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Margaret [11]
4 years ago
13

Write the equation in general form of the circle with the given properties.

Mathematics
2 answers:
ser-zykov [4K]4 years ago
7 0
This question has been answered before by someone else.
If the answer provided did not suit your teacher/computer, it might be that the standard form is required, which is the first line of the previous response:

Equation of circle centred at (a,b) with radius r is:
(x-a)^2+(y-b)^2=r^2

with (a,b)=(8,7), i.e. a=8, b=7,  and r=9, the equation of the circle becomes

(x-8)^2+(y-7)^2=9^2
OR
<span>(x-8)^2+(y-7)^2=81</span>
schepotkina [342]4 years ago
5 0
 The equation of a circle with center (8,7) and radius 9 is as follows:

(x-8)^2+(y-7)^2=9^2

Multiplying this equation out will give us the general form of the equation of the circle.

(x-8)^2+(y-7)^2=9^2 \\ (x-8)(x-8)+(y-7)(y-7)=81 \\ (x^2-16x+64) + (y^2 -14x + 49) = 81 \\ x^2-16x+64 + y^2 -14x + 49 = 81

Simplify to get your answer:

x^2+y^2 -16x-14y + (49+64) = 81 \\&#10;x^2+y^2 -16x-14y + 113 = 81
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ankoles [38]

Answer:

a. The probability is not equal to 1

b. P (A') = 0.70

c. P ( A U B ) = 0.80

d. P ( A' ∩ B' ) = 0.20

Step-by-step explanation:

a. Because these A and B are disjoint

b. since the probability of  A is 0.30 then the probability of A compliment is

    P(A compliment ) = 1 - P (A)

    P(A compliment ) = 1-0.30

    P(A compliment ) = 0.70

c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;

       P ( A U B ) = P (A) + P(B) - P(A∩ B)

       P ( A U B ) = 0.30 + 0.50 - 0

       P ( A U B ) = 0.80

d. The inetrsection of compilments of A and B are:

by using De Morgan's Law we have,

                     P ( A' ∩ B' ) = P [(A U B )']

                     P ( A' ∩ B' ) = 1 - P ( A U B )

                     P ( A' ∩ B' ) = 1 - 0.80

                     P ( A' ∩ B' ) = 0.20

5 0
3 years ago
If the diameter of a circle is 18 feet, which is closest to the circumference
MAXImum [283]

If the diameter of the circle is 18 feet, the circumference of the circle is 56.55 feet.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.

The diameter of a circle is 18 feet.

D = 18 feet

Now, the radius of the circle is half the diameter of the circle.

Therefore,

Diameter = 2 × Radius

Radius = Diameter / 2

D = 2r

r = D / 2

r = 18 feet / 2

r = 9 feet

Now, the circumference of a circle is given as:

Circumference = π × diameter

Circumference = π × 2r

Circumference = 2πr

Circumference = 2 × π × 9 feet

Circumference = 2 × 3.14159 × 9

Circumference = 56.55 feet

Learn more about circles here:

brainly.com/question/8952990

#SPJ9

8 0
1 year ago
What is 59,468 to the place of 9 the underlined digit
Diano4ka-milaya [45]

59,468

9 is in the thousands place

If you want to round, look at the hundreds place value. It is a 4. Because 4 is less than 5, round down.

59,000 is your rounded

hope this helps

4 0
4 years ago
What is the equation of the line that passes through the point (5, -2) and has a<br> slope of -2/5
Alecsey [184]

Answer:

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Step-by-step explanation:

y-y1=m(x-x1)

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y+2=-2/5(x-5)

y=-2/5x+10/5-2

y=-2/5x+2-2

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4 0
3 years ago
Jeremy will roll a number cube, numbered 1-6, twice. What is the probability of rolling an even number, then the number 3?
WITCHER [35]

For the even number it would be I think a 6/6 chance for the three a 2/6 chance.

4 0
3 years ago
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