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ankoles [38]
3 years ago
8

Write an equation in point-slope form.

Mathematics
1 answer:
adoni [48]3 years ago
5 0
First: let (8,3) be the coordinates of the point A
so equation of straight: y-yA=slope(x-xA)
y-3=6(x-8)
second: y-yB=slope(x-xB)
y-(-5)=-2/5(x-(-3))
y+5=-2/5(x+3)
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Which phrases describe the relationship between heart rate and daily intake of caffeine? Check all that apply.
slavikrds [6]

I presume that the graph below is the given for this specific problem since I've already taken this question, so please see the attached image.

So, the phrases that describe the relationship between heart rate and daily intake of caffeine according to the graph are:

1. increasing heart rate
2. positive correlation

7 0
4 years ago
You invest $3756 and by 100 shares of a company stock Serratto increases by 12% how much share worth
ehidna [41]

Answer:

450.72%

Step-by-step explanation:

First:) 3756 x 12

Second:)45072 ÷ 100

Answer:)450.72%

8 0
3 years ago
Q.04: (11 points) Given the polar curve r = e θ , where 0 ≤ θ ≤ 2π. Find points on the curve in the form (r, θ) where there is a
Citrus2011 [14]

I suppose the curve is r(\theta)=e^\theta.

Tangent lines to the curve have slope \frac{dy}{dx}; use the chain rule to get this in polar coordinates.

\dfrac{dy}{dx}=\dfrac{dy}{d\theta}\dfrac{d\theta}{dx}=\dfrac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}}

We have

y(\theta)=r(\theta)\sin\theta\implies\dfrac{dy}{d\theta}=\dfrac{dr}{d\theta}\sin\theta+r(\theta)\cos\theta

x(\theta)=r(\theta)\cos\theta\implies\dfrac{dx}{d\theta}=\dfrac{dr}{d\theta}\cos\theta-r(\theta)\sin\theta

r(\theta)=e^\theta\implies\dfrac{dr}{d\theta}=e^\theta

\implies\dfrac{dy}{dx}=\dfrac{e^\theta\sin\theta+e^\theta\cos\theta}{e^\theta\cos\theta-e^\theta\sin\theta}=\dfrac{\sin\theta+\cos\theta}{\cos\theta-\sin\theta}

The tangent line is horizontal when the slope is 0, which happens wherever the numerator vanishes:

\sin\theta+\cos\theta=0\implies\sin\theta=-\cos\theta\implies\tan\theta=-1

\implies\theta=\boxed{-\dfrac\pi4+n\pi}

(where n is any integer)

The tangent line is vertical when the slope is infinite or undefined, which happens when the denominator is 0:

\cos\theta-\sin\theta=0\implies\sin\theta=\cos\theta\implies\tan\theta=1

\implies\theta=\boxed{\dfrac\pi4+n\pi}

6 0
4 years ago
Find the 7th term in the sequence using the rule: avn=n^2-5<br> A) 44<br> B) 9<br> C) 27<br> D) 4
AURORKA [14]

Answer:

A) 44

Step-by-step explanation:

an=n^2-5

n is the term number

a7 = 7^2 -5

a7 = 49 -5

a7 = 44

8 0
3 years ago
In slope-intercept form, what is the equation of the line
dsp73

Answer:a

Step-by-step explanation:

6 0
3 years ago
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