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3 years ago

Find the slope of the equation

Mathematics

2 answers:

alisha [4.7K]3 years ago

4 0

-2.5 is the slope and the equation is y=-2.5+9 hope this helps

White raven [17]3 years ago

4 0

Slope is negative 2.5

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MZJNM = 103°. Find mZJNK 2 * 24 32 K M L

just olya [345]

Answer:

m<ZJNK=47°

Step-by-step explanation:

m<ZJNK=103°-24°-32°=47°

8 0

3 years ago

PLEASE HELP I DO NOT UNDERSTAND AT ALL ITS PRECALC PLEASE SERIOUS ANSWERS

Elina [12.6K]

You want to end up with $A\sin(\omega t+\phi)$ . Expand this using the angle sum identity for sine:

$A\sin(\omega t+\phi)=A\sin(\omega t)\cos\phi+A\cos(\omega t)\sin\phi$

We want this to line up with $2\sin(4\pi t)+5\cos(4\pi t)$ . Right away, we know $\omega=4\pi$ .

We also need to have

$\begin{cases}A\cos\phi=2\\A\sin\phi=5\end{cases}$

Recall that $\sin^2x+\cos^2x=1$ for all $x$ ; this means

$(A\cos\phi)^2+(A\sin\phi)^2=2^2+5^2\implies A^2=29\implies A=\sqrt{29}$

Then

$\begin{cases}\cos\phi=\frac2{\sqrt{29}}\\\sin\phi=\frac5{\sqrt{29}}\end{cases}\implies\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)$

So we end up with

$2\sin(4\pi t)+5\cos(4\pi t)=\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)$

8 0

3 years ago

Read 2 more answers

Carrie works due south of her apartment. Her friend Sarah works due east of the

Zarrin [17]

Answer:

3 miles

Step-by-step explanation:

5-1+2=3

4 0

3 years ago

NEED HELP PLEASE!! 3 to the power of 4 + 2 ⋅ 5 = ____. (Input whole numbers only.)

olya-2409 [2.1K]

3^4 + 2 * 5 = 91

The answer is 91.

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4 years ago

In Still Water, Peters Boat Goes 4 Times as Fast as the Current of the River. He Took a Trip 15 Miles Up the River, Then Came Ba

inn [45]

Answer:

2 km/h

Step-by-step explanation:

Let

Rate of river current = x km/h

Speed of Peter's boat = 4x km/h

He takes 15 km trip up (opposite direction)

His speed upstream = 4x - x

= 3x

His speed is 3x and distance is 15 km

Time = Distance / Speed

15/3x

= 5/x

And

Moving downstream (same direction)

Speed will be 4x + x = 5x

Distance = 15km,

speed = 5x

Time = Distance / Speed

= 15/5x

= 3/x

Total time take for trip = 4 hours

Total time take for trip = upstream + downstream

4 =5/x + 3/x

4 = 8/x

Cross product

4 * x = 8

x = 8/4

x = 2

Rate of river current = x km/h

= 2 km/h

3 0

3 years ago

Find the slope of the equation ​

Find the slope of the equation