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andreev551 [17]
2 years ago
9

Sketching a Hyperbola In Exercises 19-32, find the center, vertices, foci, and the equations of the asymptotes of the hyperbola.

Then sketch the hyperbola using the asymptotes as an aid.
25. \frac{(x-1)^{2}}{4}-\frac{(y+2)^{2}}{1}=1
Mathematics
1 answer:
zlopas [31]2 years ago
7 0

Step-by-step explanation:

her this is the answer for the question

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What is the range of the function g(x) = |x - 12| - 2?
PtichkaEL [24]

Step-by-step explanation:

The function is given by

It is an absolute value function which has a v- shaped graph.

The vertex form of an absolute function is given by y = a|x-h| +k, where (h,k) is the vertex.

Comparing the given equation with this, we have

h = 12

k = -2

Hence, the vertex would be (12,-2).

Now, the range of the function is the set of y values for which the function is defined.

This function has vertex of (12,-2). hence, it would not take any values which are less than -2. Please see the attached graph.

Hence, the range would be the all y values greater than or equal to -2.

Hence, the range is given by

8 0
2 years ago
Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function
kompoz [17]

Step-by-step explanation:

this is a strange rental company charging no daily fees.

but ok.

so, we have a fixed part of the cost : $24

we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.

and then we pay $0.35 for every mile driven.

that makes our function

C(x) = 0.35x + 24

and if we drive 40 miles, that makes x = 40.

C(24) = 0.35×40 + 24 = 14 + 24 = $38

it would cost us $38.

3 0
3 years ago
1-3x=8x+3 solve the equation
LenaWriter [7]

First, subtract both sides by 8x and you would get:

1 - 11x = 3

Then, subtract both sides by 1 and you will get:

-11x = 2

Divide both sides by -11:

x = -2/11

8 0
3 years ago
To draw a line segment perpendicular to XY passing through point x
Andrew [12]
What does perpendicular mean? Well, in elementary geometry it mean 2 lines that intersect at a right angle. (90°).

So for Part one. all you need to do is draw a straight line down from the point X. Name the end point of that line M. 

Now you will connect the line M and Z.

Thats it! I hope this helped!! :)




3 0
3 years ago
Read 2 more answers
Garry wants to have $750,000 in 30 years. How much does he have to invest per month in an annuity with an annual interest rate o
Nikolay [14]
I think the answer is Garry has to invest 2,035 dollars a month for 30 years to reach his goal of 750,000 dollars
4 0
3 years ago
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