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OlgaM077 [116]
3 years ago
10

Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form. (-3,0) (0,5)

Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

Answer:

y= (5/3) x + 5

Step-by-step explanation:

y = mx + b

m = (5 - 0)/(0 - (-3)) = 5/3

y = (5/3)x + b

b = 0-(5/3)(-3) = 5

y = (5/3)x + 5

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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
3 years ago
What +1/16 = 3/2 answer please
Law Incorporation [45]

Answer:

1   7/16

Step-by-step explanation:

5 0
2 years ago
Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can?
Naddika [18.5K]
Check the picture below.

so, a cone, that fits inside the cylinder, will have the same height "h" and radius "r".  Thus


\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad \boxed{\pi r^2 h}=15
\\\\\\
\textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\implies V=\cfrac{\boxed{15}}{3}

8 0
3 years ago
Help with this please!
slega [8]

Hello,

No, this is NOT a proportional relationship.

Have a great day/night and stay safe! :)

8 0
3 years ago
Read 2 more answers
A fruit basket is filled with 888 bananas, 333 oranges, 555 apples, and 666 kiwis.For every 3 kiwis, there are 4_
Novosadov [1.4K]

Answer:

I think it's bananas

Step-by-step explanation:

4 0
2 years ago
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