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3 years ago

A circle has the equation x2 + (y−7)2 = 121. What is the length of the diameter of the circle?

Mathematics

1 answer:

Reika [66]3 years ago

8 0

Answer:

Step-by-step explanation:

The standard form for an equation of a circle is $(x-h)^2+(y-k)^2=r^2$ , where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius of the circle. Therefore, the radius of this circle squared is 121, meaning that the radius of the circle is 11. Since the diameter of a circle is twice the radius, the radius of this circle is 22. Hope this helps!

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Pick the correct graph and equation pleasee!

laila [671]

Given:

Amount of flour in a bin = 30 cups

Flour required for each signature cake = $1\dfrac{1}{2}$ cups

To find:

The correct equation and graph for the given situation.

Solution:

Let F be the amount of flour in the bin and c be the number of signature cakes.

Flour required for each signature cake = $1\dfrac{1}{2}$ cups

Flour required for each signature cake = $1.5$ cups

Flour required for c signature cakes = $1.5c$ cups

Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:

$F=30-1.5c$

At $c=0$ , we get

$F=30-1.5(0)$

$F=30$

At $F=0$ , we get

$0=30-1.5c$

$1.5c=30$

$c=\dfrac{30}{1.5}$

$c=20$

Therefore, the required equation is $F=30-1.5c$ and the 4th graph is correct.

5 0

3 years ago

What decimal is halfway between 18 hundredths and 3 tenths

meriva

Answer:

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Step-by-step explanation:

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3 years ago

A rental car agency charges $170 per week plus $0.15 per mile to rent a car. Solve the equation below to find x the number of m

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Answer:

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Answer:

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3 0

3 years ago

Rumor of the cancellation of final exams began to spread one day on a college campus with a population of 80 thousand students.S

Nikolay [14]

Answer:

P(t) is directly proportional to N and N'.

Where P is the increase in numbers of students who have heard the exam's cancellation rumor at any time t;

N is numbers of students who have heard the rumor of the exam's cancellation;

N' is numbers of students who have not heard the rumor of the exam's cancellation;

N' = (80 - N). Since the total number of students is 80;

K is the constant of the proportionality.

K is calculated to be 9/700

Therefore,

P(t) = KNN'

P(t) = (9/700) x N x (80 - N)

Step-by-step explanation:

The total number of students is 80. For N, N' = 80 - N.

Initially, 1 thousand people heard the rumor.

Within/after a day, the increased in number of students who have heard the rumor is P = 10 - 1 = 9

P = 9 = K x 10x (80-10)

9 = K x 10 x 70 = 700K.

Divide both sides by 700,

9/700 = (700/700)K

K = 9/700

Subtitle K into the equation P(t) = KNN'

P(t) = (9/700) x N x N'

P(t) = (9/700) x N x (80 - N), where N' = 80 - N

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3 years ago