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katrin2010 [14]
2 years ago
9

Can someone give me an explanation to hyperbola

Mathematics
2 answers:
OleMash [197]2 years ago
6 0

A hyperbola is an open curve with two branches, the intersection of a plane with both halves of a double cone. The plane does not have to be parallel to the axis of the cone; the hyperbola will be symmetrical in any case.

mafiozo [28]2 years ago
4 0

Answer:

its a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone.

Step-by-step explanation:

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Janette has 386 pennies. 58 nickels and 19 dimes If Janette exchanges her coins for​ dollars, how many dollars will she have? Ho
svet-max [94.6K]

Answer:

$8 ; 66 cents

Step-by-step explanation:

Given that:

Worth of penny, dimes and Nickel in cents and dollars

Nickel, n = 5 cents = $0.05

Dimes, d = 10 cent = $0.1

Penny, p = 1 cent = $0.01

Multiplying the number of each coin with its respective value ;

386(0.01) + 58(0.05) + 19(0.1)

$3.86 + $2.9 + $1.9

= $8.66

Changing it to dollar ,

$8.66 dollars = 8 dollars ;

$0.66 = 66 cents

6 0
3 years ago
If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a
Vikki [24]

If f(x) is an even function, then f(x)=f(-x). In this case, f(6)=8=f(-6).


This is because an even function is symmetric about the y-axis. Hence the outputs of a negative x-value and a positive x-value are the same.


The correct option is the first option.

Since the graph is even, the outputs of a negative x-value and a positive x-value are the same.


4 0
3 years ago
The graph shows the vertical displacement y, in inches, that a weight bouncing from a spring world achieve if there were no fric
marissa [1.9K]

Answer:

Option B. \frac{1}{6}

Step-by-step explanation:

we know that

The frequency is equal to the number of cycles divided by the time

Remember that

1 cycle = 1 full wave to repeat itself

In this problem

From o to 12 seconds ------> there are 2 cycles

therefore

The frequency is equal to

f=\frac{2}{12}=\frac{1}{6}

3 0
3 years ago
Topic: The Quadratic Formula
Finger [1]

Answer:

Step-by-step explanation:

The quadratic formula for a equation of form

ax²+bx + c = 0 is

x= \frac{-b +- \sqrt{b^2-4ac} }{2a}

For the first equation,

x²+3x-4=0,

we can match that up with the form

ax²+bx + c = 0

to get that

ax² =  x²

divide both sides by x²

a=1

3x = bx

divide both sides by x

3 = b

-4 = c

. We can match this up because no constant multiplied by x could equal x² and no constant multiplied by another constant could equal x, so corresponding terms must match up.

Plugging our values into the equation, we get

x= \frac{-3 +- \sqrt{3^2-4(1)(-4)} }{2(1)} \\= \frac{-3+-\sqrt{25} }{2} \\ = \frac{-3+-5}{2} \\= -8/2 or 2/2\\=  -4 or 1

as our possible solutions

Plugging our values back into the equation, x²+3x-4=0, we see that both f(-4) and f(1) are equal to 0. Therefore, this has 2 real solutions.

Next, we have

x²+3x+4=0

Matching coefficients up, we can see that a = 1, b=3, and c=4. The quadratic equation is thus

x= \frac{-3 +- \sqrt{3^2-4(1)(4)} }{2(1)}\\= \frac{-3 +- \sqrt{9-16} }{2}\\= \frac{-3 +- \sqrt{-7} }{2}\\

Because √-7 is not a real number, this has no real solutions. However,

(-3 + √-7)/2 and (-3 - √-7)/2 are both possible complex solutions, so this has two complex solutions

Finally, for

4x² + 1= 4x,

we can start by subtracting 4x from both sides to maintain the desired form, resulting in

4x²-4x+1=0

Then, a=4, b=-4, and c=1, making our equation

x=\frac{-(-4) +- \sqrt{(-4)^2-4(4)(1)} }{2(4)} \\= \frac{4+-\sqrt{16-16} }{8} \\= \frac{4+-0}{8} \\= 1/2

Plugging 1/2 into 4x²+1=4x, this works as the only solution. This equation has one real solution

7 0
3 years ago
What is the value of x if x over 5=3
Zolol [24]

Answer:

x = 15

Step-by-step explanation:

the easiest way to do this is 5 times 3 and with that we get 15 :)

Have an amazing day!!

Please rate and mark brainliest!!

3 0
2 years ago
Read 2 more answers
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