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3 years ago

HELP ME!!! Which of the following expressions is equivalent to 16x2 + 6x + 8?

Mathematics

1 answer:

Kisachek [45]3 years ago

6 0

That’s 46 That’s The answer

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Hey so.... do any of you guys have brainly plus l can use for my homework!!!!!

Aleks04 [339]

Answer:

ha? maybe

Step-by-step explanation:

amm im not really sure

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3 years ago

If 4x - 8 = 4 , find the value of x

Wittaler [7]

Answer:

x=3

Step-by-step explanation:

4x-8=4

4x=12

4x/4=12/4

x=3

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3 years ago

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Find the length of the ladder if the distance from the bottom of the ladder to the building is 9 feet.

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4 years ago

What is 37,370 to the nearest ten thousand?

astraxan [27]

Answer:

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3 years ago

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HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)

meriva

Given:

x-intercepts of the hyperbola are ±4.

The foci of hyperbola are $\pm 2\sqrt{5}$ .

Center of the hyperbola is at origin.

To find:

The equation of the hyperbola.

Solution:

The general equation of a hyperbola:

$\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1$ ...(i)

Where, (h,k) is the center of the hyperbola, ±a are x-intercepts, $(\pm c,0)$ are foci.

Center of the hyperbola is at origin. So, h=0 and k=0.

x-intercepts of the hyperbola are ±4. So,

$\pm a=\pm 4$

$a=4$

The foci of hyperbola are $\pm 2\sqrt{5}$ .

$\pm c=\pm 2\sqrt{5}$

$c=2\sqrt{5}$

We know that,

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

$(4)^2+b^2=(2\sqrt{5})^2$

$16+b^2=20$

$b^2=20-16$

$b^2=4$

Taking square root on both sides, we get

$b=\sqrt{4}$ [b>0]

$b=2$

Substituting $h=0,k=0,a=4,b=2$ in (i), we get

$\dfrac{(x-0)^2}{4^2}-\dfrac{(y-0)^2}{2^2}=1$

$\dfrac{x^2}{4^2}-\dfrac{y^2}{2^2}=1$

Therefore, the correct option is (d).

4 0

3 years ago