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nikklg [1K]
3 years ago
10

This set of points is on the graph of a function.

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
5 0

Answer:

(9, -3), (1, -1), (0, 0) and (4, 2)

Step-by-step explanation:

The definition of an inverse of a function is "the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function."

This means too find the inverse of a function using ordered pairs, switch the x- and y-coordinates.

This means that (-3, 9) goes to (9, -3); (-1, 1) goes to (1, -1); (0, 0) goes to (0, 0); and (2, 4) goes to (4, 2).

BaLLatris [955]3 years ago
3 0

Answer: (9, -3), (1, -1), (0, 0), and (4, 2)

<u>Step-by-step explanation:</u>

Inverse is when the x's and y's are swapped:

The given points are: {(-3, 9), (-1, 1), (0, 0), (2, 4)}

The inverse points are: {(9, -3), (1, -1), (0, 0), (4, 2)}

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NO LINKS!!! Part 2: Find the Lateral Area, Total Surface Area, and Volume. Round your answer to two decimal places.​
slava [35]

Answer:

<h3><u>Question 7</u></h3>

<u>Lateral Surface Area</u>

The bases of a triangular prism are the triangles.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).

\implies \sf L.A.=2(10 \times 6)+(3 \times 6)=138\:\:m^2

<u>Total Surface Area</u>

Area of the isosceles triangle:

\implies \sf A=\dfrac{1}{2}\times base \times height=\dfrac{1}{2}\cdot3 \cdot \sqrt{10^2-1.5^2}=\dfrac{3\sqrt{391}}{4}\:m^2

Total surface area:

\implies \sf T.A.=2\:bases+L.A.=2\left(\dfrac{3\sqrt{391}}{4}\right)+138=167.66\:\:m^2\:(2\:d.p.)

<u>Volume</u>

\sf \implies Vol.=area\:of\:base \times height=\left(\dfrac{3\sqrt{391}}{4}\right) \times 6=88.98\:\:m^3\:(2\:d.p.)

<h3><u>Question 8</u></h3>

<u>Lateral Surface Area</u>

The bases of a hexagonal prism are the pentagons.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).

\implies \sf L.A.=5(5 \times 6)=150\:\:cm^2

<u>Total Surface Area</u>

Area of a pentagon:

\sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}a^2

where a is the side length.

Therefore:

\implies \sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}\cdot 5^2=43.01\:\:cm^2\:(2\:d.p.)

Total surface area:

\sf \implies T.A.=2\:bases+L.A.=2(43.01)+150=236.02\:\:cm^2\:(2\:d.p.)

<u>Volume</u>

\sf \implies Vol.=area\:of\:base \times height=43.011193... \times 6=258.07\:\:cm^3\:(2\:d.p.)

8 0
2 years ago
A copy machine makes 24 copies per minute. how many copies does it make in 5 minutes and 30 seconds
enot [183]
In 1 minute the copy machine copies = 24
That means
In 60 seconds the copy machine copies = 24
First we need to convert 5 minutes and 30 seconds to seconds
Then
5 minutes and 30 seconds = (5 * 60) + 30
                                           = 300 + 30
                                           = 330 seconds
So
In 330 seconds the copy machine will copy = (24/60) * 330
                                                                     = 4 * 33
                                                                     = 132
So in 5 minutes and 30 seconds the copy machine will copy 132 copies.
6 0
3 years ago
Read 2 more answers
If 36 is 25% of the total, what is the total?
Alexandra [31]
Answer:144
Explanation: 25% of the total in other words means that it is 1/4 (a quarter). You could just multiply 36 by 4 to get the total (100%). If u want to verify, just multiply 144 by 0.25 and u should get 36.
7 0
3 years ago
A circle is centered at the origin and contains the point (-6, -8). What is the area of this circle?​
gogolik [260]

Answer:

314 units²

Step-by-step explanation:

Centre of the circle = (0, 0)

Another point on the circle = (-6, -8)

\text {Radius = }\sqrt{(0 - (-6))^2 + (0- (-8))^2}

\text {Radius = }\sqrt{6^2 + 8^2}

\text {Radius = }\sqrt{100}

\text {Radius = }10

Area = π (10)² = 100π = 314 units²

6 0
3 years ago
Find the x in the given triangle and at last do the proof...please help​
viva [34]

Answer:

x = 42.67

Step-by-step explanation:

5 0
2 years ago
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