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1 year ago

line jk passes through points j(–4, –5) and k(–6, 3). if the equation of the line is written in slope-intercept form, y

Mathematics

1 answer:

likoan [24]1 year ago

4 0

The y - intercept of the line is -21 .

Slope - inercept form of equation of line :

y = m x + c

where m is the slope and c is the y - intercept of the line .

Writing equation in slope - intercept form :

( - 5 - 3 ) / ( - 4 + 6 ) = ( y - 3 ) /( x + 6 )

( -8 ) / ( 2 ) = ( y - 3 ) /( x + 6 )

- 4 ( x + 6 ) = y - 3

- 4 x - 24 = y - 3

y = - 4 x - 21

Hence , the y - intercept of the line is -21 .

To learn more on equation of line follow link :

brainly.com/question/19417700

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Answer:

72 m\ p.h.

Step-by-step explanation:

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Imelda rode her bicycle 39 kilometers. If 1 meter = 1.094 yards, find the distance Imelda rode her bicycle to the nearest mile.

Alborosie

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Step-by-step explanation:

We should note that 1000 metres = 1 kilometer.

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2 years ago

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3 years ago

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The radius r(t)r(t)r, (, t, )of the base of a cylinder is increasing at a rate of 111 meter per hour and the height h(t)h(t)h, (

sp2606 [1]

Answer:

The volume is decreasing at a rate 20π cubic meter per hour.

Step-by-step explanation:

We are given the following in the question:

The radius is increasing at a rate 1 meter per hour.

$\dfrac{dr}{dt} = 1\text{ meter per hour}$

The height is decreasing at a rate 4 meter per hour

$\dfrac{dh}{dt} = -4\text{ meter per hour}$

At an instant time t,

r = 5 meter

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Volume of cylinder =

$\pi r^2 h$

where r is the radius and h is the height of the cylinder.

Rate of change of volume is given by:

$\dfrac{dV}{dt} = \dfrac{d(\pi r^2 h)}{dt}\\\\\dfrac{dV}{dt} = 2\pi rh\dfrac{dr}{dt} + \pi r^2\dfrac{dh}{dt}$

Putting all the values we get,

$\dfrac{dV}{dt} = 2\pi (5)(8)(1) + \pi (5)^2(-4)\\\\\dfrac{dV}{dt} = 80\pi - 100\pi = -20\pi \approx -62.8$

Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.

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