All categories

3 years ago

What is the equation of the circle with center (4, 4) that passes through the point (10, 14)?

Mathematics

2 answers:

zhuklara [117]3 years ago

7 0

Answer:

The answer to your question is (x - 4)² + (y - 4)² = 136

Step-by-step explanation:

Data

C (4, 4)

P (10, 14)

Process

1.- Calculate the distance from the center to the point

dCP = $\sqrt{(10 - 4)^{2} + (14 - 4)^{2}}$

dCP = $\sqrt{6^{2} + 10^{2}}$

dCP = $\sqrt{36 + 100}$

dCP = $\sqrt{136}$

2.- Calculate the equation of the circle

( x - 4)² + (y - 4)² = ( $\sqrt{136}$ )²

(x - 4)² + (y - 4)² = 136

Anna11 [10]3 years ago

3 0

Answer:

(x - 4)² + (y - 4)² = 136 is the answer.

You might be interested in

You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replaci

elena-s [515]

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

7 0

2 years ago

What is the area of the composite figure? _______ cm2 pls and ty

LuckyWell [14K]

The length of line in green = 5 cm
the length of line in yellow = 3 cm
the length of line in red = 6 cm
the length of line in white = 16 cm
the total area = 100 + 12 + 12 + 20 + 24 + 96 = 264 cm2

3 0

3 years ago

Read 2 more answers

I need some help!!!!!!!!!!!!!!!!!!!!!!!

vampirchik [111]

Step-by-step explanation:

We are dealing with theoretical probability. This means that our probability of said outcome is

$\frac{x}{y}$

where x is the outcome we want, and y is the total number of outcomes possible.

28. There is 3 triangles out of 6 polygons so the probability is 1/2.

29.There is 1 Pentagon so the probability is 1/6.

30. This is a complement to question 28. A complement is the inverse of the problem. A complement and its original add to 1 so the probability of both getting a triangle is 1/2.

31. There is 4 non quadraletrial so the probability is 2/3.

32. There is 3 figures that has more sides than three so 1/2 is the probability.

33.There is only multi right angles figures so 1/2 is the probability.

34. There is 30 days in April so the probability it's the 29th is

$\frac{1}{30}$