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goldenfox [79]
2 years ago
6

The Sine Function

Mathematics
1 answer:
Zanzabum2 years ago
4 0

Answer:

B. 1.093

Step-by-step explanation:

I calculated it logically

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The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?
Fed [463]

Answer:   y = f(x - 4) - 1, lower left corner

=============================================================

Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

  • Shift 4 units to the right
  • Shift 1 unit down

This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

3 0
3 years ago
Complete the statements about the two cones. The volumes of the cones are equal when . If a > b, then the cross-sectional are
Elenna [48]

Answer: a=b , greater than

Step-by-step explanation:

7 0
3 years ago
Five less than the product of 3 and a number of 40 . Write in an equation
vagabundo [1.1K]

Answer:

I don't get the "number of 40" part, but here's my best shot!

3(40x)-5

Step-by-step explanation:

4 0
3 years ago
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Find m<1 in the rhombus below
Margarita [4]

Answer:

m \angle \: 1 = 120 \degree

Step-by-step explanation:

Given figure is of a rhombus.

Measures of the opposite angles of a rhombus are equal.

Therefore,

m \angle \: 1 = 120 \degree

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2 years ago
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