Plz help i need help

Determine the equation of the circle graphed below. ( please help me )

Brums [2.3K]

Answer:

$Equation : \\(x+3)^2 + ( y -2)^2 = 36$

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: Find the centre

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

$Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) = (-3, 2)$

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : Find radius

$Radius = \frac{Diameter }{2}$

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

$Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\$

$= \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12$

Therefore ,

$Radius = \frac{12}{2} = 6$

Step 3 : Equation of the circle

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

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

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

$(x - (-3))^2 + (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36$

5 0

3 years ago

How does a change in the value of h effect the axis of symmetry of the graph ? How does the value of k change the axis of symmet

Ber [7]

The value of h is exactly the axis of symmetry. So when h changes, it completely changes the line of symmetry. This is because the vertex is (h, k) and the x value of the vertex is always equal to the line of symmetry in a quadratic.

Changing the k value does nothing to the line of symmetry. This is because it is just moving the graph up and down, which doesn't change the symmetry of a parabola.

5 0

3 years ago

(4x-5) (4x+5) Expand and simplify

goldfiish [28.3K]

Step-by-step explanation:

(4x-5)(4x+5)

multiply each

4x×4x=16x^2

4x×5=20x

-5×4x= - 20x

-5×5= -25

16x^2+20x-20x-25

16x^2-25

3 0

3 years ago

Please solve this question

kondor19780726 [428]

Answer:

D: 79

Step-by-step explanation:

180 - 110 = 79

A straight line is 180 degrees.

3 0

3 years ago

Solve for x. Round measures to the nearest tenth

Stels [109]

Hello,

*I will move straight to the math. If you have questions, ask away! :)
* All calculations are in “degree mode” for a TI calculator or other calculator.

I will apply Laws of Sines/Cosines and inverse functions for your math.

6 0

3 years ago