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dolphi86 [110]
3 years ago
14

If z varies inversely as w, and z= 3 when w=4, find z when w=2. Z=

Mathematics
1 answer:
vivado [14]3 years ago
8 0

Answer:

6

Step-by-step explanation:

Inverse proportion.

z = k/w

z = 3, w = 4

Solve for k constant.

3 = k/4

(4)3 = (4)k/4

12=k

The value of k constant is 12.

z = k/w

Put w as 2 and k as 12 and solve for z.

z = 12/2

z = 6

The value of z when w equals 2 is 6.

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Solve the system with elimination 4x+3y=1 -3x-6y=3
Nuetrik [128]

Answer:

x = 1, y = -1

Step-by-step explanation:

If we have the two equations:

4x+3y=1 and -3x - 6y = 3, we can look at which variable will be easiest to eliminate.

y looks like it might be easy to get rid of, we just have to multiply 4x+3y=1  by 2 and y is gone (as -6y + 6y = 0).

So let's multiply the equation 4x+3y=1  by 2.

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Now we can add these equations

8x + 6y = 2\\-3x-6y=3\\

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5x = 5

Dividing both sides by 5, we get x = 1.

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5 0
3 years ago
If K is the midpoint of JL, JK = 9x -1 and KL = 2x +27, find JL
Liula [17]

Answer:

JL = 70

Step-by-step explanation:

Since K is the midpoint of JL then JK = KL and

JL = JK + KL = 9x - 1 + 2x + 27 = 11x + 26

solve for x using JK = KL

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x = 4, hence

JL = 11x + 26 = (11 × 4 ) + 26 = 44 + 26 = 70


3 0
3 years ago
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