3 years ago

Solve for x | 2x-1| +4 = 8

Mathematics

1 answer:

Brums [2.3K]3 years ago

5 0

Answer:

x = 2 1/ 2 , − 1 1/2

Step-by-step explanation:

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This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)

beks73 [17]

SOLUTION

From the question, the center of the hyperbola is

$\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}$

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

$\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}$

But equation of a hyperbola is given as

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

Substituting the values of a, b, h and k, we have

$\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}$

Hence the answer is

$\frac{x^2}{1}-\frac{y^2}{3}=1$

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1 year ago

A card is drawn from a standard deck, not replaced, and another is drawn. What is the probability of choosing a heart then a spa

Llana [10]

Answer:

49/52

Step-by-step explanation:

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3 years ago

Is it okay to switch -3 = x - 5 to become -3 = 5 - x?

Zepler [3.9K]

Answer:

No, those are not the same.

Step-by-step explanation:

Assuming x=2,

-3=2-5 is not the same as -3=5-2

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3 years ago

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madreJ [45]

speed is 45 miles per hour. 135/45=3, so the answer is 3hours (A)

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3 years ago

Find the measures of the indicated angle to the nearest degree.

Nata [24]

Answer:

? = 13.6

Step-by-step explanation:

Let unknown angle be x

tan x = p/b

tan x = 8/33

x =tan‐¹(8/33)

or, x = 13.62699486

so, x = 13.6

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3 years ago