Z is jointly proportional to x^2 and y^2. If z=379 when x=7 and y=5, find z when x=6 and y=4

Given:

z is jointly proportional to x² and y². This can be written as,

We need to determine the value of z when x = 6 and y = 4

Value of constant k:

If z = 379 when x = 7 and y = 5, then, we get;

Simplifying the terms, we get;

Dividing both sides of the equation by 1225, we get;

Thus, the value of k is 0.309

Value of z:

The value of z can be determined by substituting , and in

Thus, we get;

Thus, the value of z is 177.98

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

- 70

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