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sleet_krkn [62]
2 years ago
9

50 points answer. don't answer just for the points-

Mathematics
1 answer:
Anon25 [30]2 years ago
4 0

Answer:5,-1

Step-by-step explanation:

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Help!!! Find the center and radius of the circle with the equation (x-4)²+(y+6)²=16
WITCHER [35]

Answer:

Center:  (4,-6)

Radius: 4

Step-by-step explanation:

It is necessary to remember that the Equation of the circle in Center-radius form, is:

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

Where the center of the circle is at the point (h, k) and the radius is "r".

Then, given the following equation of the circle:

(x-4)^2+(y+6)^2=16

We can notice that it is written in Center-radius form. Then we can identify that:

h=4\\k=-6

Therefore the center is:

(4,-6)

And the radius is:

r^2=16\\\\r=\sqrt{16}\\\\r=4

5 0
3 years ago
Read 2 more answers
What is the wavelength of a 320 Hz sound traveling 330 m/s?
maw [93]

Answer:1.03125 meter

Step-by-step explanation:

Velocity =330 meter per second

Frequency =320 Hertz

wavelength=velocity ➗ frequency

Wavelength=330 ➗ 320

Wavelength=1.03125 meter

8 0
3 years ago
What equation do you get when you solve z-m=z+bx for x?
Nimfa-mama [501]
X = -m/b.
Subtract z from both side and you get
-m= bx
Now divide both side by b and you get
-m/b= x
8 0
3 years ago
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A survey is made to determine the number of households having electric appliances in a certain city. It is found that 75% have r
Mashcka [7]

Answer:

The probability that a household has at least one of these appliances is 0.95

Step-by-step explanation:

Percentage of households having radios P(R) = 75% = 0.75

Percentage of households having electric irons P(I) = 65% = 0.65

Percentage of households having electric toasters P(T) = 55% = 0.55

Percentage of household having iron and radio P(I∩R) = 50% = 0.5

Percentage of household having radios and toasters P(R∩T) = 40% = 0.40

Percentage of household having iron and toasters P(I∩T) = 30% = 0.30

Percentage of household having all three P(I∩R∩T) = 20% = 0.20

Probability of households having at least one of the appliance can be calculated using the rule:

P(at least one of the three) = P(R) +P(I) + P(T) - P(I∩R) - P(R∩T) - P(I∩T) + P(I∩R∩T)

P(at least one of the three)=0.75 + 0.65 + 0.55 - 0.50 - 0.40 - 0.30 + 0.20  P(at least one of the three) = 0.95

The probability that a household has at least one of these appliances is 0.95

3 0
3 years ago
A rectangular rug has an area of 70 square feet and its width is exactly 3 feet longer than its length. What is the length, in f
LenKa [72]

Answer:

length=7feet.and width =10

8 0
3 years ago
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