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3 years ago

Write an equation of the direct variation that includes the point (9, –12).

Mathematics

1 answer:

Olenka [21]3 years ago

3 0

Answer:

I think you have a typo in you choices...

y = -4/3 x is the answer...

which is the same as y = - 1 1/3 x

you don't have that choice, "A" and "C" are the same..

I think that one of them is "y = - 1 1/3 x "

y = kx

-12 = k 9

k = -12/9 = -4/3

Step-by-step explanation:

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How do I solve the equation?

trapecia [35]

Answer:

(-3, 5) radius- r= 5

Step-by-step explanation:

x^2+6x+y^2-10y=-9

Rewrite ^2+6x+y^2-10y=-9 in the form of the standard circle equation

(x-(-3))^2+(y-5)^2= 5^2

Therefore the circle properties are:

(a, b)=(-3, 5), r= 5

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5 0

3 years ago

It is generally believed that the mean value of the district's total SAT score distribution is equal to 1200 (the null hypothesi

g100num [7]

Answer:

The corresponding p-value, is p = 1

Step-by-step explanation:

The maximum score SAT score, n = 1,600

The mean of the district's total SAT score distribution = 1,200

The claim of one of the districts principal, is the that mean of the district's total SAT score distribution ≠ 1,200

Using proportions, we have;

p = 1,200/1,600 = 0.75

q = 1 - p = 0.25

The margin of error, E = Z√(p·q/n)

∴ E = 5% = Z×√((0.75 × 0.25)/1,600)

z = 0.05/(√((0.75 × 0.25)/1,600)) ≈ 4.61880

Therefore, the corresponding p-value, p = 1

7 0

3 years ago

In a group of 84 kids, three-sevenths bought their lunches.Of those who bought their lunches got a slice of pizza? Write your fr

Tcecarenko [31]

Answer:

There's not enough information to answer the question.

Step-by-step explanation:

The question says that out of 84 kids, 3/7 bought their lunches. Then it asks how many of the 3/7 got pizza without providing a number of those who bought a different food. And so, there's not enough information to solve this question.

5 0

3 years ago

A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi

gayaneshka [121]

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is $\frac{4}{3}\pi r^{3}$ .

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get $\frac{4}{3} (3.14)(4^3)$ . The first step is to cube 4 (4*4*4) to get 64. Now your equation is $\frac{4}{3}(3.14)(64)$ .