BC is the diameter of a circle whose center is the point (2,2) if the coordinates of B are (-1,7) find the length of BC in simplest radical form

1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units

2. The possible values are decided by assuming  \(\frac{ON}{LO} = \frac{PM}{LP} = 3\) using the triangle proportionality theorem.

3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.

Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.

1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:

\(\frac{ON}{LO} = \frac{PM}{LP}\)

Using the above ratio, we can choose the following possible lengths for the segments:

ON = 3 units

LO = 1 unit

PM = 6 units

LP = 2 units

2. The values are decided assuming that the ratio, \(\frac{ON}{LO} = \frac{PM}{LP} = 3\)

This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.

Therefore, since:

\(\frac{3}{1} = 3\\\\\frac{6}{2} = 3\)

The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.

3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.

LP/LM = LO/LN = PO/MN

We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.

Let's assume that: LP/LM = LO/LN = PO/MN = 1/4

Let,

LO = 1 unit

LN = 4 units

Therefore, ON = LN - LO = 4 - 1 = 3 units.

Same way the other possible measures can be gotten provided a ratio is assumed.

Learn more about triangle proportionality theorem on:

https://brainly.com/question/24804474

Answer:

I don't recognize this problem, please make sure the input is complete.

Step-by-step explanation:

it that the full problem?

Answer:

Cscscscbsc s

Step-by-step explanation:

Csucbhscucbhsbhczj

The equation that represents the cost, c, of n sets is c = 63.74n

from the question, we have the following parameters that can be used in our computation:

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

Read more about equation at

https://brainly.com/question/32492977

#SPJ1

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

B. 4x ≤ 320 is the correct option.

Step-by-step explanation:

Have a nice day!

Answer:

B. 4x < 320

Step-by-step explanation:

Answer:

the change in C can be calculated by evaluating the cost function at Q = 356 and Q = 357

change in C = 1,020,000/357 + 7.6*357 - 1,020,000/356 + 7.6*356 ≈ -0.43

Instantaneous rate of change in C is first order derivative C':

C'(Q) = -1,020,000/(Q^2) + 7.6

C'(356) = -1,020,000/(356^2) + 7.6 ≈ - 0.45

Hope my answer helps.

The absolute value of f(24) is 25165824 for the given recurrence relation.

As per the question, the recurrence relation as:

f(n) = 2 × f(n-1)

f(1) = 3

As we know that the geometric series is described as a series representing the sum of the terms in a finite or infinite geometric sequence.

This is a geometric sequence with a = 3 and r = 2.

The formula for the nth term of a geometric sequence is:

f(n) = ar⁽ⁿ⁻¹⁾

Substitute a = 3 and r = 2, we get:

f(n) = 3×2⁽ⁿ⁻¹⁾

So, the absolute value of f(24):

|f(24)| = 3 × 2⁽²⁴⁻¹⁾

|f(24)| = 3 × 2²³

|f(24)| = 25165824

Therefore, the absolute value of f(24) is 25165824.

Learn more about the absolute value here:

https://brainly.com/question/15355094

#SPJ1

Answer: 18th customer

Step-by-step explanation: Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72

The customer who will be the first to receive a free rose and a free lily is 18th customer

Given:

Every 6th customer = free rose

Every 9th customer = free Lily

Which customer will be the first to receive a free rose and a free lily?

find the lowest common multiple of 6th and 9th customer

6th customer = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

9th customer = 9, 18, 27, 36, 45, 54, 63

The lowest common multiple of 6th and 9th customer is 18

Therefore, the customer who will be the first to receive a free rose and a free lily is 18th customer

Read more:

https://brainly.com/question/16054958

Answer:

8 people bought economy and 2 bought first class

Step-by-step explanation:

there are 10 person and total is 1580 so 250+ 9(135)=1460 which is wrong so we gonna try adding 2(250) and 8(135) which got us 1580

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer: Neither of them are correct.

4/x = x/8 and x is about 5.7

Answer:

\(\frac{21*4-11*3}{12}\)=51/12=17/4

Step-by-step explanation:

No, Dennis compared the values in the row for y. The values of y are are found by multiplying x by 10. The correct equation is y = 10x

Here, we want to check if the equation written correctly represent the relatinship shown in the table

As, we can see from testing the initial value of 5 and 50, we can see that the given equation does not describe the relationship between x and y on the table

The correct answer is that;

The values of y are found by multiplying the x by 10.

The correct equation is;

Answer: 4.5y

Step-by-step explanation:  You have To Multiply 15 times 0.3 and you get 4.5y

Answer:

You have To Multiply 15 times 0.3 and you get 4.5y

Step-by-step explanation:

Answer:

perimeter= 28

area=33

Step-by-step explanation:

The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

A motor oil store has two tanks: one holds 12 gallons of oil, and the other holds 2 gallons of oil. In order to determine which tank will require to fill the bottles, the following computation must be done:

Quarts to gallons is 4 to 1.

