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pogonyaev
3 years ago
13

Write the equation of a circle with a center at (-12, -11) and a radius of 7.​

Mathematics
1 answer:
Nookie1986 [14]3 years ago
3 0

let h=-12, k=-11 then

(x-h)^2 + (y-k)^2= r^2

(x+12)^2 + (y+11)^2 = 7^2

x^2 + 24x + 144 + y^2 + 22y + 121 = 49

x^2 + y^2 + 24x + 22y + 144+121-49= 0

x^2 + y^2 + 24x + 22y + 216 = 0 is the required eq

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30 less than 4 times a number is equal to 14
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equal means =
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3 years ago
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Solve for x. <br><br> 6^(x/2)=5^(1-x)
slavikrds [6]

Hello from MrBillDoesMath!

Answer:

x = log5 / ( (1/2)log6 + log5)

    approximately  0.642

Discussion:

Take the logarithm of both sides ( to "pull" the exponents down so we can work on them!)

6^(x/2)) = 5^(1-x)

log ( 6^(x/2)) = log (5^(1-x))      =>   using log (a^n) = n log a

(x/2) log6 = (1-x) log5               =>   add x log5 to both sides

(x/2) log6 + xlog5 =  log5 - xlog5 + xlog5   =>

(x/2) log6 + xlog5 = log5          => factor x from the lhs

x (  (1/2) log6 + log5) = log5     =>

x = log5 / ( (1/2)log6 + log5)    

The above can be further simplified but that's as far as I want to take it.The value of x is approx equal to  0.642


Thank you,

MrB

3 0
2 years ago
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ASHA 777 [7]

Step-by-step explanation:

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so there is no solution, since the given equation is 2x is greater than 2x + 2.

6 0
2 years ago
Which of the following statements could be used in the proof?
yulyashka [42]

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Option (3)

Step-by-step explanation:

To prove ΔULV ≅ ΔKLY,

                 Statements                    Reasons

1). VL ≅ LY                                1). Radii of a circle are equal

2). UL ≅ KL                              2). Radii of a circle are equal

3). ∠ULV ≅ ∠KLY                    3). Vertical angles are equal

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Therefore, property (3) given in the options will be used to prove the triangles congruent.

5 0
3 years ago
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