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4 years ago

11

Find using the square roots. A box is 4in. high. Its length is 1.5 times its width. The volume of the box is 1350 in.^2. What ar

e the width and lengh of box?

1 answer:

ZanzabumX [31]4 years ago

7 0

width and lenth jope tios jepsthe box.fis prettyy fat so 1000000000000000000 n

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Translate the phrase into an algebraic expression. The product of 5 and x

LekaFEV [45]

Answer:

5x.

Step-by-step explanation:

The product of 5 and x is the same thing as asking what is 5 times x.

That is 5 * x = 5x.

Hope this helps!

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The mixed numbers 2(2/5)can be expressed as

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Answer:

12/5

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the answer can be found by multiplying the whole number, 2, by the denominator of 5, then adding it to the numerator to get 12.

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3 years ago

Select all of the following that are linear functions.

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Step-by-step explanation:

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3 years ago

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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 are the x-intercepts for the function shown in the graph?

rjkz [21]

Answer:

-1 and 3

Step-by-step explanation:

The x intercepts are where the graph crosses the x axis.

Looking at the graph it crosses at two points

x = -1 and x=3

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3 years ago

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