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Sidana [21]
3 years ago
12

HELP ME Using the following equation, complete the square and find the center and radius of the circle:

Mathematics
1 answer:
IrinaK [193]3 years ago
5 0

Answer: (-2,3), r=5\ \text{units}

Step-by-step explanation:

Given

the equation is x^2+y^2+4x-6y-12=0

completing the square

\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2

Thus, the center of the circle is (-2,3) and radius is r=5\ \text{units}

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Lana71 [14]

Step-by-step explanation:

a) determine the rate in km/L

==> 9.5 L/100km = 10.526316 km/L

b) how far can the car travel with 475L petrol

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c) how many litres of petrol do they need to travel 350 km

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Liters per 10 km (l/10 km)0.03

Liters per 100 km (l/100km)0.29

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6 0
2 years ago
Carly tried to solve an equation step by step. 7a=28 Step 1: 7a/a = 28/7 Step 2: 7 = 4 Find Carly's mistake A: Step 1 B: Step 2
Murrr4er [49]

This are the right steps

Step 1: first you divide the both size by 7 because there is 7 a's

7a/7 = 28/7

Step 2: You solve the equation

7a/7= a. 28/7 = 4

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not 7 = 4

6 0
2 years ago
Which are correct statements regarding proofs? Select three options.
kompoz [17]

Answer:

In a paragraph proof, statements and their justifications are written in sentences in a logical order.

A two-column proof consists of a list statements and the reasons the statements are true.

A paragraph proof is a two-column proof in sentence form.

Step-by-step explanation:

  • In a paragraph proof, statements and their justifications are written in sentences in a logical order.
  • A two-column proof consists of a list statements and the reasons the statements are true.
  • A paragraph proof is a two-column proof in sentence form.

A paragraph proof is only a two-column proof written in sentences. However, since it is easier to leave steps out when writing a paragraph proof.

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column

8 0
2 years ago
Find the values of x and y.
babunello [35]

Answer:

x=21°. :Angles subtended by the same arc

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8 0
3 years ago
Ahmed buys a house worth 268,000 pounds and its value rises at a compound rate of x% per year.
levacccp [35]
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8 0
2 years ago
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