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2 years ago

Given a graph, with no equation, how can you graph the inverse?

Mathematics

1 answer:

patriot [66]2 years ago

4 0

There are two different ways you can do this, I have provided both below.

Answer: You can switch all the x and y coordinate values.

For example, if you have (2, 1) you would graph (1, 2).

Another example, if you have (677, 83) you would graph (83, 677)

Answer: Flip the graph over the line of y = x

I have attached an example from<em> lumenlearning.com</em>.

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1.) A 20° sector in a circle has an area of 21.5π yd².

a_sh-v [17]

<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?

we know that

the area of a circle represent a sector of $360$ degrees

so by proportion

$\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}$

therefore

<u>the answer part 1) is</u>

The area of the circle is $1,215.18\ yd^{2}$

<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

in this problem we have

$Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm$

<u>Find the area of the circle</u>

$A=\pi r^{2}$

$A=\pi*10.6^{2}$

$A=352.8104\ cm^{2}$

<u>Find the area of the sector</u>

we know that the area of the circle represent a sector of $2\pi$ radians

by proportion

$\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}$

therefore

<u>the answer part 2) is</u>

the area of the sector is

$105.84\ cm^{2}$

7 0

3 years ago

In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfal

OLga [1]

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

<h3>What is a mathematical function?</h3>

A mathematical function is a function comprising of different variables that represent different factors or events and the relationships between them.

<h3>
During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos ((π/6) (7 + C) → -5cos ((π/6) (7 + C)

= -1

→ ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→ cos ((π/6) (x-1) + 6 > 4/5

→ (π/6) (x-1) > Cos⁻¹ (4/5)

(π/6) (x-1) < 0.6435 and

(π/6) (x-1) > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
brainly.com/question/25638609
#SPJ1

3 0

2 years ago

Simplify the following:<br> 3x+2y+7-5x+7y

const2013 [10]

<span>3x+ 2y+7 -5x+7y
= -2x + 9y + 7

hope it helps</span>

3 0

3 years ago

Read 2 more answers

Convert 2000 centimeters to inches

Free_Kalibri [48]

Answer:

787.4016 inches

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Which graph shows the solution to this system of inequalities?<br> y < 2x + 4<br> y > -X -3

Arturiano [62]

Answer:

The answer is Graph X.

Always start by isolating the variable \color{red}y on the left side of the inequality.
Change the inequality to equality symbol.
Graph the boundary line from step 2 in the XY-plane.
The last step is to shade one side or region of the boundary line.

Please Mark Brainliest If This Helped!

3 0

2 years ago