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PilotLPTM [1.2K]
3 years ago
15

What is an equation in point-slope form of the line shown below?

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
7 0

Answer:

Answer:

Hence,  is the required equation of line.

Step-by-step explanation:

A line is passing through the coordinates (-4,1) and (4,-3).

The equation of the line passing through () and () is given by:

Here we have:    and

so on substituting in the formula we have:

Hence,  is the required equation of line.

Step-by-step explanation:

jeka943 years ago
4 0

Answer:

Hence, y-1=\dfrac{-1}{2}(x+4) is the required equation of line.

Step-by-step explanation:

A line is passing through the coordinates (-4,1) and (4,-3).

The equation of the line passing through (x_1,y_1) and (x_2,y_2) is given by:

y-y_1=\dfrac{y_2-y_1}{x_2-x_!}(x-x_1)

Here we have:   (x_1,y_1)=(-4,1) and (x_2,y_2)=(4,-3)

so on substituting in the formula we have:

y-1=\dfrac{-3-1}{4-(-4)}(x-(-4))\\ \\y-1=\dfrac{-4}{8}(x+4)\\\\y-1=\dfrac{-1}{2}(x+4)

Hence, y-1=\dfrac{-1}{2}(x+4) is the required equation of line.


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Using the following diagram below, please answer the following:
Colt1911 [192]
The radius of the circle is 15 cm,
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The radius is given in the diagram as half the circle, which is 15 cm.

The diameter is double the radius because the diameter measures the circle from edge to edge, so 15•2=30 cm.

The circumference of the circle is 2•3.14•r=C,
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3 years ago
If you place a 26-foot ladder against the top of a 10-foot building, how many feet will the bottom of the ladder be from the bot
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Answer:

24 foot

Step-by-step explanation:

We are given that

Length of ladder=26 foot

Height of building=10 foot

We have to find the distance between the bottom of ladder and the bottom of building.

Pythagorus theorem:

(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2

We have hypotenuse =AC=26 foot

Perpendicular side =AB=10 foot

Base=BC

Substitute the values in the given formula

(26)^2=(10)^2+(BC)^2

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Hence, the bottom of the ladder will be 24 foot  from the bottom of the building.

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The radius of a sphere is 12 units. Find the volume of the sphere. Write your answer in terms of pi.
stiv31 [10]

Answer:

V = 2304π units³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

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   = 4π × 576

   = 2304π units³

5 0
2 years ago
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