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2 years ago

I NEED THE ANSWER ASAP!!!

Mathematics

2 answers:

iren2701 [21]2 years ago

6 0

Answer:

b i think

Step-by-step explanation:

Nimfa-mama [501]2 years ago

6 0

Either A or D, depending on what c represents.

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Suppose a circle with center (14,9) passes through point (16, 12). Which equation represents the circle?

kifflom [539]

Answer:

( x - 14)^2 + ( y - 9)^2 = 13

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( 14 , 9) - center-( a, b)

a = 14

b = 9

( 16 , 12) - point - ( x, y)

x = 16

y = 12

Step 1: substitute the center into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

Step 2: substitute the point into the equation

( x - 14)^2 +( y - 9)^2 = r^2

( 16 - 14)^2 + ( 12 - 9)^2 = r^2

2^2 + 3^2 = r^2

4 + 9 = r^2

13 = r^2

Step 3: subs the radius into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

( x - 14)^2 + (y - 9)^2 = 13

Therefore, the equation of the circle is

( x - 14)^2 + ( y - 9)^2 = 13

8 0

2 years ago

How to solve derivative of (sin3x)/x using first principle

Leona [35]

$\dfrac{d}{dx}(\dfrac{\sin(3x)}{x})$

First we must apply the Quotient rule that states,

$(\dfrac{f}{g})'=\dfrac{f'g-g'f}{g^2}$

This means that our derivative becomes,

$\dfrac{\dfrac{d}{dx}(\sin(3x))x-\dfrac{d}{dx}(x)\sin(3x)}{x^2}$

Now we need to calculate $\dfrac{d}{dx}(\sin(3x))$ and $\dfrac{d}{dx}(x)$

$\dfrac{d}{dx}(\sin(3x))=\cos(3x)\cdot3$

$\dfrac{d}{dx}(x)=1$

From here the new equation looks like,

$\dfrac{3x\cos(3x)-\sin(3x)}{x^2}$

And that is the final result.

Hope this helps.

r3t40

7 0

2 years ago

Read 2 more answers

What is cot x(sin^2x+cos^2x)

shusha [124]

Answer:

cot(x)

Step-by-step explanation:

$cot\theta(sin^2\theta+cos^2\theta)$

$cot\theta(1)$

$cot\theta$

Recall the Pythagorean Identity $sin^2x+cos^2x=1$

6 0

1 year ago

Find the probability of each event. A gambler places a bet on a horse race. To win, he must pick the top three finishers in any

Lina20 [59]

Answer: $\dfrac{1}{56}$

Step-by-step explanation:

Total horses = 6

Number of ways to choose top 3 finishers in order = 3! = 6

Number ways to select 3 horses out of 8 in order = $^8P_3$ [By permutations]

$=\dfrac{8!}{(8-3)!}=\dfrac{8!}{5!}=8\times7\times6=336$

Now, the probability that the gambler will win his bet =

$\dfrac{\text{Number of ways to choose top 3 finishers }}{\text{Number ways to select 3 horses out of 8 in order}}$

$=\dfrac{6}{336}\\\\=\dfrac{1}{56}$

Hence, the required probability = $\dfrac{1}{56}$

3 0

2 years ago

If a car moves at a speed of 80 km/h for 5 hours, what distance will it travel?

jarptica [38.1K]

S = D/t

D = S×t

D = 80km/h×5h = 400 km

8 0

2 years ago

Read 2 more answers