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3 years ago

The equation x squared + y squared = r squared

Mathematics

1 answer:

WITCHER [35]3 years ago

5 0

$(5-0)^2+(-2+0)^2=r^2\\
25+4=r^2\\
29=r^2\\\\
\boxed{x^2+y^2=\sqrt{29}}$

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A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function

kykrilka [37]

Answer:

- Stretching the parent function $f(x) =\frac{1}{x}$ vertically .

- Shifting the parent function $f(x) =\frac{1}{x}$ 5 units right.

Step-by-step explanation:

<h3>The complete exercise is: " A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function $f(x) = \frac{100}{x -5}$ represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function $f(x) =\frac{1}{x}$ transformed to create the graph of $f(x) = \frac{100}{x -5}$ ?"</h3><h3 />

Below are some transformations for a function :

1. If $f(x)+k$ , the function is shifted "k" units up.

2. If $f(x)-k$ , the function is shifted "k" units down.

3. If $f(x)-k$ , the function is shifted "k" units right.

4. If $f(x)+k$ , the function is shifted "k" units left.

5. If $bf(x)$ and $b>1$ the function is stretched vertically by a factor of "b".

6. If $bf(x)$ and $0$ the function is compressed vertically by a factor of "b".

The exercise gives the following parent function:

$f(x) =\frac{1}{x}$

And you know that the transformed function which represents the remaining time in minutes needed to fill the tank, is:

$f(x) = \frac{100}{x -5}$

Therefore, based on the transformations explained before you can identify that the graph of the transformed function is created by:

- Stretching the parent function $f(x) =\frac{1}{x}$ vertically.

- Shifting the parent function $f(x) =\frac{1}{x}$ 5 units right.

7 0

4 years ago

Read 2 more answers

You take out a 60-day loan for $5000. At the end of the loan, you owe $73.97 in interest. What is the annual percentage rate? Ro

gulaghasi [49]

The PERCENTAGE ANNUAL RATE is 9.0% to the nearest tenth using the SIMPLE INTEREST FORMULA

The question is related to a SIMPLE INTEREST problem:

Loan period = 60 days

using 365 days a year ;

converting to years , 60 days = (60 / 365) years

interest on loan = 73.97

principal = 5000

Using the formula:

interest = (principal * rate * time)

73.79 = (5000 * rate * (60/365)

Rate = 73.79/(5000 * (60/365)) =8.977%

rate = 9%

Therefore, PERCENTAGE ANNUAL RATE is 9.0%

8 0

3 years ago

Please help 10 points

jeka57 [31]

Answer:

61°

Step-by-step explanation:

Alright so the total amount of degrees in a 5-sided shape or pentagon is 540°. Since we have four of the five total angles, we can solve for the last one.

Sum of all the degrees of all five angles = 540°

The variable x is representing our last unknown degree.

90° + 107° + 144° + 138° + x° = 540°

Add up all the known degrees and solve for x.

479° + x° = 540°

Subtract 479 on both sides so that we can isolate x.

479° + x° - 479° = 540° - 479°

x° = 61°

So our final answer is 61°

4 0

4 years ago

What is the ordered pair for point A in this coordinate plane?

Alecsey [184]

Answer:

the answer is A.

Step-by-step explanation:

left 7 (-7)

down 5 (-5)

the coordinates are(-7,-5)

4 0

3 years ago

Can anyone help please

skelet666 [1.2K]

A-4b that’s my answer hope this help

8 0

4 years ago