1/4 x 60 = X

60/4 = X

15 = X

Since the motor oil vendor requires 15 gallons of oil, he must use both tanks but will still be short by 1 gallons

To learn more about gallons refer

https://brainly.com/question/24138072

#SPJ1

Answer:

25 years

Step-by-step explanation:

Answer:

2:1

Step-by-step explanation:

12:6 reduced to the simplest form is 2:1

Answer:

12:6 in the simplest form is 2:1.

Step-by-step explanation:

The expression 3x+11y cannot be factorized.

What is factorization?

To factorise an algebraic statement, we first identify the terms' highest common factors before organising the words in the appropriate way. An algebraic expression's factorization is, to put it simply, the process of expansion in reverse. The same way, as the product of their factors, are the algebraic expressions written in algebra. The only difference is that in an algebraic expression, variables and integers are combined to perform mathematical operations like addition or subtraction.

Here the given expression 3x+11y didn't have any common factors.

The given expression has two variables 3x and 11y and they didn"t have any common terms.

Hence the expression 3x+11y cannot be factored.

To learn more factorization refer the below link

https://brainly.com/question/1315628

#SPJ9

Answer:

the rate of change is 6 for every 1

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

We can find the rate of change using the following formula:

m= y^2-y^1/x^2-x^1

From the table:

Let:

(x1,y1) = (0,16)

(x2,y2) = (6,4)

so:

m= 4-16/6-0= -12/6=-2

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

From the question, we have the following parameters that can be used in our computation:

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

Read more about fraction at

https://brainly.com/question/31896427

#SPJ1

Answer:

x ≤ 9

Step-by-step explanation:

Answer:

(c) 10, 404.

Step-by-step explanation:

Step 1.

To multiply 289 by 36, set them up as shown by arranging the two numbers in columns. We usually put the number with the smaller number of digits at the bottom.

Step 2.

Firstly, work out 6 × 289. The smaller figures in green are the tens figures carried over. Working from right to left:

6 × 9 = 54

Put the 4 in the appropriate column and carry the 5.

6 × 8 + 5(carried) = 53

Put the 3 in the appropriate column and carry the 5.

6 × 2 + 5(carried) = 17

Put the 7 in the appropriate column and carry the 1.

Step 3.

Lastly, work out 30 × 289.

This can be written as 3 × 289 × 10.

Because we are multiplying by 10, we place 1 zero to the right and then work out 3 × 289.

3 × 9 = 27

Put the 7 in the appropriate column and carry the 2.

3 × 8 + 2(carried) = 26

Put the 6 in the appropriate column and carry the 2.

3 × 2 + 2(carried) = 8

Step 4. Finally, the 2 rows are added together starting at the right. The smaller figures in green are the tens figures carried over.

0 + 4 = 4

7 + 3 = 10

Put the 0 in the appropriate column and carry the 1.

6 + 7 + 1(carried) = 14

Put the 4 in the appropriate column and carry the 1.

8 + 1 + 1(carried) = 10

Put the 0 in the appropriate column and carry the 1.

1 (carried) = 1

So: 289 × 36 = 10404

Mathematics done on paper should look something like this; ( Did the best I can on PC)

2 8 9

................. 3....6....×

1 7 3 4

 1 5 5  

8 6 7 0

.......  2......2.........  

1 0 4 0 4

1 1 1    

Hope this helped!

Answer:

A

Step-by-step explanation:

See that the slope of the parabola changes at x=4

And left of x=4, the slope is positive, meaning the value is increasing (you can also see it directly from the graph)

Right of x=4, the slope is negative, meaning the value of the graph is decreasing. Thus the answer is A

The quadratic function graphed is defined as follows:

y = x² - 10x + 9.

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

From the graph, the roots are given as follows:

x = 1 and x = 9.

Hence the function as a product of it's linear factors is defined as follows:

y = a(x - 1)(x - 9)

y = a(x² - 10x + 9).

When x = 5, y = -16, hence the leading coefficient a is obtained as follows:

-16 = a(5² - 10(5) + 9)

-16a = -16

a = 1.

Thus the function is:

y = x² - 10x + 9.

More can be learned about the Factor Theorem at brainly.com/question/24729294

#SPJ1

Answer:

6

Step-by-step explanation:

Answer easy ypu just subtract i am not the best at this so dont take my word for it lol

Speed per hour = distance / time

Speed = 73 1/3 / 3/2

Speed = 220/3 / 3/2

Speed = 220/3 x 2/3

Speed = 440 /9

Speed = 48 8/9 miles per hour.

Answer:

The common denominator is 100 because they dont have a number lower so 20*5 is 100 and 25*4 gives you 100

i hope this helps<3

Therefore, the three consecutive odd integers that add up to 93 are 33, 35, and 37.

To learn more about the integers refer to:

https://brainly.com/question/929808

#SPJ1