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3 years ago

What is the equation of a circle with its center at (−6,−3) and a radius of 12?

Mathematics

2 answers:

Marat540 [252]3 years ago

8 0

Answer:

x² + y² + 12x +6y - 99 = 0

Step-by-step explanation:

Given :

Centre = (-6,-3)
Radius = 12 ,

Using the Standard equation of circle ,

( x - h)² + (y-k)² = r²
( x +6)² + (y+3)² = 12²
x² + 36 + 12x + y² + 9 + 6y = 144
x² + y² + 12x + 6y +45-144 = 0
x² + y² + 12x +6y - 99 = 0

zavuch27 [327]3 years ago

7 0

Answer:

(x+6)^2 + ( y +3)^2 = 144

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x- -6)^2 + ( y - -3)^2 = 12^2

(x+6)^2 + ( y +3)^2 = 144

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Solve the equation 3x2 + 11z – 4= 0. Help I need to plug these in and find the two answers for x

Lorico [155]

Step-by-step explanation:

Explanation:

Given:

−3x2+12x+1=0

This is in the form:

ax2+bx+c=0

with a=−3, b=12 and c=1

In order to decide which method to use, we can first examine the discriminant:

Δ=b2−4ac=122−4(−3)(1)=144+12=156

Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.

So there is no rational factorisation and we can discount the use of an AC method or similar.

We can use the quadratic formula or we can complete the square.

If we choose to use the quadratic formula, then we find:

x=−b±√b2−4ac2a

x=−b±√Δ2a

x=−(12)±√1562(−3)

x=−12±2√39−6

x=2±√393

When completing the square, note that b=12 is already divisible by a=−3 and by

6 0

3 years ago

I need help with number 5

lara31 [8.8K]

Answer:

-14 *F

Step-by-step explanation:

-3 minus 11 is -14

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7 0

3 years ago

Read 2 more answers

Carly bought a new house for $125,000. The value of the house appreciates approximately 3.5% each year. What will be the value o

statuscvo [17]

Answer-

Y=125,000 (1+.035)^10

Y=125,000 (1.035)^10

Y=125,000 (1.410598716) or 125,000 (1.41)

Y= $176324.85 or $176250

5 0

3 years ago

5+2(w-6) how do i rewrite as addition and solve?

Firdavs [7]

Answer:

$2w - 7$

Step-by-step explanation:

1) Expand by distributing terms.

$5 + 2w - 12$

2) Collect like terms.

$2w + (5 - 12)$

3) Simplify.

$2w - 7$

Therefor, the answer is 2w - 7.

7 0

3 years ago

This is 10 points plz help ( NO LINKS )

WINSTONCH [101]

Answer:

side A is 18.75 cm² greater than side B

Step-by-step explanation:

area of A = 12.5 x 7.5 = 93.75 cm²

area of B = 10 x 7.5 = 75 cm²

93.75 - 75 = 18.75 cm²

6 0

3 years ago