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3 years ago

The equation of a circle is given below.

Mathematics

1 answer:

hram777 [196]3 years ago

8 0

Answer:

The center of the circle is (2/3, 0) and radius is ±6units

Step-by-step explanation:

Given the equation of a circle given as shown;

(x-2/3)²+y² = 36

To get the radius and centre of the circle, we will compare the equation with the general equation of a circle given as;

(x-a)²+(y-b)² = r² where (a, b) is the centre of the circle and r is the radius.

Comparing with the given equation,

we will see that;

a = 2/3, b = 0 and r² = 36

If r² = 36

r = ±√36

r = ±6

This shows that the center of the circle (a, b) = (2/3, 0) and radius is ±6

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Answer:

A function is an expression in terms of a variable, usually x. Hence, that is not a function.

Step-by-step explanation:

What you have there are four sets of coordinates.

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3 years ago

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Identify the number that is 9.5 units from 2 on a number line

dusya [7]

There are two such numbers.

One of them is 2 + 9.5 = 11.5.

The other one is 2 - 9.5 = -7.5.

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If we consider "9.5 units from 2" to be 9.5 units in the positive direction, then the appropriate choice is 11.5.

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3 years ago

If one dog eats 5 pounds of food each week, how many dogs will 65 pounds of food feed for a week

Kitty [74]

Answer:

It will feed 13 dogs.

Step-by-step explanation:

1 dog = 5 lbs

Set up an equation:

Variable x = number of dogs

1/5 = x/65

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1 × 65 = 5 × x

65 = 5x

Divide both sides by 5:

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13 dogs × 5 lbs = 65 lbs

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Correct!

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3 years ago

In 2009, the national debt of a government was about $10.5 trillion. Using 308.0 million as the population for that year, abo

Katarina [22]

Answer:

34091 dollars per person

Step-by-step explanation:

In order to answer the question, you have to divide the amount of debt by the amount of population to obtain the amount of dollars per person.

The debt was $10.5 trillion. A trillion is a thousand billion (1000 multiplied by a billion which is $10^{9}$ in scientific notation)

1000= $10^{3}$

One trillion is $(10^{3})(10^{9})=10^{12}$

The debt is: $ 10.5 x $10^{12}$

The population is scientific notation is: 308.0 x $10^{6}$

Dividing the amount of debt by the amount of population:

$\frac{(10.5)(10^{12})}{(308.0)(10^{6})}=\frac{(10.5)(10^{12-6})}{308.0}=\frac{(10.5)(10^{6})}{308.0}$

Simplifying and expressing it in standard notation:

34090.9 dollars per person

Rounding to the nearest dollar:

34091 dollars per person.

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3 years ago

I'm not sure about this one

Pavlova-9 [17]

Answer:

Step-by-step explanation:

V= 4/3 $\pi$ r^3

V= 4/3 $\pi$ (9)^3

V= 3,052.08 in^3

you are correct!

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3 years ago

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