a radius of 5 units, then what is the approximate volume of the sphere?

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<h3>Given:</h3>

Radius= 5 units

The approximate volume of the given sphere.

<h3>Solution:</h3>

$\large\boxed{Formula:V= \frac{4}{3}\pi{r}^{3}}$

Let's substitute the values according to the formula.

Let's solve!

$V=\frac{4}{3}×\pi×{5}^{3}$

$V=523.59878 \: {units}^{3}$

Now, well have to round off to the nearest hundredth.

$\boxed{V=523.6 \: {units}^{3}}$

Hence, the volume of the given sphere is 523.6 cubic units.

Note: If your using π as π you'll get this answer.

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