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mixer [17]
3 years ago
6

A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the

length of the radius?
(-7, -1), 36 units


(7, 1), 36 units


(7, 1), 6 units


(-7, -1), 6 units
Mathematics
2 answers:
Alona [7]3 years ago
7 0
We are given the expression of the equation of a circle that is x2 + y2 + 14x + 2y + 14 = 0. Using ocmpleting the squares: 
x2 + y2 + 14x + 2y + 14 = 0(x+7)^2 + (y+1) ^2 = -14 + 49 + 1(x+7)^2 + (y+1) ^2 = 36 center thus is at (-7,-1) and the radius is equal ot square root of 36 equal to 6. 
irinina [24]3 years ago
3 0

Answer:

It's D people on this website dont know how to put the answer. smh

Step-by-step explanation:

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295 + 39x = 350 - 33x<br><br> solve for x and show work
Katarina [22]

Answer:

x=\frac{55}{72}

Step-by-step explanation:

295+39x=350-33x

Subtract 295 from both sides:

39x=-33x+55

Add 33x to both sides:

72x=55

Divide both sides by 72:

x=\frac{55}{72}

7 0
3 years ago
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A particle is moving along the x-axis so that its position at t ≥ 0 is given by s(t)=(t)ln(5t). Find the acceleration of the par
lyudmila [28]

Answer:

a(\frac{1}{5e})=5e

Step-by-step explanation:

we are given equation for position function as

s(t)=tln(5t)

Since, we have to find acceleration

For finding acceleration , we will find second derivative

s'(t)=\frac{d}{dt}\left(t\ln \left(5t\right)\right)

=\frac{d}{dt}\left(t\right)\ln \left(5t\right)+\frac{d}{dt}\left(\ln \left(5t\right)\right)t

=1\cdot \ln \left(5t\right)+\frac{1}{t}t

s'(t)=\ln \left(5t\right)+1

now, we can find derivative again

s''(t)=\frac{d}{dt}\left(\ln \left(5t\right)+1\right)

=\frac{d}{dt}\left(\ln \left(5t\right)\right)+\frac{d}{dt}\left(1\right)

=\frac{1}{t}+0

a(t)=\frac{1}{t}

Firstly, we will set velocity =0

and then we can solve for t

v(t)=s'(t)=\ln \left(5t\right)+1=0

we get

t=\frac{1}{5e}

now, we can plug that into acceleration

and we get

a(\frac{1}{5e})=\frac{1}{\frac{1}{5e}}

a(\frac{1}{5e})=5e


5 0
3 years ago
Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se
sesenic [268]

Answer:

Log_5 12=1.54

Step-by-step explanation:

We are given that

Log_5 12

We have to find the value of given logarithms by using change-base formula

Base-change formula:

log_a b=\frac{Log_x b}{Log_x a}

Where x=New base

Using the formula then, we get

Log_5 12=\frac{log_{10} 12}{log_{10} 5}

Substitute the values log_{10}12=1.079, log_{10}5=0.699

Then,we get

Log_5 12=\frac{1.079}{0.699}

Log_5 12=1.54

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3 years ago
What is the prime factorization of 144? Be sure to show your strategy.
Assoli18 [71]

Answer:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. Prime factorization: 144 = 2 x 2 x 2 x 2 x 3 x 3, which can also be written 144 = (2^4) x (3^2)

Step-by-step explanation:

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2 years ago
Solve for the unknown angles. Justify your answers with steps (do not just provide answers)
Cloud [144]

Answer:

PNQ=117

LKQ=102

Step-by-step explanation:

LKQ=180-78=102

KQN=180-67=113

LNQ=360-82-102-113=63

PNQ=180-63=117

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2 years ago
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