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MakcuM [25]
1 year ago
12

What is the equation of the line that passes through the point (−6,−3) and has a slope of 0?

Mathematics
1 answer:
umka2103 [35]1 year ago
8 0

The equation of the line that passes through the point (-6,-3) and has a slope of 0 is y = -3

The line is passing through the point = (-6,-3)

The slope of the line = 0

The point slope form is

(y-y_1)=m(x-x_1)

Substitute the values in the equation

(y-(-3)) = 0×(x-(-6))

We have to convert this equation the slope intercept form

Slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

(y-(-3)) = 0×(x-(-6))

y+3 = 0×(x+6)

y+3 = 0

y = -3

Hence, the equation of the line that passes through the point (-6,-3) and has a slope of 0 is y = -3.

Learn more about slope intercept form here

brainly.com/question/9682526

#SPJ1

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. The di
kogti [31]

The rate at which the height of the pile is changing when the height is 2 ft. is 0.5659 ft./min. Computed using differentiation.

The sand is falling onto a conical pile, thus we get the pile in the shape of a cone, whose volume is given as:

<u>V = (1/3)πr²h</u>,

where V represents the volume of the cone, r represents its radius, and h represents its height.

In the question, we are given that the rate of piling is 16 ft.³/min, which implies that:

dV/dt = 16 ... (i)

We are also given that the diameter is three times the altitude (height), which can be shown as:

2r = 3h,

or, r  = (3/2)h.

Thus, the volume can now be shown as:

V = (1/3)π{(3/2)h}²h,

or, V = (3πh³)/4.

Differentiating this with respect to time, we get:

dV/dt = (3π/4)(3h²)dh/dt.

Now, we need to calculate the rate of change of height, when the height is  2 feet, thus we take h = 2

Using dV/dt = 16 from (i), we can write:

16 = (3π/4)(3(2)²)dh/dt.,

or, 16 = 9π(dh/dt),

or, dh/dt = 16/9π = 0.5659 ft./min.

Thus, the rate at which the height of the pile is changing when the height is 2 ft. is 0.5659 ft./min.

Learn more about differentiation at

brainly.com/question/13461339

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6 0
2 years ago
Will give Brainliest!!!
castortr0y [4]

Answer:

a

Step-by-step explanation:

if you plug 4 in for x it solves it

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3 years ago
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If value of a+b=7and ab=12then find the value of a and b
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a+b = 7

ab =12

we know that

a and b = ab – a+b

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= 5 ans

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What is the slope of the line y = 8?
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Answer:

the slope of the line y=8 is 0

Step-by-step explanation:

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In a toy factory 200 wooden soils cylinders 7 cm long and 35 mm in diameter have to be painted. What is the total surface area i
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