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2 years ago

12

What are the steps used to transform the general form of the equation of a circle to standard form

1 answer:

Bezzdna [24]2 years ago

4 0

Answer:

Step-by-step explanation:

Convert the equation of a circle in general form shown below into standard form. Find the center and radius of the circle. Group the x 's and y 's together. Consider the x2 and x terms only. Complete the square on these terms. Replace the x2 and x terms with a squared bracket.

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Simplify the expression 1-cos^2(t) / cos^2(t)

OLEGan [10]

Answer: $\tan^2 t$

Step-by-step explanation:

$\sin^{2} t+\cos^2 t=1 \implies 1-\cos^2 t=\sin^2 t\\\\\implies \frac{1-\cos^{2}t}{\cos ^2 t}=\frac{\sin ^2 t}{\cos^2 t}=\tan^2 t$

3 0

1 year ago

6. Two points in the plane, ????(19,4) and ????(19,−6), represent the endpoints of the diameter of a circle.

dusya [7]

Answer:

Radius = 5

center is (19,-1)

$(x-19)^2(y+1)^2= 25$

Step-by-step explanation:

Two points in the plane, (19,4) and (19,−6), represent the endpoints of the diameter of a circle.

Distance between the points is calculated using formula

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10$

diameter = 10

radius = diameter divide by 2

Radius = 5

midpoint is the center of the circle

$\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)$

(19,-1)

Equation of the circle

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

h,k is the center and r is the radius

h=19 and k=-1 , r=5

$(x-19)^2(y+1)^2= 25$

8 0

2 years ago

Plssss help meeee!!!

pogonyaev

The answer is c b/c you multiply

3 0

2 years ago

Read 2 more answers

1/9 and 1/8 closer to 0,0.5 or 1

pentagon [3]

Answer;

they are both closer to 0

Step-by-step explanation:

9/9= 1

4/9= approximately 0.5

8/8= 1

4/8= 0.5

6 0

2 years ago

30000mm how much did it grow in a meter

Serggg [28]

30000mm÷10=3000cm
3000cm÷100=30m
Answer: 30m

7 0

2 years ago