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ivolga24 [154]
2 years ago
12

The circle below is centered at (3, 1) and has a radius of 2. What is its equation?

Mathematics
1 answer:
MissTica2 years ago
5 0

Answer:

( x-3) ^2 + ( y-1) ^2 = 4

Step-by-step explanation:

The equation for a circle is given by

( x-h)^2 + ( y-k) ^2 = r^2  where (h,k) is the center and r is the radius

( x-3) ^2 + ( y-1) ^2 = 2^2

( x-3) ^2 + ( y-1) ^2 = 4

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By conservation of momentum,

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where v is the final velocity of the second car.

Solve for v :

-175 kg•ms⁻¹ = -302.5 kg•ms⁻¹ + (170.0 kg) v

127.5 kg•ms⁻¹ = (170.0 kg) v

v = (127.5 kg•ms⁻¹) / (170.0 kg) = 0.75 ms⁻¹

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A rhombus is _____ a square. <br> A. always<br> B. sometimes<br> C. never
Lubov Fominskaja [6]
B sometimes
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At a local movie theatre, sodas cost $4.50 and bags of popcorn cost $1.50. Kirk buys three times as many bags of popcorn as soda
BigorU [14]

Based on the calculations, Kirk bought 2.4 bags of popcorn and 7.2 sodas.

  • Let the number of sodas bought be s.
  • Let the number of bags of popcorn be p.

<u>Given the following data:</u>

  • Cost of soda = $4.50.
  • Cost of popcorn = $1.50.
  • Total price = $36.

a. To write a system of equations that models this scenario:

<h3>What is a system of equations?</h3>

A system of equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

<h3>For the soda and popcorn:</h3>

4.5s+1.5p=36    ...equation 1.

Translating the word problem into an algebraic expression, we have;

Three times as many bags of popcorn as sodas:

3p=s   ...equation 2.

b. To determine how many of each item Kirk bought:

Substituting eqn. 2 into eqn. 1, we have:

4.5(3p)+1.5p=36\\\\13.5p+1.5p=36\\\\15p=36\\\\p=\frac{36}{15}

p = 2.4 bags of popcorn

<u>For soda:</u>

s=3p\\&#10;\\&#10;s=3 \times 2.4

s = 7.2 sodas.

Read more on word problems here: brainly.com/question/13170908

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