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Kipish [7]
3 years ago
6

For the inverse variation equation xy=k what is the constant of variation k when x=-3 And y=-2

Mathematics
2 answers:
ELEN [110]3 years ago
8 0

ANSWER

The constant of variation is 6.

EXPLANATION

The inverse variation equation is:

xy = k

We want to find the constant of variation, when x=-3 and y=-2.

We substitute the values for x and y to get,

- 3 \times  - 2 = k

Multiply out the left hand keeping in mind that negative times negative yields a positive result.

This implies that;

k= 6

Hence the constant of variation is 6.

Georgia [21]3 years ago
7 0

Answer:

The constant of variation k is 6.

Step-by-step explanation:

Given that there is inverse variation between x and y with equation

xy=k

we have to find the constant of variation k when x=-3 and y=-2

The inverse variation equation is:

xy = k

To find constant of variation we substitute the values of x and y

Put x=-3 and y=-2

(-3)\times (-2)=k

Solve LHS by multiplying

This implies

k= 6

Hence the constant of variation is 6.

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Points A,M and P are collinear with M in between A and P. If AP=29, AM =5x-3 and MP=8x+6, what does MP=?
charle [14.2K]

The length of MP is 22 units.

<h3>What is a Line Segment?</h3>

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure is given below shows a line segment AP, where the length of line segment AP refers to the distance between its endpoints, A and P.

Given that Points A, M and P are collinear with M in between A and P.

AP=29, AM =5x-3 and MP=8x+6,

A______________M______________P

⇒ AP = AM + MP

Substitute the values of AP = 29, AM =5x-3 and MP=8x+6,

⇒ 29 = 5x - 3 + 8x+6,

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So MP = 8x+6

Substitute the value of x = 2 in the above equation,

⇒ MP = 8(2) + 6

⇒ MP = 22

Hence, the length of MP is 22 units.

Learn more about the line segment here:

brainly.com/question/25727583

#SPJ1

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