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3 years ago

For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3? 3/7 7/3 10 21

Mathematics

2 answers:

Paha777 [63]3 years ago

8 0

Option D! which would be 21!

Elza [17]3 years ago

4 0

Hello there,

So by using the formula xy=k just plug in both x and y.

So this would be (7)(3)=k

Which means 21=k

Hope this helped!

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System of equations 9x+8y=-19 ; 7x+9y=-12

klasskru [66]

Answer:

(-3,1)

Step-by-step explanation:

9x+8y=-19

7x+9y=-12

I'll assume the question is to find the solution to these equations. The solution will be the point (x,y) where the two lines intersect. The intersection is the one point that satisfies both equations (the smae value of (x,y) works in both.

We can either solve matematically of graph to find the intersection. I'll do both, and hope the answers are identical.

Matematically

Rearrange either equation to isolate one of the variables (either x or y). I'll take the second and isolate x:

7x+9y=-12

7x = -9y - 12

x = (-9y - 12)/7

Now use this definition of x in the other equation:

9x+8y=-19

9((-9y - 12)/7) + 8y = -19

(-81y - 108)/7 + 8y = -19

-81y - 108 + 56y = - 133

-25y = -25

y = 1

If y = 1, then:

9x+8y=-19

9x+8(1)=-19

9x = -27

x = -3

The solution is (-3,1)

Graphing

Graph both lines and look for the intersection. The attached graph shows the lines cross at (-3,1).

The solution, bu both approachjes, is (-3,1)

6 0

2 years ago

A midwestern music competition awarded 38 ribbons. The number of blue ribbons awarded was 3 less than the number of white ribbon

givi [52]

15 red, 13 white, and 10 blue. I divided 38 by three and just sorta guessed from there if that makes any sense :P hope I helped!

8 0

3 years ago

Estimate the solution to the system of equations.

klemol [59]

Answer:

x=1/2; y=-6

Step-by-step explanation:

2x-2=-2x-5

4x=2

x=1/2

y=-1-5

y=-6

8 0

3 years ago

The vertices of a quadrilateral on the coordinate plane are (2, 4), (-4, -2), (-2, 4), and (4, -2). What type of quadrilateral h

seropon [69]

Answer: Isosceles Trapezoid

Step-by-step explanation:

See the graph of the quadrilateral.

4 0

2 years ago

Need help with this

photoshop1234 [79]

Answer:

9.6x10^3

Step-by-step explanation:

9,600

find the highest number

9,600

bring the decimal to that number

9.600

count how many spaces it took to get to that number

9.600

^ ^ ^

so its 10 to the third power

7 0

3 years ago