If using the method of completing the square to solve the quadratic equation
x^2– 10x + 21 = 0, which number would have to be added to "complete the
square"?

Answers

Answer 1

Answer: 25

Step-by-step explanation: The number that is added to both sides is the number that is needed to create a perfect square trinomial.

The question is, what is that number?

Well, it comes from a formula. The number that is added to both sides always comes from half the coefficient of the middle term squared.

So half of -10 squared or -5 squared which is 25.

So 25 is added to both sides.


Related Questions

8 cm
10 cm
The surface area of the above figure is
A. 816.8 cm2
B. 879.6 cm2
C. 565.5 cm2
D. 1131.0 cm2

Answers

Answer D from the web

In the month of agust, joes snack shack sold 400 sandwiches. If 40% of them were made with chicken, how many chicken sandwiches were sold?

Answers

Answer: 160 chicken sandwiches were sold.

To convert a percentage into a decimal, move the decimal two places back.

40%=0.40, or 0.4

This means that 0.4 is still equivalent to 40%

Remember that "of" means multiplication.

So 0.4*400=160

160 chicken sandwiches were sold

What is the output (y) if the input (x) is -10?
plz exsplain

Answers

Answer:

y = -5

Step-by-step explanation:

y = x / 2

For x = -10

Plug -10 into the equation

y = -10/2

y = -5

------------------

For the remaining values

x     y

0     0

4     2

10     5


The dimensions of triangular prom are shown in the diagram
10 cm
10 cm
cm
34 cm
-12 cm
What is the total surface area of the triangular prism in square centimeters?
A 1,184 sq cm
B 1,632 sq cm
C 3,264 sq cm
D 32,640 sq cm

Answers

Answer:

1,184 sq cm

Step-by-step explanation:

Surface area= 2 (1/2 x 8 x 12 + 34 x 10) + 34 x 12

                    = 1,184 sq cm

Hope this helps!

Use pascal triangle to expand and simplify (5x+4y)³​

Answers

Answer:

125x³+240xy²+64y³ +300yx²

Step-by-step explanation:

Row of pascals triangle to use is 1 3 3 1

For binomial expansion, use a³ +3a²b+3ab²+b³

Which expression is equivalent to - 5 over 3

Answers

Where are the answer choices?

Can someone help me with these problems and explain them as well please

Answers

Answer:

b=112°

Step-by-step explanation:

two complementary angles

b=180°-68°=112°

sum of 2 angles is

x= 35°+25°=60°

Answer:

3. b=112

4. x = 60

Step-by-step explanation:

3.

b is equal to 112 since 68+b will be equal to a supplementary angle; an angle that adds up to 180. 180-68 is equal to 112.

4.

35+25 = 60, therefore x = 60.

Help plz..And No links!! I repeat No links!!

Answers

Answer:54 is the54 d

Step-by-step explanation:

no sorry

Can someone help I’m confused

Answers

Answer:

D and E

Step-by-step explanation:

Let's double check:

D. 9 ÷ 3 = 3

E. 4 × 9 = 36

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Have a great summer :)

Answer:

the answers would be A, D, and E

Step-by-step explanation:

just replace the Cs with the number 9 and solve from there.

for example c/3=3 would say 9/3=3

How to solve this? I have no clue and also teach me on how to solve this! Thank you!!! thank you for your time!!!!

Answers

The answer you have is the correct answer. When reflecting across the x-axis, the x-coordinate will always remain the same, but the y-coordinate value will be the opposite (in this case -5 will become 5)

Question is due soon I need help

Answers

Answer:

looks like C is best guess

Can someone help me please TwT

Answers

The answer is A TwT ;)

I know how do it but the fraction is confusing me please help will give branliest

Answers

Replace x and y in the equation with what they tell you x and y equal.

2(14) / 13 - 9(1/3)

Now simplify:

2 x 14 = 28

9 x 1/3 = 3

You now have:

28/13-3

Simplify again to het 28/10 this can be reduced to 14/5

Jomar decides that he needs to study for an average of 1 hour and 30 minutes
a day in order to prepare for his French test this Friday. He studies for 2 hours
each day on Saturday through Monday, but is too busy to study on Tuesday
and Wednesday. How long must Jomar study on Thursday to be prepared for
his test?

Answers

Answer:

Jomar needs to study for 3 hours on Thursday to be prepared for his test.

Step-by-step explanation:

If we want to make the average a certain amount of time over a certain number of days, we can first figure out the number of days and total amount needed. Here, we can see that the average is 1 hour and 30 minutes, and there are 6 days (Saturday-Thursday). Therefore, as

average = total / length, we can multiply both sides by length to get

average * length = total

Plugging 1.5 hours in for average and 6 days for length, we get

1.5 * 6 = 9 hours as the total amount needed to get an average of 1.5 hours a day

Our total so far is 2 hours for Saturday, 2 hours for Sunday, and 2 hours for Monday. This adds up to 6 hours, and we need 9. The difference between 9 and 6 is 3, meaning that Jomar needs to study for 3 hours on Thursday to be prepared for his test.


The equation of the line that has a slope and passes through the point (-1, -3) is 3x + 2y +3 = 0.

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above

Drag the correct word and the appropriate value to the box with each given interval

Answers

Answer:

this answer is for functional value only

2. R10 000 is invested for two years at 8% per year compounded quarterly
a) Calculate the value of the investment after two years.
b) Determine the Interest earned by the investment.​

Answers

A because you only gave 2 options so that would be logical !

Integer x is evenly divisible by 3. Which expression below is also evenly divisible by 3?

A. 2x+ 1
B. 3x-5
C. 4x-1
D. 4x+6

Answers

Hi! I’m not positive, but I believe it would be D., 6 is the only one that is evenly divided by 3. Once again I’m not positive, I’m only a middle schooler so.... yeah.

