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3 years ago

Using function notation, describe the transformation. x^2+y^2=1 --> (x-7)^2 + (y+4)^2 = 1

Mathematics

2 answers:

Ksivusya [100]3 years ago

7 0

Step-by-step explanation:

Step 1: Describe the transformation

The formula of transformation for this equation is $(x - k)^2 + (y - b)^2 = 1$

If k or b has a positive sign in the formula, that means that the you move it to the negative direction. If k or b has a negative sign in the formula, that means that you move it to the positive direction.

So if we have $(x - 7)^2,$ that means we move the x value to the positive direction 7 units.

So if we have $(y + 4)^2$ , that means we move the y value to the negative direction 4 units.

Answer: To the right 7 units and down 4 units.

Fiesta28 [93]3 years ago

3 0

Answer:

f(x - 7) - 4

Translation: < 7 , -4 >

Step-by-step explanation:

x^2+y^2=1

Centre: (0,0)

(x-7)^2 + (y+4)^2 = 1

Centre: (7,-4)

Translation: < 7 , -4 >

If the first function is f(x), the transformed function is:

f(x - 7) - 4

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faltersainse [42]

The Scale used on blueprint is 1 inches represents 4/3 feet

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Since on the blueprint, the walls measure 10 feet by 12 feet but on the blue print it measures 7.5 inches by 9 inches. Hence:

Scale used on blueprint is 7.5 inches = 10 feet or 9 inches = 12 feet

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2 years ago

Janice is 7 years older than Tam. Complete the table, and then graph this situation.

qwelly [4]

Answer:

The table in the exercise can be completed with the next results:

x y
2 9
4 11
6 13
8 15

Step-by-step explanation:

As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:

y = x + 7

Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:

When x is 2:

y = 2 + 7
y = 9

When x is 4:

y = 4 + 7
y = 11

When x is 6:

y = 6 + 7
y = 13

When x is 8:

y = 8 + 7
y = 15

At last, to obtain the graph you can use the formula made: y = x + 7, and you'll obtain a graph like the attached picture, where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7.

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2 years ago

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almond37 [142]

The answer is x=45.

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2 years ago

Which of the following equations is paralllel to the line y+3x+1 and passes through the point (6,-3)

faust18 [17]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

An airplane pilot over the Pacific sights an atoll at an angle of depression of 10°. At this time, the horizontal distance from

Alex17521 [72]

The question was posted incomplete.

This is the part missing:

What is the height of the plane to the nearest meter?

Answer: 559 m.

Explanation:

1) The horizontal distance between the plane and tha atoll makes a right triangle with the height, with the depression angle between the two legs.

2) Therefore, you can use the tangent trigonometric ratio:

tan(10°) = opposite-leg / adyacent-leg = height / horizontal distance

⇒ height = horizontal distance × tan (10°)

⇒ height = 3,172 m × tan(10°) = 559.31 m, which rounded to the nearest m is 559

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3 years ago