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4 years ago

14.2 is 35.5% of what number W

Mathematics

1 answer:

bonufazy [111]4 years ago

3 0

14.2/x=100/35.5
5.041=x
Final
35.5% of 14.2=5.041

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Please help me choose correct answer

Radda [10]

You just multiply the option amounts :) 4x2x7x3=168

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4 years ago

Which statements about the hyperbola are true? Check all that apply. A. There is a focus at (0,−10). B. There is a focus at (0,

hichkok12 [17]

Answer:

A. There is a focus at (0,−10).

Step-by-step explanation:

Assume the hyperbola is like the one below.

The hyperbola is vertical and centred on the y-axis, so its general equation is

$\dfrac{y^{2}}{a^{2}} - \dfrac{x^{2}}{b^{2}} = 1$

The vertices of your parabola are (0,±8) so a = 8.

The covertices are (±6,0), so b = 6.

Calculate c

$\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\8^{2} + 6^{2} & = & c^{2}\\64 + 36 & = & c^{2}\\100 & = & c^{2}\\c & = & \mathbf{10}\\\end{array}$

A. Foci

The foci are at (0, ±c) = (0, ±10)

TRUE. There is a focus at (0,-10).

B. Foci

The foci are at (0,±10).

False. There is no focus at (0,12)

C. and D. Asymptotes

The equations for the asymptotes are

$y = \pm\dfrac{a}{b}x = \pm\dfrac{8}{6}x = \pm\dfrac{4}{3}x$

So, y = ±x are not asymptotes.

False.

E. and F. Directrices

The equations of the directrices are

y = ±a²/c = ±64/10 = ±6.4

y = 6.4 is a directrix.

E is false. x = cannot be a directrix

F is uncertain. Your equation for the directrix is incomplete.

3 0

4 years ago

A1=-3 and an= an-1+7

lubasha [3.4K]

Step-by-step explanation:

The answer is an = 7n - 10.

7 0

3 years ago

What is the slope of the line 3 + 4x = 2y - 9

SSSSS [86.1K]

Hello!

Ok so ideally we would like to see this in y=mx+b form. But it will take some algebreic skills to ninja our way through this.

I'll show my steps so you can follow,

3+4x = 2y - 9 (original equation)

Next we just add 9 to both sides,

12 + 4x = 2y, now we can divide both sides by 2,

y=2x+6 as our final equation. This is in y=mx+b form, thus the slope of our line is 2 because the 2 is sitting in the m space of the equation. If you still dont understand linear stuff, I'd google slope-intercept form

Hope this helped!

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4 years ago

What is the square root of 78

Pavel [41]

The square root of 78 is an irrational number, so the exact number
can't be written down, no matter how long you make the decimal.

If I say it's 8.8318, then my answer is too big, but only by about 0.0004 percent.

8 0

3 years ago

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