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2 years ago

Write the equation of a circle whose center is at (-1,5) and radius is 8

Mathematics

1 answer:

labwork [276]2 years ago

6 0

Answer:

X²+y²+2x-10y+18=0 is the equation of circle

Step-by-step explanation:

Eqn of circle is: (x-h) ²+(y-k)²=r²

At (h, k) =(-1,5) and r=8 where h, k are center and r is radius.

Eqn is :(x+1)²+(y-5)²=8²

Or, x²+2x+1+y²-10y+25=8

Or, x²+y²+2x-10y+18=0 is the equation of circle

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Clarance has a 25% off coupon for a tune-up at Quick Service Auto Repair. If a tune-up is regularly $50, what is the sale price?

zvonat [6]

Answer:

$37.50

Step-by-step explanation:

50*.25=12.50

Take $50 - 12.50 = 37.50

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3 years ago

Kaitlyn works mowing laws and babysitting. She earns $7.90 an hour for mowing and $6.80 an hour for babysitting. How much will s

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7.90×7=55.30. 6.80×1=6.80. 55.30 + 6.80=62.10 Total

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3 years ago

The length of the base of an isosceles triangle is x. The length of a leg is 4x-6. The perimeter of the triangle is 60. Find x.

lbvjy [14]

Answer:

Perimeter of a triangle = add all sides

Both the legs of the isosceles triangle are always EQUAL.

x+4x-6+4x-6 = 60

9x-12 = 60

9x = 60+12

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2 years ago

A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr

Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

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3 years ago

Choose the two expressions that are equivalent to 6.5 ÷ 1.3.

kenny6666 [7]

Answer:

A & C

Step-by-step explanation:

To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.

Let's begin solving!

65 ÷ 13 = 5

So now we know that A is one of our answers

65 ÷ 130 = 0.5

Not one of our answers because the quotient is not 5

650 ÷ 130 = 5

This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.

Hope this helps you :)

8 0

2 years ago

Read 2 more answers