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3 years ago

6

Write an equation in point-slope form of the line that passes through the given point and with the given slope m.

1 answer:

Vinvika [58]3 years ago

8 0

$\text{the point:}\ (x_0,\ y_0)\\\\\text{the slope:}\ m\\\\\text{The equation of a line in point-slope form:}\\\\y-y_0=m(x-x_0)$

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A clock has a diameter of 16 inches. how far does the hour hand travel during 5 hours? use 3.14 for pi.

valentina_108 [34]

Distance hour hand travel in 5 hours is 20.94 inches.

<h3>What is a diameter?</h3>

A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle in geometry.
It is also known as the circle's longest chord.
Both definitions apply to the diameter of a sphere.

To find the distance hour hand travel in 5 hours:

Let's say the hour hand completed one full round around the clock.
If this was the case, it would have been 2 $\pi$ ×8 inches around.
We know that the hour hand only traveled 5 hours around the clock rather than 12, thus our formula is 2 $\pi$ ×8×( 5/12 ).

Distance hour hand travel is 20.94 inches.

Therefore, the distance hour hand travel in 5 hours is 20.94 inches.

Know more diameter here:

brainly.com/question/390660

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2 years ago

Find the size of angle X.

hodyreva [135]

Answer:

Because the sum of the interior angles of a triangle is 180,

X=180-(65+35)

X=180-100=80

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2 years ago

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svetoff [14.1K]

Answer:

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3 years ago

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sweet [91]

Answer: y= -x +4

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3 years ago

The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is:

jolli1 [7]

Answer:

Yes, F is a continuous function of r

Step-by-step explanation:

We are given that

When r<R

$F(r)=\frac{GMr}{R^3}$

$r\geq R$

$F(r)=\frac{GM}{r^2}$

Where M=Mass of the earth

R=Radius of earth

G=Gravitational constant

We have to find the function is continuous of r or not.

LHL

$\lim_{r\rightarrow R-}\frac{GMr}{R^3}=\frac{GMR}{R^3}=\frac{GM}{R^2}$

RHL

$\lim_{r\rightarrow R+}\frac{GM}{R^2}=\frac{GM}{R^2}$

$F(R)=\frac{GM}{R^2}$

When a function is continuous at x=a

Then, LHL=RHL=f(a)

RHL==LHL=F(R)

Hence, the function is continuous of r.

8 0

3 years ago