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Nitella [24]
3 years ago
8

To determine whether the inverse of a function is a function you can perform the horizontal line test.

Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

\boxed{\text{TRUE}}

Step-by-step explanation:

If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.

For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.

However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.

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The jet stream is traveling nearly due south from Wyoming to Colorado at 110 knots. If the plane’s speed is 400 knots, what will
son4ous [18]

Considering the direction of the wind, it is found that the ground speed needs to be of 510 knots.

<h3>What is the ground speed?</h3>

The ground speed, considering that the wind is flowing from Wyoming to Colorado, and the same direction as the trip, is given by:

G = Plane speed + Wind speed.

In this problem, we have that the speeds are given as follows:

  • Plane: 400 knots.
  • Wind: 110 knots.

Hence the ground speed is given by:

G = 400 + 110 = 510 knots.

A similar problem, involving plane and wind's speed, is given at brainly.com/question/25547425

#SPJ1

7 0
1 year ago
Please help on both! And please put answer and not a website!
marissa [1.9K]

Answer:

1: 55     2: 40

Step-by-step explanation:

For the first problem, by the triangle angle theorm, the three angles in a triangle add up to 180, so

90+35+x=180

125 + x = 180

x = 55

Now, the angle you just found (x = 55) and the exterior angle are supplementary so they also add up to 180

55 + y = 180

y = 125

For the second problem, the two angles in a triangle non-adjacent to the exterior angle are equal to the exterior angle, so

40 + 2x = 3x

x = 40

3 0
2 years ago
Find the measures of the interior angles.
MAVERICK [17]

Answer:

The two angles are 39°

Step-by-step explanation:

180 - 102 = 78. 78/2 = 39.

6 0
2 years ago
Read 2 more answers
Solve each triangle. Round your answers to the nearest tenth
ivolga24 [154]
You have to use the Law of Cosines here, since there's no other way to solve this.  it's not a right triangle, so you can't use the Pythagorean Theorem.  The Law of Cosines will help us find the missing side length then we will have to use the Law of Sines to find another angle.  Then after that we will use the Triangle Angle-Sum theorem to finish it off.  Ready? The Law of Cosines to find side b isb^{2} = a^{2}+ c^{2} -2ac cosB and fill in the info we know, which is everything but the b. b^{2} =(21) ^{2} +(29) ^{2} -2(21)(29)cos109. Doing all that math gives us that side b = 40.9 or 41. Now the Law of Sines to find missing angle A or C.  Let's find A. \frac{sinA}{21} = \frac{sin109}{41}.  That gives us that angle A is 29.  Now use the fact that all triangles add up to 180 to get that angle C is 42.  And you're done!

7 0
3 years ago
Sharmila received 81 texts in 9 minutes what is the rate???????????????????????????????????????????????????
Arte-miy333 [17]

Question

Sharmila received 81 texts in 9 minutes what is the rate?

Answer:

<h2>9 : 1</h2>

Step-by-step explanation:

the rate is 81 : 9

semplify

9 : 1 (9 texts x minute)



7 0
3 years ago
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