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Crazy boy [7]
3 years ago
10

Write an equation that is parallel to y = 3x and passes through (-4 , -3)

Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0
The slopes of two parallel lines must be identical.

We have slope m=3, so the slope for the parallel line be the same.

Now, to find an equation that also passes through the given point, we use slope-point form, y-y_1=m(x-x_1), where our point (-4,-3) is substituted for (x_1,y_1).

y+3=3(x+4)

Now, we convert to slope-intercept form as such.

y=3x+12-3\\y=3x+9

And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.

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The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate
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The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}

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

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})

Putting values, we get,

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5 0
3 years ago
The graph below is based on data collected from a sixth grade class.
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c) My favourite subject is <u>Maths</u>.

d) My classes start at <u>12 noon.</u>

<h2>So ,</h2>

The question can be :

<h3>What is the class schedule, number of students and subjects in Grade 6? </h3>
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3 years ago
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