1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ahrayia [7]
2 years ago
14

Please help with this

Mathematics
1 answer:
Crazy boy [7]2 years ago
5 0

Answer:

  (a)  Horizontal line test

Step-by-step explanation:

A relation that is a function already passes the vertical line test. If it has an inverse function, that function must also pass the vertical line test.

<h3>Inverse relation</h3>

The inverse relation will be the same graph reflected across the line y=x. That is, points that are horizontally aligned on the relation graph become vertically aligned on the inverse relation graph.

<h3>Inverse function</h3>

If the inverse relation is to be a function, then there must be no points on its graph that are vertically aligned. This requirement translates to the requirement that there be no horizontally-aligned points on the graph of the original relation. The "horizontal line test" checks for horizontally aligned points. If there are none, the test is said to <em>pass</em>.

A function will have an inverse function if it passes the Horizontal Line Test.

__

<em>Additional comment</em>

The attached graph shows a function (red curve) that <em>does not pass the horizontal line test</em>. Its inverse relation is the green curve, which you can see is <em>not a function</em>. It does not pass the vertical line test.

The line y=x is shown (dashed orange) so you can see the symmetry of the function and its inverse.

You might be interested in
Explain how you can find the sign of the product of two or more rational numbers.
makkiz [27]
Rational and product
6 0
3 years ago
Triangle abc has side lengths ab = 65, bc = 33, and ac = 56. find the radius of the circle tangent to side ac and bc and to the
lara [203]

The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

<h3>What is the radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.?</h3>

Generally, the equation for side lengths AB is  mathematically given as

Triangle ABC has side lengths

Where

  • AB = 65,
  • BC = 33,
  • AC = 56.

Hence

r √ 2 · (89 √ 2/2 − r √ 2) = r(89 − 2r),

r = 89 − 65

r= 24.

In conclusion, The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

Read more about radius

brainly.com/question/13449316

#SPJ4

7 0
1 year ago
One hour after a hiker left a camp, a cyclist set out to catch up. If the hiker traveled 3 miles per hour and the cyclist travel
katrin [286]
Its 23.1 one because in 23 minutes they travel three miles

7 0
3 years ago
Read 2 more answers
Hi, help ASAP please.
Kisachek [45]

Answer:

17.3

Step-by-step explanation:

50 - 32.7 = 17.3

7 0
2 years ago
If you run 100 meters in 10 seconds, what is your average speed
sertanlavr [38]

Answer:

Yeah it's 10

Step-by-step explanation:

100/10=10

6 0
3 years ago
Other questions:
  • The 08:10 train from goblin's gap gets to mermaid's bay at ?
    5·2 answers
  • The map of a neighborhood park is shown in the diagram. Myra is walking from the pool to the fishing pond along the diagonal sho
    6·1 answer
  • Find the slope of the line passing through <br> (10,14) and (-3, 8)
    13·1 answer
  • 3.1 x 10^-4 x 8.5 x 10^-2
    6·2 answers
  • What compound inequality describes this graph?
    7·1 answer
  • Hank earns &amp;12 per hour for babysitting. How much does he earn for 15 hours of babysitting?
    5·2 answers
  • The temperature in Antarctica was -51 degrees today while the temperature in Puerto Rico what is the difference between the two
    11·2 answers
  • Given the following information, write the equation of the line in slope-intercept form. Slope = -8 and y-intercept = 4
    14·1 answer
  • The function P(t) = S(1.0134)' represents the population (in millions) of a country t years after January 1, 2000. Write an equi
    13·1 answer
  • 2900 people attended a baseball game. 667 of the people attending supported the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!