Which table shows a proportional relationship between x and y?

Mathematics

1 answer:

Akimi4 [234]3 years ago

3 0

Answer:

First one

Step-by-step explanation:

First choose because they are all multiply by 5

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At a store, carpet is sold in units of 10 square yards.

Sliva [168]

We can generalise this by finding the equation of the line.
The gradient is: 15

We can take when x = 10, and y = 150 to find the equation of the line.
y - 150 = 15(x - 10)
y - 150 = 15x - 150
y = 15x

Thus, when x = 80, y = $1200 (ie B)

6 0

3 years ago

An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8).

MAVERICK [17]

Answer:

The last one.

Step-by-step explanation:

The standard form equation of an ellipse with foci on the y-axis is ...

y²/a² +x²/b² = 1

where "a" and "b" are the lengths of the semi-major and semi-minor axes, respectively. If "c" is the distance from the center to the focus, then this relation also holds:

b² +c² = a²

For this ellipse ...

b² + 8² = 17²

289 -64 = b² = 225 . . . . . subtract 8²

b = 15 . . . . . . . . . . . . . . . . . take the square root

The equation of the ellipse is then ...

y²/17² +x²/15² = 1