All categories

2 years ago

Find the center and radius of the circle x2+(y+8)2=4

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

4 0

Answer: Center (0, -8) and Radius = 2

The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.

You might be interested in

Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x

OleMash [197]

ANSWER

$x=1.39$ to the nearest hundredth.

EXPLANATION

We have the equation,

$0=2x^2+3x-8$

Which can be rewritten as

$2x^2+3x-8=0$

The question demands the use of the quadratic formula.

Comparing this to the general quadratic equation;

$ax^2+bx+c=0$

$a=2,b=3,c=-8$

The quadratic formula is given by;

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We now substitute all the values in to the formula;

$x=\frac{-3\pm\sqrt{(3)^2-4(2)(-8)}}{2(2)}$

We simplify to obtain;

$x=\frac{-3\pm\sqrt{9+64}}{4}$

$x=\frac{-3\pm\sqrt{73}}{4}$

We now split the plus or minus sign to obtain;

$x=\frac{-3-\sqrt{73}}{4}$

This implies that;

$x=-2.89$

$x=\frac{-3+\sqrt{73}}{4}$

This will evaluate to;

$x=1.39$

Hence, the positive solution rounded to the nearest hundredth is

$x \approx 1.39$

6 0

3 years ago

Read 3 more answers

I have a bag of trail mix. One half of the bag is peanuts 1/4 of the bag is chocolate candies,1/4 of the bag is dried fruit. Wha

lana66690 [7]

50% or 1/2 or 1:2 would be your answer

3 0

2 years ago

Can somebody help me?

Black_prince [1.1K]

Answer:

C) v≤-5

Step-by-step explanation:

$4v\leq -20$

Divide each side by 4,

$v\leq -5$

5 0

2 years ago

What is the total surface area of the cone?

Ymorist [56]

T.S.A. = pi (7) (24) + pi (7)^2 = 168pi + 49pi = 217 pi cm^2 = more or less 681,73 cm^2

7 0

2 years ago

Can someone help me with this please

Annette [7]

Answer:

The answer to your question is A.

6 0

2 years ago