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3 years ago

The endpoint of a diameter of a circle are (-4,2) and (12,10). What is the y-coordinate for the center of the circle

Mathematics

1 answer:

gavmur [86]3 years ago

8 0

Answer:

Step-by-step explanation:

The center of the circle is the midpoint of the diameter. The midpoint can be found by averaging the coordinates of the end points:

((-4, 2) +(12, 10))/2 = ((-4+12)/2, (2+10)/2) = (4, 6)

The y-coordinate of the center is 6.

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St=20 and s lies at 5 where could t be located ?

vovikov84 [41]

T could be located at 15 because 5 plus 15 equals 20

4 0

3 years ago

g There are 3 signal transmitters T1,T2 and T3. Each one sends a signal to a receiver R and R sends three signals back to the th

ANEK [815]

Answer:

Recall that probability is given as; the number of required outcome over the number of total possible outcome.

The probability that a transmitter receives the signal being sent by itself is given as $\frac{1}{3}$ .

when there are n transmitters, the probability will be given as $\frac{1}{n}$

Step-by-step explanation:

Probability simply the likelihood of an event occurring or not occurring.

Probability therefore is given as; the number of required outcome over number of possible outcome.

In the case of the first part above we have the number of required outcome to be at least one divided by the number of possible outcome which is 3.

while in the second part we have the number o possible outcome to be n.

7 0

3 years ago

At 12 noon in anchorage Alaska Janice noticed that the temperature outside was 12

Alisiya [41]

I assume that you want to know the temperature at a certain timing.
Well, you know that at 12:00 pm, the temperature was 12 F and that it decreases by a steady rate of 2 F each hour.

This means that at 1:00 pm, the temperature was 12-2 = 10 F
At 2:00 pm, the temperature was 10-2 = 8 F
At 3:00 pm, it was 8-2 = 6 F
.......and so on

You can follow this sequence to the timing you are looking for.

7 0

3 years ago

What are the key aspects of the graph of f(x) = x2 - 62,<br> where b is a real number?

8090 [49]

Answer:

The x intercepts are b , - b

The y-intercept is - b²

The vertex is (0 , - b²)

The axis of symmetry of the function is the y-axis

Step-by-step explanation:

* Lets explain the key aspects of the quadratic function

- There are many key aspects in a quadratic graph such as:

# x-intercepts

# y-intercept

# The vertex

# Axis of symmetry

* Lets solve the problem

∵ f(x) = x² - b² is a quadratic function

∵ The general form of the quadratic function is f(x) = Ax² + B(x) + C

where A , B , C are constant

∴ A = 1 , B = 0 , C = -b²

- To find the x-intercept put f(x) = 0

∵ f(x) = x² - b²

∴ x² - b² = 0 ⇒ add b² for both sides

∴ x² = b² ⇒ take √ for both sides

∴ x = ± b

∴ The x intercepts are b , - b

- To find the y-intercept put x = 0

∵ f(x) = x² - b²

∴ f(0) = 0 - b²

∴ f(0) = - b²

∴ The y-intercept is - b²

- The vertex of the function is (h , k) where h = -B/2A and k = f(h)

∵ A = 1 and B = 0

∴ h = 0/2(1) = 0

∵ k = f(h)

∴ k = f(0) = 0 - b² = - b²

∴ k = - b²

∴ The vertex is (0 , - b²)

- The axis of symmetry of the quadratic function is a vertical line

passes through the vertex of it and its equation is x = h

∵ h = 0

∴ The equation of the axis of symmetry is x = 0

∵ The equation of the y-axis is x = 0

∴ The axis of symmetry of the function is the y-axis

7 0

3 years ago

What is the perimeter of a square with side length (2x-3)?

Elis [28]

Answer:

Perimeter = 8x - 12

Step-by-step explanation:

The perimeter of a square is:

p = 4(side length)

on this case:

p = 4(2x-3)

p = 4*2x + 4*-3

p = 8x - 12

7 0

3 years ago