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3 years ago

Write the equation for the circle with center (1, 1) and radius 5.

Mathematics

1 answer:

zepelin [54]3 years ago

4 0

The answer is C
(x-h)^2 + (y -k)^2 =r^2
Center (h,k) r = radius

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For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7

Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be approaching to a value $\infty$ or it should not give us the $\frac{0}{0}$ (zero by zero) form when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value $\infty$ or $\frac{0}{0}$ (zero by zero) form

So, for all real numbers, the function is defined.

$2.\ \dfrac{18}{y}$

At y = 0, the value

$At\ y =0, \dfrac{18}{y} \rightarrow \infty$

So, the given function is defined for all real numbers except y = 0

$3.\ \dfrac{1}{x+7}$

Let us consider denominator:

x + 7 can be zero at a value x = -7

$At\ x =-7, \dfrac{1}{x+7} \rightarrow \infty$

So, the given function is defined for all real numbers except x = -7

$4.\ \dfrac{2b}{10-b}$

Let us consider denominator:

10-b can be zero at a value b = 10

$At\ b =10, \dfrac{2b}{10-b} \rightarrow \infty$

So, the given function is defined for all real numbers except b = 10

7 0

3 years ago

Find the modal class interval.

photoshop1234 [79]

Answer: 24≤ a < 26

Step-by-step explanation:

The modal class interval is the class interval with the highest frequency, the highest frequency from the table is 8 , which belongs to the class interval 24≤ a < 26

4 0

3 years ago

A river flows at the rate of 12 feet per minute. What is the rate in second per foot?

ASHA 777 [7]

Answer: 1/5 or 0.2 in decimal form.

Explanation:

There are 60 seconds in a minute. We know the river flows 12 ft per 1 minute. So in order to find the rate per seconds, divide: 60/12. You get the answer: 1/5 or 0.2 in decimal form.

4 0

2 years ago

(x-5)2/5=4 Solve the equation.

Naddika [18.5K]

Answer: x=15

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Rewrite 3√5^2 with a rational exponent.

Law Incorporation [45]

Answer:

C. 5 2/3

Step-by-step explanation:

3 0

3 years ago