${x}^{2} + {y}^{2} = 34 \\ x + y = 8 \\ x = 8 - y \\ substitute \: x \: in \\ {x}^{2} + {y}^{2} = 34 \\ {(8 - 4)}^{2} + {y}^{2} = 34 \\ {(8 - 4) }^{2} = {y}^{2} - 16y + 64 \\ {y}^{2} - 16y + 64 + {y}^{2} = 34 \\ {2y}^{2} - 16y + 64 = 34 \\ {2y}^{2} - 16y + 64 - 34 = 0 \\ {2y}^{2} - 16y + 30 = 0 \\ 2 {y}^{2} - 6y - 10y + 30 = 0 \\ (2 {y}^{2} - 6y) - (10y + 30) = 0 \\ 2y(y - 3) - 10(y - 3) = 0 \\ (2y - 10)(y - 3) \\ 2y = 10 \\ y = \frac{10}{2} \\ y = 5 \\ or \\ y = 3 \\ if \: y = 5 \: \: x = 3 \\ if \: y = 3 \: \: x = 5$

4 0

3 years ago

Likurg_2 [28]

Answer:

D. inverse variation; xy = 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

For direct variation the equation relating x and y is

y = kx, that is

k =

Using the values in the table

= 2

k is not constant hence not direct variation

For inverse variation the equation relating x and y is

y = , that is

k = xy

Using the values in the table

2 × 4 = 8

4 × 2 = 8

8 × 1 = 8

12 × = 8

Thus the table represents inverse variation with xy = 8

...............................................................................................................................................

Answer:

D. inverse variation; xy = 8

Step-by-step explanation:

First we need to understand the concept of direct and inverse relation or proportion between variables.

When value of one variable increases with the increase in value of second variable, this relation is called directly proportional.

When value of one variable decreases with the increase in value of second variable, this relation is called inverse proportion.

You can observe it it daily life example too. Like if you pour water in glass, its weight will increase. If you add more water, the weight of glass will increase more. It is direct proportion. But on the other hand, if one man do any particular task in 2 hours, two men will perform task in less time, which means the hours of work are inversely proportional to number of men.

Now in given equation you can see that, when x = 2, y =4, but when x = 4, y =2, which means value of y is decreasing with the increase in value of x. So this relation is inverse.

You can also satisfy the equation by putting values of x and y.

xy = 8

From first column

2x4 = 8

From last column

12x(2/3) = 8

6 0

2 years ago

Which unit would use used to measure the capacity? Milliliter or liters For a bucket

frozen [14]

Answer:

Liters

Step-by-step explanation:

Milliliters are used to measure smaller amount of liquids while liters are used for bigger. If you were to use a bucket, you would need to measure the capacity with bigger measurements.

7 0

2 years ago