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kogti [31]
4 years ago
5

What is the equation of the circle with center (1,1) that passes through the point (-3,4)?

Mathematics
1 answer:
MakcuM [25]4 years ago
3 0

Answer:

(x - 1)2 + (y - 1)² = 5²

Step-by-step explanation:

Adapt the standard equation of a circle with center at (h, k) and radius r:

(x - 1)^2 + (y - 1)^2 = r^2

Here one point on the circle is (-3, 4), and so the radius is √[(-3)² + 4² ] = 5

Thus, the desired equation is:

(x - 1)^2 + (y - 1)^2 = 5^2      or     (x - 1)2 + (y - 1)² = 5²

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kurt swims 575 yards at each swim practice. if he practices monday wensday and friday about how may yards will he swim in a wek
Mashcka [7]
1,725 yards, because 575×3=1,725. Or 575+575+575=1,725
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Kira's store collects 5% sales tax on every item sold. If she collected $22 in sales tax, what was the cost of the items her sto
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7 0
4 years ago
In a group of equal number of men and women 10% men and 45% women are suffering from Malaria.What is probability a peraon select
Kaylis [27]

Answer:

The probability a person selected random is not suffering from Malaria  is 0.725.

Step-by-step explanation:

Denote the events as follows:

X = a person is suffering from Malaria

M = a man

W = a woman

The information provided is:

P (M) = P (W) = 0.50

P (X|M) = 0.10

P (X|W) = 0.45

Compute the probability a person selected random is suffering from Malaria as follows:

P(X)=P(X|M)P(M)+P(X|W)P(W)

         =(0.10\times 0.50)+(0.45\times 0.50)\\\\=0.05+0.225\\\\=0.275

Then the probability a person selected random is not suffering from Malaria  is:

P (X') = 1 - P (X)

         = 1 - 0.275

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4 0
3 years ago
The circumference of a standard baseball is about 9in. About how many square inches of horsehide are required to cover 100 balls
Marta_Voda [28]
This is the concept of area of solid materials, we are required to calculate the total area of horsehide that is required to cover 100 balls with each having a circumference of 9 in.
The area of hide required will be given by:
area=(area of each ball)*(total number of balls)
area of each ball is given by:
SA=4πr^2
given that the circumference is 9in, we are required to find the radius of the ball
Circumference, c=2πr
thus;
9=2πr
r=9/(2π)
r=1.4 in
Therefore the surface area will be:
SA=4π*1.4^2=24.6 in^2
Therefore the area of horsehide required to cover 100 balls will be:
Area=24.6*100=2,460 in^2.
5 0
3 years ago
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