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Alona [7]
3 years ago
15

What is the equation in point slope form of the line that passes through the point (–1,–3) and has a slope of 4?

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
6 0

Answer:

The required equation is y + 3 = 4(x + 1)

Step-by-step explanation:

Since, the point slope form of a line passes through the point (x_1, y_1) having slope m is,

y-y_1 = m(x-x_1)

Here,

x_1 = -1, y_1 = -3\text{ and }m = 4

Hence, the equation of the line,

y+3 = 4(x+1)

Or

y = 4(x+1) - 3

Law Incorporation [45]3 years ago
4 0
M=4

(-1, -3)
x1, y1

just plug the rest in

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The distance of the robot from the charging base is gotten as; 62 cm

<h3>How to use Cosine Rule?</h3>

From the image attached showing the movement of Kapil's robot, we can use cosine rule to find the value of h which is the distance of the robot from the charging base.

The distance of the robot from the charging base is gotten by;

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2 years ago
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3 years ago
Paul teaches math to five classes in sixth grade. He wants to measure the variation in the performances of students of each clas
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6 0
3 years ago
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3x-12+10=8-2x what does x equal?
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What is the approximate value of k?
lesya692 [45]

Hello from MrBillDoesMath!

Answer:

5.06

Discussion:

Angle J = 180 - (120 + 40) = 180 - 160 = 20 degrees,

From the law of sines

sin(120)/k = sin(20)/2  =>

sin(120) =  k *  (  sin(20)/2) )                (multiply both sides by "k")

k = sin(120)/  (   sin(20)/2)                    (divide both sides by sin(20)/2)

k =  (0.866) /  ( 0.171) =  5.06


Regards,  

MrB

 P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


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