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PolarNik [594]
3 years ago
11

(30PTS) What are the slopes of the asymptotes of a hyperbola with equation x^2/2^2-y^2/6^2=1

Mathematics
2 answers:
Akimi4 [234]3 years ago
4 0

Answer:

2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.

Step-by-step explanation:

c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).

Crazy boy [7]3 years ago
4 0

Answer:

A.

(3,-3)

Step-by-step explanation:

edge 2020 2021

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Why are there graphs.
Tasya [4]

Answer:

Graphs are a common method to visually illustrate relationships in the data. The purpose of a graph is to present data that are too numerous or complicated to be described adequately in the text and in less space. ... If the data shows pronounced trends or reveals relations between variables, a graph should be used.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Mathematically derive a set of values for b and c such that the interval [0, 10] represents the solution to the inequality |x−b|
Roman55 [17]

Answer: Ix - 5I ≥ 5.

Step-by-step explanation:

We want the set:

[0, 10]

to be the solution of:

Ix - bI ≤ c

So we need to find the values of c and b.

The first step is to find the middle point in our segment.

We can do that by adding the extremes and dividing it by 2.

M = (10 + 0)/2 = 5

And we also want to find half of the difference between the extremes, this is:

D = (10 - 0)/2 = 5.

Now, this set will be the set of solutions of:

Ix - MI ≥ D

Then in our case, we have:

Ix - 5I ≥ 5.

so we have that b = 5, and c = 5.

8 0
3 years ago
The table below shows the number of years since 1995 and the price of milk.
diamong [38]

Answer:

Slope = 0.06

Step-by-step explanation:

From the question, we are not asked what to calculate but we can as welll look for the slope of the relationship.

Slope in this scenario will be the rate of change in price of milk with respect to time.

Slope = ∆P/∆t

The standard equation will be expressed as P = mt+c where

m is the slope

t is time

P is the price of milk.

Comparing this with the given model

P(t)=0.06t+2.52

On comparison, we can see that;

m = 0.06

Hence the slope of the expression is 0.06

5 0
3 years ago
Read 2 more answers
Please help me find the correct answer to this!
WARRIOR [948]

Answer:

D) x=-1, x=-9

Step-by-step explanation:

x=-1, x=-9

7 0
3 years ago
The point (4, −7) is reflected over the x-axis. Its image is reflected over the y-axis. What ordered pair represents the final i
allsm [11]

Answer:

(-4, 7)

Step-by-step explanation:

reflecting it over the x-axis changes the x-coordinate to the opposite. reflecting it over the y-axis changes the y-coordinate to the opposite.

6 0
3 years ago
Read 2 more answers
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