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Molodets [167]
3 years ago
13

Hey can someone please help explain and answer this 1 question. There's a picture. Thank you!

Mathematics
1 answer:
g100num [7]3 years ago
6 0
We'll first clear a few points.
1. A hyperbola with horizontal axis and centred on origin (i.e. foci are centred on the x-axis) has equation
x^2/a^2-y^2/b^2=1
(check: when y=0, x=+/- a, the vertices)
The corresponding hyperbola with vertical axis centred on origin has equation
y^2/a^2-x^2/b^2=1
(check: when x=0, y=+/- a, the vertices).

The co-vertex is the distance b in the above formula, such that 
the distance of the foci from the origin, c satisfies c^2=a^2+b^2.
The rectangle with width a and height b has diagonals which are the asymptotes of the hyperbola.

We're given vertex = +/- 3, and covertex=+/- 5.
And since vertices are situated at (3,0), and (-3,0), they are along the x-axis.
So the equation must start with
x^2/3^2.

It will be good practice for you to sketch all four hyperbolas given in the choices to fully understand the basics of a hyperbola.
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ludmilkaskok [199]

Answer:

First question: 1.4

Second question: Option 3

Step-by-step explanation:

First question:

You simplify the left equation first,

-0.4 x -3.5 = 1.4 , -0.4 x 2.9 = -1.16

<u>1.4k - 1.16</u>

For this to equal the right equation, the number missing must be 1.4.

Second question:

You simplify the equation given to you first,

1/4 x 8 = 2 , 1/4 x 12 = 3

<u>2x + 3</u>

The option that is equivalent to the answer is option 3; 2x + 3

8 0
3 years ago
Which of the following numbers can be evenly divided by 4?
densk [106]
D is the answer it is divided by 4 evenly
6 0
3 years ago
What does this equal to -31 + 4x = -2x + 35
romanna [79]

Answer:

<u><em>x=11</em></u>

Step-by-step explanation:

-31+4x=-2x+35

+31

4x=-2x+66

+2x

6x=66

66/6

5 0
4 years ago
12(x - 6) = 2(x - 9) whats the answer
Xelga [282]
The anwser I know is 14x-30
3 0
4 years ago
Read 2 more answers
Kayla's family receives great service during their meal at Olive Garden and want to give their server a 20% tip. If the meal cos
vesna_86 [32]

Answer:

$14.656

Step-by-step explanation:

Given data

Cost of meal= $73.28

Tip= 20%

Let us find 20% of $73.28

=20/100*73.28

=0.2*73.28

=$14.656

Hence the tip is $14.656

4 0
3 years ago
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