Olive can read 5 pages of her book in 20 minutes. At what unit rate in olive reading

Mathematics

2 answers:

Zinaida [17]3 years ago

6 0

5 pages / 20 minutes = 1/4 page in 1 minute

baherus [9]3 years ago

4 0

4 min
you have to divide 20 by 5

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Which of the following is a result of shifting a circle with equation (x + 3)2 + (y - 2)2 = 36 up 3 units? A. The x-coordinate o

Katen [24]

Answer:

D. (y-2) becomes (y-5) and -5 < -2

Step-by-step explanation:

When transforming functions, the following applies:

• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).

• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).

• Multiplying the function by a number less than 1 compresses it towards the x-axis.

• Multiplying the function by a number greater than 1 stretches it away from the x-axis.

In this situation, the circle is shifted up 3 units and the variable y which controls this is in the function. To move it up you will subtract 3 in the parenthesis for (y-2) so it becomes (y-5). This will move the vertex 3 units higher.

3 0

3 years ago

Read 2 more answers

Please help me on this

Readme [11.4K]

For this case we have to define root properties:

$\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a$

In addition, we know that:

$a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}$

On the other hand:

$4 ^ 2 = 16$

Thus, we can rewrite the given expression as:

$\sqrt {4 ^ 2 * a ^ 8 * \frac {1} {b ^ 2}} =\\4 ^ {\frac {2} {2}} * a ^ {\frac {8} {2}} * \frac {1} {b ^ {\frac {2} {2}}} =\\4 * a ^ 4 * \frac {1} {b}$