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3 years ago

A circle has a center at A (-3,4) and radius of 4 units. What is the equation of the circle? Show work!

Mathematics

1 answer:

Studentka2010 [4]3 years ago

7 0

Answer:

The equation of the circle is (x+3)^2 + (y-4)^2 = 16.

Step-by-step explanation:

The equation of a circle can be calculated if the center and the radius are known. The equation of a circle is given by (x-h)² + (y-k)² = r²

Where (h, k) = center coordinates and r = radius.

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A segment has endpoint X and Z what are the two names of the segment?

Naily [24]

Segment XZ and segment ZX

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3 years ago

Callie is installing a rectangular walkway up to her house. The width of the walkway is 5 feet and the length is 27 feet. She ne

Sergio [31]

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1 year ago

Mario says that the expression 4+3n² has four terms: 4, 3, n, and 2. Is he correct? explain.

stich3 [128]

Mario says that the expression $4+3n^2$ has four terms: 4, 3, n, and 2. Mario is incorrect

<em><u>Solution:</u></em>

Given that the expression is:

$4+3n^2$

Given that, Mario says that the above expression has four terms

But Mraio is incorrect

Because the given expression has two terms only

4 is one of the term

$3n^2$ is another term

So there are totally 2 terms only

A term can be a signed number, a variable, or a constant multiplied by a variable or variables

Here 3 is a constant multiplied by $n^2$

So, $3n^2$ is one term

Each term in an algebraic expression is separated by a + sign or - sign

Thus there are two terms in mario expression

8 0

2 years ago

A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140

amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

7 0

3 years ago

user100 [1]

Answer:

1,000

Step-by-step explanation:

1,000 miligrams is 1 gram hope this helps god bless

8 0

2 years ago