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3 years ago

What’s the equation of the circle with the center of five, -4 that passes through -3, two

Mathematics

1 answer:

ratelena [41]3 years ago

4 0

Answer:

(x-5)^2 + (y+4)^2 = 100

Step-by-step explanation:

First you need to know the equation of a circle which is,

(x – h)^2 + (y – k)^2 = r^2

(h,k) is the center point and r is the radius.

To find the radius use the distance formula which is

d= $\sqrt(x2-x1)^2 + (y2-y1)^2$ when you substitute you will get

$\sqrt(5+3)^2 + (-4-2)^2$ which simplifies to 10. That is the radius.

Then you will substitute that and the center point back into the equation to get the answer.

You might be interested in

What is the slope of all lines parallel to the line 4x-5y+-1?

Bond [772]

Given equation of the line ,

$\implies 4x - 5y +(-1) = 0$

Simplify ,

$\implies 4x - 5y - 1 = 0$

Transpose terms to RHS ,

$\implies 5y = 4x - 1$

Divide both sides by 5 ,

$\implies \boxed{ y =\dfrac{4}{5}x -\dfrac{1}{5}}$

Now we know the slope intercept form of the line as $y = mx + c$ we have ,

$m =\dfrac{4}{5}$

As we know that the slope of all parallel lines are same . Henceforth ,

$m_{|| \ lines } =\dfrac{4}{5}$

5 0

3 years ago

2)<br> A circle has a radius of 8 cm. What is its circumference?<br> 8 cm

egoroff_w [7]

Answer

16π cm ≈ 50.2655 cm

Step-by-step explanation

To find the circumference of a circle, we can use the equation C = 2πr.

C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.

The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.

Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.

C = 2πr (plug in 8 cm for the radius)

C = 2π * 8

C = 16π cm

Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).

16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value

C = 16π

C ≈ 16 * 3.1416

C ≈ 50.2655 cm rounded to four decimal places

6 0

4 years ago

Use any method to estimate how much Joan earns in all working 6.75 hours for 2 days earning $15.70 per hour.show your work

alexdok [17]

Answer:

$ 211.95

Step-by-step explanation:

soooo your supposed to multiply 6.75hr and 15.70

and get 105.975

the multiply that by 2

answer: $211.95

8 0

3 years ago

Mr Coope drives 472 miles in 8 hours. At this rate, how many miles would he drive in 6

KatRina [158]

8hrs = 480mins
6hrs = 360 mins
472/480 = 0.983...
0.983... x 360 = 354
D) 354

6 0

3 years ago

An airplane pilot experiences weightlessness as she passes over the top of a loop-the-loop maneuver. if her speed is 200 m/s at

yulyashka [42]

Centripetal acceleration is given by:
g=v^2/r
where:
v=velocity
r=rate
But
V=200 m/s, g=9.8 m/s^2
plugging the values in the formula we obtain:
9.8=200^2/r
r=200^2/9.8
r=4081.63 m

5 0

3 years ago