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Alex777 [14]
3 years ago
5

If x=z+8 where z varies inversely as y and z=2 when y=3 find relation between y and x?​

Mathematics
1 answer:
sattari [20]3 years ago
5 0

Answer:

y = 6/(x - 8).

Step-by-step explanation:

z = k/y    where k is a constant

2 = k/3

k = 6.

So z = 6/y

and  x = 6/y + 8

Multiply through by y:

xy = 6 + 8y

xy - 8y = 6

y(x - 8) = 6

y = 6/(x - 8)

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Which ordered pair is the solution to the system of linear equations y =-7x+2 and y = 9x-14?
shepuryov [24]

Answer:

(1, -5)

Step-by-step explanation:

Solve the system by setting the equations equal to each other, and solving for x:

-7x + 2 = 9x - 14

2 = 16x - 14

16 = 16x

1 = x

So, the x coordinate of the solution will be 1.

Plug in 1 as x into one of the equations, and solve for y

y = -7x + 2

y = -7(1) + 2

y = -7 + 2

y = -5

So, the y coordinate is -5.

The ordered pair solution is (1, -5)

4 0
3 years ago
Read 2 more answers
The lenght of an arc in a circle with radius 8 inches is 3.2π. determine the measure of the arc​
aleksandrvk [35]

Answer:

72

Step-by-step explanation:

32pi×360/2pi(8)=72

central angle= arc length 360/2pi×r

8 0
3 years ago
Please help me with Part A and B!
Illusion [34]

Answer:

A. When Katina has $280 in her bank account, 4 months have passed. Plug 4 months into Malorie's bank account equation:

a = 50(4) + 100

a = 200 + 100

a = $300

B. Malorie's bank account changes at a greater rate. Katina's bank account amount increases by $20 each month, whereas Malorie's bank account increases by $50.

Ex: month 5

Katina has 300, 20 more than the previous month.

Malorie has 350, 50 more than the previous month

5 0
3 years ago
I see <br>I think<br>I wonder​
IgorLugansk [536]

Answer:

i think its 2 rectangles

i wonder what the math question is gonna be

Step-by-step explanation:

3 0
3 years ago
What would -9 1/2 be as a decimal?
Kamila [148]
-9.5 because 1/2 simplifies to .5 and 9 is the whole number 
3 0
3 years ago
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