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2 years ago

Y varies jointly as x and z. If y = 12 when x = 4 and z = 3, find y when x = 9 and z = 8.

Mathematics

1 answer:

saul85 [17]2 years ago

3 0

Answer:

y = 72

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 12 when x = 4 and z = 3

12 = k × 4 × 3 = 12k ( divide both sides by 12 )

1 = k

y = xz ← equation of variation

When x = 9 and z = 8 , then

y = 9 × 8 = 72

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kirza4 [7]

9514 1404 393

Answer:

12. (x, D, E, F) = (8, 38°, 75°, 67°)

13. (x, P, Q, R) = (13, 126°, 30°, 24°)

Step-by-step explanation:

The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.

12. (5x -2) +(9x +3) +(11x -21) = 180

25x = 200 . . . . . . . add 20, simplify

x = 8 . . . . . . . . . divide by 25

Then the angle measures are ...

∠D = 5(8) -2 = 38°

∠E = 9(8) +3 = 75°

∠F = 11(8) -21 = 67°

13. (10x -4) +(4x -22) +(x +11) = 180

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x = 13 . . . . . . . . . divide by 15

Then the angle measures are ...

∠P = 10(13) -4 = 126°

∠Q = 4(13) -22 = 30°

∠R = 13 +11 = 24°

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3 years ago

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4 years ago

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3 years ago

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Step-by-step explanation:

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