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irga5000 [103]
3 years ago
12

The equation (x - h)^2 + (y - k)^2 = r^2? defines a circle with radius r and center (h, k). Find the center and radius AND graph

the circle on the x-y coordinate plane. (x - 1)2 +(y + 3)2 = 25.​
Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

9514 1404 393

Answer:

  • center: (1, -3)
  • radius: 5

Step-by-step explanation:

Comparing the two given equations, we see ...

  h = 1

  k = -3

  r = √25 = 5

The center is (1, -3), and the radius is 5.

You might be interested in
Sue has 20 biscuits in a tin There are 12 plain biscuits 5 chocolate biscuits 3 currant biscuits Sue takes at 2 random biscuits
vagabundo [1.1K]

Answer:

111 / 190

Step-by-step explanation:

Total biscuits = 20

Plain, P = 12

Chocolate, C = 5

Currant, K = 3

Assume without replacement :

Probability that biscuit are of the same type :

P(plain) :

12 / 20 * 11 / 19 = 132 / 380

P(chocolate) :

5/ 20 * 4 / 19 = 20/ 380

P(currant) :

3/20 * 2 /19 = 6 / 380

Therefore,

Probability that biscuit is of the same type :

P(plain) + P(chocolate) + P(currant)

132/380 + 20/380 + 6/380

158 / 380 = 79 / 190

Therefore, probability that biscuit aren't of the same type :

1 - P(biscuit is of same type)

1 - 79/190

(190 - 79) / 190

111 / 190

7 0
2 years ago
What is the answer?
Bad White [126]

Answer:

k=3

Step-by-step explanation:

+ we note f(p)= p^{4}+p^{2}  +p -k

+ Because of "p-1 is a factor of f(p)", that means f(p)= (p-1)* g(p)

Then we have f(1)= (1-1)*g(1)= 0* g(1)= 0

+ We replace p=1 in f(p) and we have:

f(1)=0

that means: 1^{4}+1^{2} + 1 - k=0

then 1+1+1-k = 0, 3-k=0 or k=3

Hope that useful for you.

8 0
2 years ago
The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given by the linear funct
Zolol [24]

Answer:

Slope, m = 1100

y-intercept,c = 2491                                                            

Step-by-step explanation:

We are given the following in the question:

y(x) = 1100x + 2491

The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.

Comparing the above equation, to a general linear equation, we have,

y = mx + c

where m is the slope and c is the y-intercept.

Comparing we get,

Slope, m = 1100

y-intercept,c = 2491

Interpretation:

  • The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
  • The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.

6 0
3 years ago
A die is tossed. Find p(less than 5/even)
Anestetic [448]

Answer:6/36

Step-by-step explanation:

3 0
3 years ago
Jean bought a bag of candy that contained red candies, green candies, and brown candies. Some candies are marked with a smile an
lana66690 [7]
                   | Red    |Green  | Brown   Total
<span>Smile         |0.100  | .300    | .10           0.50</span>
<span>No smile   |0.200  | .150    | .15            0.50
Total           0.30       0.45      0.25         1.00

The probability of choosing red candy is 0.10
The probability of choosing no smile candy is 0.50

The probability of choosing red or no smile = 0.10 + 0.50 = 0.60

I did not use 0.30 as the probability of red because it included the no smile candy. It should only be red candy that has a smile.</span>
6 0
3 years ago
Read 2 more answers
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