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3 years ago

Arthur travels for 3 hours on the freeway. His average speed is 55 mi/hr. How far does he travel?

Mathematics

2 answers:

ioda3 years ago

4 0

Answer:

He travels 165 miles

Step-by-step explanation:

3 × 55=165

Anton [14]3 years ago

4 0

165 miles is the answer

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16: Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the Hyperbola y^2-16x

Morgarella [4.7K]

Answer:

Foci $(0,\pm\frac{\sqrt{17}}{4})$

Vertices: $(0,\pm 1)$

Eccentricity, e= $\frac{\sqrt{17}}{4}$

Length of latus rectum= $\frac{1}{8}$

Step-by-step explanation:

We are given that

$y^2-16x^2=1$

$y^2-\frac{x^2}{(\frac{1}{4})^2}=1$

The equation of hyperbola is along y-axis because y is positive

Compare the equation with

$y^2/a^2-x^2/b^2=1$ (Along y-axis)

We get

a=1, b=1/4

$a^2+b^2=c^2$

$1+\frac{1}{16}=c^2$

$\frac{16+1}{16}=c^2$

$c^2=\frac{17}{16}$

$c=\pm \frac{\sqrt{17}}{4}$

Therefore,

The coordinates of foci= $(0,\pm c)=(0,\pm\frac{\sqrt{17}}{4})$

The coordinated of vertices= $(0,\pm a)=(0,\pm 1)$

Eccentricity, e=c/a

$e=\frac{\frac{\sqrt{17}}{4}}{1}=\frac{\sqrt{17}}{4}$

Length of latus rectum= $\frac{2b^2}{a}$

Length of latus rectum= $2\times \frac{1}{16}=\frac{1}{8}$

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3 years ago

What is the measure of the angle?

AveGali [126]

We know the full protractor measures 180 degrees.

We need to know what angle it is on. By looking at it, it looks like it is on 135.

180-135= 45

The angle is 45 <em>degrees.

I hope this helps!
~kaikers</em>

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Answer:

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Jobisdone [24]

Answer:

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