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Simora [160]
3 years ago
12

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

t.
x2 − 4x + y2 + 8y = −4 (10 points)
Mathematics
1 answer:
Oxana [17]3 years ago
8 0

Answer:

Center: (-2, 4)

Radius: 4

Step-by-step explanation:

To find the centre and radius, we require to identify g , f and c

By comparing the coefficients of 'like terms' in the given equation with the general form.

2g = 4 → g = 2 , 2f = -8 → f = -4 and c = 4 → center=(−g,−f)=(−2,4)

radius = √22+(−4)2−4= √4+16−4=4

Center: (-2, 4)

Radius: 4

Hope This Helps! :)

You might be interested in
Which of the following statements is true?
Vitek1552 [10]

Answer:

B

Step-by-step explanation:

1/9 can be simplified to 1/3 as 1/3 x 1/3 = 1/9  and 49/25 can be simplified to 7/5 as 7/5 x 7/5 = 49/25.

Now looking at both the fraction 1/3 and 7/5

1/3 simplifies to 0.34

It is an irrational value as the 3 keeps repeating.

7/5 simplifies to 1.4

It is a rational value as the decimal value is not repeating.

Thus making the second option the answer.

6 0
2 years ago
it is not always helpfule to rewrite an equation in standard form as a first step in solving it? true or false
Anni [7]

Answer:

True

Step-by-step explanation:

8 0
3 years ago
Fins the zeroes of the quadratic equation : 4√ 5 x^ 2 - 24x - 9√ 5
liubo4ka [24]

Answer:

Step-by-step explanation:

Hello,

First of all, we know that the solution of the following equation

   ax^2+bx+c=0

are

   \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \ \text{ when } \Delta=b^2-4ac \geq 0

<em>I would suggest that you try to apply this formula first and check the solution only after you try.</em>

Let's apply it in this case, we have:

a=4\sqrt{5} \\ \\ b=-24 \\ \\ c= -9\sqrt{5}

\Delta=b^2-4ac=24^2+4*9*5=1296 \\ \\ \sqrt{\Delta}=36 \ \text{ and the solutions are } \\ \\ \\ x_1=\dfrac{24-36}{8\sqrt{5}}=\dfrac{-12}{8\sqrt{5}}=\boxed{\dfrac{-3}{2\sqrt{5}}} \\ \\x_2=\dfrac{24+36}{8\sqrt{5}}=\dfrac{60}{8\sqrt{5}}=\boxed{\dfrac{15}{2\sqrt{5}}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
The function V=25000\left(0.82\right)^tV=25000(0.82) t models the depreciation of the value of a new car that originally cost $\
alekssr [168]

Answer:

V = 7,600.17

Step-by-step explanation:

Given:

V=25000(0.82)^t

Where,

V = value of the car

t = time in years

Find V when t = 6

V = 25,000(0.82)^t

= 25,000(0.82)^6

= 25,000(0.304006671424)

= 7,600.1667856

Approximately

V = 7,600.17

4 0
3 years ago
2. Simplify each expression.<br> A.5+5 (24 +12)3
Jlenok [28]

Answer:

5+5=10  24+12=36^3 = 46,656

Step-by-step explanation:

So will start off with the Left Side which begins with 5+5= 10

Right Side (24+12)3  So we will add what is in the Parantheses  24+12=36

36^3  is 46,656

5 0
3 years ago
Read 2 more answers
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