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kari74 [83]
3 years ago
13

Find the radius and center of the circle given by the equation below. (x – 6)2 + (y + 4)2 = 7

Mathematics
2 answers:
valentina_108 [34]3 years ago
4 0
Center will be (6,-4) and the radius will be square root of 7
Nat2105 [25]3 years ago
4 0

Answer:

Center (6 , -4) and radius  √7.

Step-by-step explanation:

Given  : (x – 6)² + (y + 4)² = 7

To find  : Find the radius and center of the circle .

Solution : We have given that (x – 6)² + (y + 4)² = 7

We can write this equation as (x – 6)² + (y + 4)² = (√7)².

Standard form of circle (x – h)² + (y - k)² = (r)².

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

On comparing with standard equation :

h = 6, k = -4 and r = √7.

Therefore, Center (6 , -4) and radius  √7.

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Which property is illustrated by the following statement if ABC=DEF and DEF=XYZ then ABC=XYZ
Harlamova29_29 [7]

Answer:

Transitive property of equality

Step-by-step explanation:

Let A be any non empty set and R is any subset of the Cartesian product A × A. Then, R is a relation on A.

The relation R is said to be a transitive relation if (a, b) ∈ R, (b, c) ∈ R, then (a, c) ∈ R.

It is given that ABC = DEF and DEF = XYZ, then ABC = XYZ.

This shows the transitive property of equality.

3 0
3 years ago
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stealth61 [152]
There is 5 different pairs
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2 years ago
Point M is on line segment \overline{LN}
MissTica

Considering the relation built the presence of point M on line LN, the numerical length of LN is of 9 units.

<h3>What is the relation from the presence of point M on the line LN?</h3>

Point M splits line LN into two parts, LM and MN, hence the total length is given by:

LN = LM + MN.

From the given data, we have that:

  • LN = 2x - 5.
  • LM = 3.
  • MN = x - 1.

Hence we first solve for x.

LN = LM + MN.

2x - 5 = 3 + x - 1

x = 7.

Hence the total length is:

LN = 2x - 5 = 2 x 7 - 5 = 14 - 5 = 9 units.

More can be learned about relations and lines at brainly.com/question/2306122

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3 0
1 year ago
A parking garage charges $5.50 to park for 4 hours and $7.75 to park for 7 hours. If the cost is a linear function of the number
Veseljchak [2.6K]
Given:
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4                 5.50
7                 7.75

7 - 4 = 3 hours
7.75 - 5.50 = 2.25

2.25 / 3 = 0.75

0.75 is the change in amount for every hour spent. It is the variable unit rate

4 hours is 5.50.

Cost of parking for 3 hours is: 5.50 - 0.75 = 4.75

0.75 x 4 hours = 3 
5.50 - 3 = 2.5 fixed charge.

total parking charge:  y = 2.50 + 0.75x
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3 years ago
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