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Andreyy89
2 years ago
15

Help read the instructions ffirst

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
7 0

Answer:

Step-by-step explanation:

Find attached  the first sum.

x  denotes horizontal and y denotes vertical

When the value of x  is  positive, it moves to right side and when x is negative, it moves left sides 'x unit'

When the value of y  is  positive, it moves to up side and when y is negative, it moves down sides 'y unit'

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Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola
k0ka [10]

Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

c = 8

Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55

General equation of hyperbola is :

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1

Hence, this is the required solution.

3 0
3 years ago
What are the solutions of the quadratic equation 49x^2=9?
Flauer [41]
<span>Simplifying 49x^2 + -9 = 0
Reorder the terms: -9 + 49x^2 = 0
Solving -9 + 49x^2 = 0 Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation. -9 + 9 + 49x^2 = 0 + 9
Combine like terms: -9 + 9 = 0 0 + 49x^2 = 0 + 9 49x^2 = 0 + 9
Combine like terms: 0 + 9 = 9 49x^2 = 9
Divide each side by '49'. x^2 = 0.1836734694
Simplifying x^2 = 0.1836734694
Take the square root of each side: x = {-0.428571429, 0.428571429}

hope this helps!!</span>
5 0
3 years ago
Which equation is equivalent to 4x+3 – 647<br> I don’t know how to do it
german

Answer:3.54

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need to know the steps to simplify 15.7 + (-3.45)
faust18 [17]
U call it keep change change. keep 15.7. change it to subtract and change -3.45 to just 3.45 (positive not negative)
5 0
2 years ago
Read 2 more answers
What is equivalent to <br> (3x+1)(4x-1)
valentinak56 [21]
(3x+1)(4x-1)

3x+4x=7x
1-1=0

So

(3x+1)(4x-1) = 7x

I hope this helped and was right, have a nice day
4 0
2 years ago
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