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timofeeve [1]
2 years ago
12

VIIIe in the standard (x,y) coordmate pralit nas

Mathematics
1 answer:
Savatey [412]2 years ago
7 0

The coordinates of point B are (-4 , -2) ⇒ answer H

Step-by-step explanation:

In any circle

  • The diameter of the circle passing through its center
  • The center of the circle is the mid-point of all diameters

If (x , y) are the coordinates of the mid-point of a line whose end

points are (x_{1},y_{1}) and (x_{2},y_{2}) , then

x=\frac{x_{1}+x_{2}}{2} and y=\frac{y_{1}+y_{2}}{2}

∵ Point C is the center of a circle

∵ AB is the diameter of the circle

∴ C is the mid point of AB

∵ A = (2 , 6) ⇒ (x_{1},y_{1})

∵ B = (x_{2},y_{2})

∵ C = (-1 , 2) ⇒ (x , y)

- Use the rule of the mid-point above

∵ -1=\frac{2+x_{2}}{2}

- Multiply both sides by 2

∴ -2 = 2 + x_{2}

- Subtract 2 from both sides

∴ x_{2} = -4

∴ The x-coordinate of point B is -4

∵ 2=\frac{6+y_{2}}{2}

- Multiply both sides by 2

∴ 4 = 6 + y_{2}

- Subtract 6 from both sides

∴ y_{2} = -2

∴ The y-coordinate of point B is -2

The coordinates of point B are (-4 , -2)

Learn more:

You can learn more about the circle in brainly.com/question/9510228

#LearnwithBrainly

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A grocery store paid $85 for 4 crates of milk. How much was one crate of milk?​
Ivan

Answer:

21.25

Step-by-step explanation:

85÷4=21.25

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WILL GIVE BRAINIEST Which of the following is NOT a perfect square? Question 3 options: 36 25 49 81 35 144 100
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Answer:

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Step-by-step explanation:

The way I know is because I memorized every square up to 33.

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Remember that every perfect square has an odd number of factors. I'm not going to list them all out, but the factors of 35 are 1, 5, 7, and 35, giving it an even number of factors. All the rest have an odd number of factors because of the property of a perfect square: a number times itself gives a perfect square, but that number only counts as 1 factor.

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3 years ago
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serious [3.7K]

Answer: y-int ( 0, 0.4 )      x-int ( 0.3, 0 )

Step-by-step explanation:

Given in the graph

X axis and Y axis.

5 0
3 years ago
Read 2 more answers
A jar contains 5 orange marbles, 3 black marbles, and 6 brown marbles. event a = drawing a brown marble on the first draw event
tino4ka555 [31]

The probability of event A and event B IS  15/91.

What is the probability?

Probability determines the odds that a random event would occur. The odds lie between 0 and 1.

The probability of event A  = number of brown marbles / total number of marbles

= 6/14

The probability of event B = number of orange marbles / total number of marbles -1

= 5/13

P(A and B) =6/14 x 5/13

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7 0
1 year ago
A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in t
Zinaida [17]

Answer:

a) p(x) = 300 - 3

b) P(x) = -3 x² + 285 x

c) Price of per room per day  = $ 157.5

when Number of rooms occupied , x = 47.5

Step-by-step explanation:

Given - A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in the charge per room per day, one more room is vacant. Each occupied room costs an additional $15 per day to maintain.

To find - a) Find the demand function, expressing p, the price charged for each room per day, as a function of x, the number of rooms occupied.

             b) Find the profit function P(x).

             c) Find the price of per room per day the motel should charge in order to maximize its profit.

Proof -

a)

Let

(x, y) be the point

where x represents number of rooms occupied

and y represents price of room per day.

Now,

Given that,

a room is priced at $60 per day, all 80 rooms of the motel are occupied.

So, point becomes (80, 60)

And  given that For every $3 rise in the charge per room per day, one more room is vacant.

So, point becomes (79, 63)

Now, we have two points (80, 60), (79, 63)

Let us assume that,

p(x) be the price charged for each room per day

Now,

By using point - slope formula , we get

p -60 = \frac{(63 - 60}{(79 - 80)} (x - 80)

⇒p -60 = (-3)(x-80)

⇒p-60 = 240 -3 x

⇒p(x) = 240 + 60 -3 x

⇒p(x) = 300 - 3 x

b)

Given that,

Each occupied room costs an additional $15 per day to maintain.

Let C(x) be the cost function,

Then C(x) =15 x

now,

Revenue function,

R(x) =x*p

      = x*(300 -3 x )

      = 300 x - 3 x²

⇒R(x) = 300 x - 3 x²

Now,

We know

Profit function = Revenue function - Cost function

⇒P(x) = R(x)-C(x)

⇒P(x) = (300 x -3 x²) -15 x

⇒P(x) = -3 x² + 285 x

c)

P'(x) = -6 x +285

For Maximize profit , Put P'(x) = 0

⇒-6 x+ 285 =0

⇒6 x= 285

⇒x = \frac{285}{6}

⇒x= 47.5

∴ we get

Maximize profit is when price, p = 300 - 3x

                                                      = 300 -3(47.5)

                                                      = $157.5

⇒Price of per room per day  = $ 157.5

when Number of rooms occupied , x = 47.5

5 0
2 years ago
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