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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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Determine whether these statements are true or false. a) ∅ ∈ {∅} b) ∅ ∈ {∅,{∅}} c) {∅} ∈ {∅} d) {∅} ∈ {{∅}} e) {∅} ⊂ {∅,{∅}} f )
Pavel [41]

Answer:

a) ∅ ∈ {∅} TRUE

b) ∅ ∈ {∅,{∅}}  TRUE

c) {∅} ∈ {∅}  FALSE

d) {∅} ∈ {{∅}} TRUE

e) {∅} ⊂ {∅,{∅}} TRUE

f ) {{∅}} ⊂ {∅,{∅}} TRUE

g) {{∅}} ⊂ {{∅},{∅}}FALSE

Step-by-step explanation:

To assess whether these statements are true or false, first observe the symbol:

"∈" means that element, as it is and as it is, belongs to the set. To belong to the set it must be within the symbols "{}"

On the other hand, the symbol "⊂" means "subset", that is, it is a subset that is included in the main set.

So:

c) is false because "{∅}" is not included in the set

g) is false because " {{∅}}" is not included in the set

7 0
3 years ago
F(x)=x^2+4x and g(x)= 2x+2, find f(5)+ g(6)
Lubov Fominskaja [6]
F(5) = 5² +4*5=25+20 = 45
g(6) = 2*6 +2 =12+2=14

f(5) + g(6)
= 45 +14 =59
3 0
3 years ago
1.In the beautiful place of Sabang. Danao City we can see a lot of Coconut
MrRa [10]

Answer:

A) Number of mango trees

B) Percentage of coconut trees = 60%

Total number of trees = 2230 trees

C)number of mango trees = 40% × 2230

D) 892 mango trees

Step-by-step explanation:

A) What is asked is the number of mango trees

B) We are given;

Percentage of coconut trees = 60%

Total number of trees = 2230 trees

C) Number sentence is defined as when we use an equation or inequality to describe an expression using numbers and signs.

We have percentage of coconut trees = 60%.

Thus, percentage of mango trees = 100% - 60% = 40%

In this case, the number sentence is; number of mango trees = 40% × 2230

D) number of mango trees = 40% × 2230 = 892

5 0
3 years ago
Online concert tickets cost 37 each plus a service charge of 8.50 per ticket. The web site also charges a transaction fee of 14.
Alex17521 [72]
Add the three numbers together and then divide 212.49÷60.49=3.51
I hope this helps

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