The radius of a circle is 6 centimeters.
Enter the area of the circle, in square centimeters. Round your answer
to the nearest hundredth.

Answer:

I believe it could be any number because:

let y=any number

x^2+10x+y=16+y

x^2+10x+y-y=16+y-y

x^2+10x=16

you can add any number to both side and not change the solution.

The student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

To complete the square for quadratic equation ax² + bx + c = 0 means we make the left hand side of the equation a perfect square.

1) First divide both the sides of the equation by the coefficient of x² that is 'a'

2) Add or subtract both the sides of the equation by (b/2)² that is complete the square

3) Solve the resulting equation to find the roots of the equation

For given example,

We have been given a quadratic equation x² + 10x+ ___ = 16 + ___

By comparing given equation with ax² + bx + c = 0,

we have a = 1, b = 10

To complete the square for given quadratic equation we add (b/2)² on both the sides.

⇒ (b/2)² = (10/2)²

⇒ (b/2)² = 5²

⇒ (b/2)² = 25

So, the quadratic equation would be,

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 41

⇒ x + 5 = ±√41

⇒ x = -5 ± √41

So, the solutions of the quadratic equation would be x = -5 + √41 and x = -5 - √41

Therefore, the student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

Learn more about the completing the square here:

https://brainly.com/question/4822356

#SPJ2

A.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Common Factors: 1, 2, 3, 4, 6, and 12

-----

B.

Factors of 16: 1, 2, 4, 8, and 16.

Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56

Common Factors: 1, 2, 4,  and 8

-----

C.

Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.

Factors of 75: 1 , 3 , 5 , 15 , 25 and 75

Common Factors: 1, 3, 5, and 15.

-----

D.

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Common Factors: 1, 2, 3, 6, 9, and 18.

-----

E.

Whenever finding the greatest common factors of any pair of numbers it is necessary to list all the factors of each number. Then find the number that appears in both!

Answer:

(x+1) (x−6)

Step-by-step explanation:

Answer:

x 2 − 5 x − 6

Step-by-step explanation:

Answer:

The correct answer is C.

Step-by-step explanation:

Answer: C. 102 cm

Step-by-step explanation:

I took the quiz on Edge, and it is correct.

Step-by-step explanation:

4x+15y= 40-5y= 20

= 4x+15y+5y= 40-20

4x+20y= 20

Answer:

4 cups

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

60/4=15 15x3(75%)=45

your sweater is $45 with the discount

Answer:

30%

Step-by-step explanation:

14/20 is 70% he gave away, so 30% is left.

Answer:

30%

Step-by-step explanation:

I hope this helps :)

Answer:

$34.50

Step-by-step explanation:

First, how many 3/4 lbs are in 7.5 lbs?

7.5 lbs = 15/2 lbs.

(15/2) / (3/4) = 10

There are 10 "3/4" lbs in 7.5 lbs.

So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.

Let me know if this helps!

Answer:

The probability that at least 1 defective card is in the sample is [tex]0.9644[/tex]

Step-by-step explanation:

Here

N = 140

and n = 20

We will use the below given formula

P(at least 1 defective) = 1 - P( 0 defectives)

P( 0 defectives) =

[tex]= \frac{^{20}C_0 * ^{120}C_{20}}{ ^{140}C_{20}}\\= 0.0356 1-0.0356 \\= 0.9644[/tex]

Answer:

I know you go to aops...

Step-by-step explanation:

First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!

Answer:

15

Step-by-step explanation:

A÷B= H (Area divided by base equals height)

315÷21= 15

Answer:

height = 15

Step-by-step explanation:

Area of a parallelogram: Base * height

Plug in the values we know.

21 * height = 315

Divide both sides by 21

height = 15

Answer:

they form a single straight line:)

Answer:

a line

Step-by-step explanation:

Here is ray AB  

     A                         B

     +----------------------+------------------->

It starts at point A, goes through point B, and goes only in one direction, to the right. Points A and B lie on line AB.

Now I'll add an opposite ray whose endpoint is also point A.

             C                A                         B

<-----------+--------------+----------------------+------------------->

Ray AC also lies on the same line as ray AB, but starting at point A, it goes in the opposite direction of ray AB. When you add ray AC to its opposite ray AB, you get the entire line AB.

Answer: a line

Answer:

c.

Step-by-step explanation:

4/3 pi r²

4/3 × 3.142 or 22/7 × 3.5²

Answer:

perfect square / rational

4

Step-by-step explanation:

Answer:

root of 16. or 4

Step-by-step explanation:

Answer:

A.........................

Answer:

2

Step-by-step explanation:

is this for a test because if so good luck

Answer:

its 20 Period

Step-by-step explanation:

You didn't provide enough information.

4.25 x 6.86 = 29.155

19.

I hope this answer helped! please mark brainliest and vote 5 stars >:)

Answer:

x=4

Step-by-step explanation:

i used mathaway

3x+2 = 7x-14

Answer:

342.30

Step-by-step explanation:

342.296 would round up because 6 is higher than five. The 0.09 would round up to 0.10, making the 0.2 become a 0.3.

9514 1404 393

Answer:

Step-by-step explanation:

Using 'y' and 'z' to represent angles with the corresponding names, we have ...

  y + z = 90

  (3b -1) +(2b +6) = 90 . . . . substitute the given expressions

  5b +5 = 90 . . . . . . . . . . . . simplify

  b +1 = 18 . . . . . . . . . divide by 5

  b = 17 . . . . . . . . subtract 1

Then the angles are ...

  y = 3b -1 = 3(17) -1 = 51 -1 = 50

  z = 2b +6 = 2(17) +6 = 34 +6 = 40 . . . . note that these are complementary, as theys should be

Angles W and Y form a linear pair, so are supplementary:

  W = 180 -Y = 180 -50 = 130

Angles X and Z form a linear pair, so are supplementary:

  X = 180 -Z = 180 -40 = 140

Then the angle measures are ...

Answer: D

Step-by-step explanation: 20,20

Answer:

20% off

Step-by-step explanation:

Answer:

21%

Step-by-step explanation:

To calculate the percentage discount between two prices, follow these steps:

Subtract the post-discount price from the pre-discount price.

Divide this new number by the pre-discount price.

Multiply the resultant number by 100.

$51.35-65=13.65

13.65/65= -0.21

-0.21*100=-21

Answer:

The Sale Price is $16.80 Dollars

Step-by-step explanation:

First I find out what 30% of 24 is.

24 * 30% = 7.2

Next we subtract.

24 - 7.2 = 16.80

So, the answer is 16.80

Hope this helps! :)

Answer:

5/10 and 3/10

Step-by-step explanation:

because i believe that if u have 5 pencils and 5 pens all together thats 10 so it would be a 5/10 chance same with the second one hopefully this is right and i dont know if its simplified

Answer: The answer is 300

Step-by-step explanation: The triangle formula = ( B · H) ÷ 2

B = 5     H = 12     5 · 12 = 60 ÷ 2 = 30

Since there is two triangles you will have two 30's.

The rectangle farthest to the right = 13 · 8 = 104

If you unfold the triangle it will line up perfectly with the 3 rectangles, so...

The middle rectangle = 5 · 8 = 40

The rectangle farthest to the right = 12×8 = 96

Add them all up

30 + 30 + 104 + 40 + 96 = 300

Hope this helped!

Answer:

300

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 2/5 cookies in 4 mins

To find the unit rate in minutes, divide 6 2/5 and 4 by 4.

In one minute is 1.6 cookies.

To find the unit rate in cookies, we divide by 6 2/5.

For one cookie, there are 5/8 minutes.