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3 years ago

Find an equation of the circle whose diameter has endpoints (5,−6) and (1,3)

Mathematics

1 answer:

enot [183]3 years ago

3 0

Answer:

x^2 + y^2 - 6x + 3y -13 =0

Step-by-step explanation:

we have formula when endpoints of diameter of circle are given.

(x-x1)(x-x2)+(y-y1)(y-y2)=0

put value of x1,x2 and y1 and y2.

=(x-5)(x-1) + {y-(-6)}(y-3)=0

=(x^2 -x - 5x +5) + ( y+6)(y-3)=0

=x^2 - 6x +5 + y^2 - 3y +6y - 18=0

=x^2 + y^2 - 6x + 3y -13=0

required equation..

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The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min

Deffense [45]

Answer:

f'(t) is negative

The unit is degC/min

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

Step-by-step explanation:

From the question we are told we are told that

The equation for the temperature of a cup of coffee place on a counter is

$H= f(t)$

Here t is the time in minutes the coffee was put on the counter

Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time

Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative

Generally the unit of the temperature is in degrees Celsius while that of time is in minutes

So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)

From the question we are told that

$|f(35)'| = 1.5$

i.e the rate of change of temperature after 35 minutes is 1.5

and

$|f(35)| = 68$

i.e the temperature of the cup of coffee after 35 minutes is 67 degC

Now after another t= 30 seconds = $\frac{30}{60}= 0.5 \ minutes$ the rate of change of the temperature of the cup of coffee is

$R = |f(35)'| * t$

=> $R = 1.5 * 0.5$

=> $R = 0.75$

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

5 0

3 years ago

Solve for D Thanks!!

Verizon [17]

Answer:

The answer is d = C/pi.

Step-by-step explanation:

To solve this equation for the variable d, we must isolate it on the right side of the equation. It is currently being multiplied by pi, so to reverse this action, we should divide both sides of the equation by pi.

c = (pi) * d

c/pi = pi/pi * d

c/pi = d

d = c/pi

Therefore, the answer is d = C/pi.

Hope this helps!

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Phantasy [73]

Answer:120°

Step-by-step explanation:

sum of exterior angles=360

In a triangle we have 3 exterior angles

Size for each exterior angle=360/3

Size for each exterior angle=120°

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Arisa [49]

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Step-by-step explanation:

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