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3 years ago

Describe the transformation from the graph of f(x)=x+8 to the graph of g(x)=x-3

Mathematics

1 answer:

andreev551 [17]3 years ago

7 0

Answer:

A.)

Step-by-step explanation:

Translations are as follows: Up is + on Y axis, down is - on Y axis. Right is + on X axis and left is - on X axis.

The function f(x) = x+8 is translated to (0,8) since their is no number in a bracket with x (example: f(x)= (x-2)+5 would be (2,5) since the X axis is taken as the opposite sign).

g(x) = x-3 translates to (0,-3) which is 11 units down from f(x)

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3 years ago

Find each measurement indicated. Round your answers to the nearest tenth. Please show work. Part 1

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Answer:

33.0 m
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28.0 mi
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Step-by-step explanation:

In each of these Law of Sines problems, you are given side a and angles B and C and asked for side c (problems 1, 3, 4) or side b (problem 2). The solution is basically the same for each:

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1. angle A = 180°-89°-58° = 33°

c = (18 m)sin(89°)/sin(33°) ≈ 33.0 m

2. angle C = 180°-13°-17° = 150°

b = (58 mi)sin(13°)/sin(150°) ≈ 26.1 mi

3. angle A = 180°-61°-89° = 30°

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3 years ago

Find the surface area of each figure. Round your answers to the nearest hundredth, if<br> necessary.

steposvetlana [31]

Answer:

1) 651.5 cm²

2) 462 cm²

3) 99 ft²

4) 1540.8 yd²

Step-by-step explanation:

1) Area of the trapezoid: (12 + 7)/2 * 6.5 = 61.75 cm²

Area of the lateral rectangles: 7*16 = 112 cm²

Area of the top rectangle: 12*16 = 192 cm²

Area of the bottom rectangle: 7*16 = 112 cm²

Area of the figure: 192 + 112 + 2*61.75 + 2*112 = 651.5 cm²

2) Area of the top and bottom squares: 11*11 = 121 cm²

Area of the lateral rectangles: 11*5 = 55 cm²

Area of the figure: 4*55 + 2*121 = 462 cm²

3) Area of the trapezoid: (3 + 7)/2 * 3.5 = 17.5 ft²

Area of the lateral rectangles: 4*4 = 16 ft²

Area of the top rectangle: 7*4 = 28 ft²

Area of the bottom rectangle: 3*4 = 12 ft²

Area of the figure: 28 + 12 + 2*17.5 + 2*12 = 99 ft²

4) Area of the lateral rectangles: 11*12 = 132 yd²

Area of the top and bottom hexagons: 3*12*10.4 = 374.4 yd²

Area of the figure: 6*132 + 2*374.4 = 1540.8 yd²

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3 years ago

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Answer:

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