Solve the equation of 5(3−4)=8+15

Answers

Answer:

-5 ≠ 23

Step-by-step explanation:

5(3−4)=8+15

5(-1) = 8 + 15

-5 = 23

-5 ≠ 23

solve for X and Y. be sure to solve for both.

Answers

Answer:

x = 48; y = 13

Step-by-step explanation:

20/5 = 52/y

4 = 52/y

4y = 52

y = 13

20/5 = x/12

4 = x/12

x = 4 * 12

x = 48

Answer:

x = 48, y = 13

Step-by-step explanation:

Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48

Can someone help me out with these few problems 1,3,4,6,7,10,12,15
Please only reply back if you really are trying to help me please no spam
I would really appreciate it

Answers

Answer:

Step-by-step explanation:

1) the complete squares of the picture are 12, if we unite the other we can reach 15 squares circa

15 * 50 = 750 square units

3) Area = base x height = 12 * 9 = 108 cm^2

4) Area = (base x height)/2 = (24 * 16)/2 = 192 in^2

6) Area of the square = side ^ 2 = 12^2 = 144 cm^2

height of the triangle = 20 - 12 = 8 cm

Area of the triangle = (base x height)/2 = (12 * 8)/2 = 48 cm^2

Total area = 144 + 48 = 192 cm^2

7) radius = diameter / 2 = 20 : 2 = 10 cm

circumference = radius * 2 * pi = 20 * pi = 62.8 cm

area = radius^2 * pi = 100 * pi = 314.2 cm^2

10) √25 = 5

we have to find a  positive number that multiply by itself gives 25

12) √100 = 10

we have to find a positive number that multiply by itself gives 100

15) √64 = 8

we have to find a positive number that multiply by itself gives 64

a, I see, you split the workload :D

this answer is just a greeting,making you able to choose a brainliest.

if someone leaves a greeting in the other topic, it works there to. :D

1. Find the value of x to the nearest tenth

A. 8.1
B. 7.5
C. 8.9
D. 7.9

Answers

Answer:

C.

[tex]x = 2( \sqrt{ {6}^{2} - {4}^{2} } ) \\ x = 2( \sqrt{20} ) \\ x = 8.9[/tex]

Fiona leaves $1600 in the bank for four years. It earns compound interest of 4% each year. Calculate the total amount Fiona has in the bank at the end of the four years

Answers

Answer:

A = $1,871.77

Step-by-step explanation:

A = P(1 + r/n)nt

Where,

A = Total money in the bank

P = principal = $1,600

r = interest rate = 4% = 0.04

n = number of periods = 1 year

t = time = 4 years

A = P(1 + r/n)^nt

A = 1,600(1 + 0.04/1)^1*4

A = 1,600(1 + 0.04)^4

= 1600(1.04)^4

= 1600(1.16985856)

= 1,871.773696

Approximately,

A = $1,871.77

I need this answer quickly

Answers

X = 23 is the answer

9=5-x÷2

x=23

23-5=18÷2=9

5 oranges cost $2. Find the cost of 20 oranges.

Answers

Answer:  $8

===================================================

Work Shown:

(5 oranges)/(2 dollars) = (20 oranges)/(x dollars)

5/2 = 20/x

5x = 2*20 .... cross multiply

5x = 40

x = 40/5 .... dividing both sides by 5

x = 8

20 oranges cost $8

--------------

Another way to approach the problem is to note that the jump from "5 oranges" to "20 oranges" is "times 4".

5*4 = 20

So we'll apply the "times 4" operation to the old cost of $2 to get the new cost being 2*4 = 8 dollars

Answer:

$8

Step-by-step explanation:

if 5 oranges cost $2 then 1 orange costs 2/5 of a dollar, or 40 cents

20 oranges multiplied by 40 cents is $8

or you can set up a proportion:

2/5 = x/20

cross-multiply to get:

5x = 40

x = 8

A ​$108,000 down payment would be? of the purchase price.

Answers

Answer: 10.8%

Step-by-step explanation:

The question is asking what the percentage of the down payment is of the purchase price of the house.

For such a question, the purchase price needs to be known.

We shall therefore assume a purchase price and you can use the process to find out your percentage.

Assume the purchase price is $1,000,000.

The percentage would be:

= Down payment / Purchase price * 100%

= 108,000 / 1,000,000

= 10.8%

Answer:

10.8%

Step-by-step explanation:

see above

The number of pages in an Algebra book is 99 less than the number of pages in a geometry book.

Write and solve an equation to find the number n of pages in the geometry book.

Answers

Answer: An equation is *629 = n - 99. The geometry book has 728 pages*

Step-by-step explanation: The Algebra book has 99 pages LESS than the geometry book, in other words, the geometry book has 99 pages MORE than the Algebra book. This equation can be used to find the answer. I’m afraid 530 is not the answer.

Hope this helps! :)

A.)90
B.)80
C.)56
D.)24

Answers

Answer:

your answer is C

Molly starts riding her bike to school 20 minutes after her brother Jonas
does. Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour.
How much time will it take for Molly to catch up to Jonas?

Answers

Answer:

It will take Molly 1 hour to catch up to Jonas.

Step-by-step explanation:

Since Molly starts riding her bike to school 20 minutes after her brother Jonas does, and Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour, to determine how much time will it take for Molly to catch up to Jonas the following calculation has to be done:

Jonas = 9 miles per 60 minutes = 3 miles per 20 minutes

Molly = 12 miles for 60 minutes

Jonas = 3 miles + 9 = 12

Molly = 12

Therefore, it will take Molly 1 hour to catch up to Jonas.

Any answers for this question

Answers

Step-by-step explanation:

hear is your both answer

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