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ohaa [14]
3 years ago
7

The black graph is the graph of y=f(x). Choose the equation for the red graph.

Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0

Answer:

d

Step-by-step explanation:

The red graph is an enlargement of the black graph.

Note coordinates of vertices of black graph to coordinates of red graph

(2, 2 ) → (2, 4 )

(4, - 2 ) → (4, - 4 )

(- 2, - 2 ) → (- 2, - 4 )

The y- coordinates of the red graph are twice the y- coordinates of the black graph.

and

\frac{y}{2} = f(x) ← multiply both sides by 2

y = 2f(x) ← as required, thus

equation of red graph is

\frac{y}{2} = f(x) → d

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Simplify the expression.<br><br><br> Write your answer without negative exponents.
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Answer:

-5/ (x^19 * y^12)

Step-by-step explanation:

-15x^-10 * y ^ -3 * x^-9 * y^-9/3 (It's writing it like this.)

15 and 3 have a GCF of 3.

-5x^-10 * y^-3 * x^-9 * y^-9/1

Reduce similar occurrences. *twice in a row*

-5x^(-10 + (-9)) * y^(-3 + (-9))/1

Remove extra signs *twice in a row*

-5x^(-10 - 9) * y^(-3 - 9)/1

Remove extraneous 1.

-5x^(-10 - 9) * y^(-3 - 9)

Add integers.

-5x^-19 * y^-12

Negative powers change multiplication to division.

-5 / (x^19 * y^12) is the final answer.

Even with that, the simplified answer wouldn't have negative exponents because of the negative powers rule.

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<h3>What is the Length of an Arc?</h3>

Length of arc = ∅/360 × 2πr, where the radius of the circle is r, and the reference angle is ∅.

We are given the following:

Radius (r) = 3 units

Reference angle (∅) = 46°

Plug in the values into the length of arc formula:

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Length of arc = 2.41 units.

Therefore, the length of arc of the given circle, to the nearest hundreth, is: 2.41 units.

Learn more about length of arc on:

brainly.com/question/2005046

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