Rewrite the equation by completing the square. x^{2}+4x-21 = 0

Answers

Answer 1

Answer:

x={3,-7}

Step-by-step explanation:

brackets for list

Solve with quadratic formula

separate the solutions

Square

Answer 2

Answer:

2 for the first box and 25 for the second one.

Step-by-step explanation:


Related Questions

Please help :) thank you to whoever does help!?

Answers

Answer:[tex]\boxed{\boxed{\sf{a=5}}}[/tex]Solution Steps:

____________________________

1.) Fill in the formula: F = [tex]B^2-C^2=A^2[/tex]F = [tex]12^2-13^2=A^2[/tex]F = [tex]144-169=A^2[/tex]

2.) Subtract:[tex]169-144=25[/tex]

3.) Find the square root of 25:[tex]\sqrt{25} =5[/tex]

So your answer would be C, [tex]\bold{a=5}[/tex].

____________________________

ver imagen para la pregunta

Answers

Answer: C

Step-by-step explanation:

Amy,Corey, and John go to Central Park to throw a flying disk among themselves. they stand at the positions as shown on the coordinate grid below...PLEASE HELP QUICK! I WILL GIVE BRAILY ANSWER THING PLEASEEE

Answers

Hey I can help answer this but you have to add the picture of the grid

Answer:

B

Step-by-step explanation:

It is what it is

THE ANSWER IS NOT LETTER b. 2
Independent Practice

Now practice solving some problems.

Which number is a solution of the inequality ?
4−m/m ≥ 5


A.
0.5


B.
2


C.
–4


D.
0.75

Answers

B is the answer for your question

Answer:

A.

0.5

Step-by-step explanation:

*
1. Find the value of the discriminant.
3x2 - 6x + 3 = 0
O 29
0 -18
OO
O 23

Answers

0 -18 is the answer to your question

What is the perimeter

___ miles

Answers

I think the anwser for this is 60 in miles

Answer:

23

Step-by-step explanation:

what is the equation of the line that passes through the point (-6,-6) and has a slope of 2/3?

Answers

Answer:

-6=2/3*-6

Step-by-step explanation:

y=mx+b

slope = m b=y intercept

I need some help with this, just like Rocky, ASAP!

Answers

Answer:

12 possible roots

Step-by-step explanation:

we can use the rational zeros theorem which says that in order to find the possible roots for a polynomial we need to divide the factors of the constant by the factors of the coefficient of the leading term

which in this case is:

±(1, 2, 3, 4, 6, 12)/(1)

±1, 2, 3, 4, 6, 12

so we have 12 possible roots

Find the circumference of the pizza to the nearest hundredth.
18 in.
be
RE
circumference: about
GLASE
SHELIN
HALL​

Answers

Complete Question

Find the circumference of the pizza to the nearest hundredth.

When Diameter = 18 in.

Answer:

56.55 inches

Step-by-step explanation:

A pizza is circular in shape.

The formula for the circumference of a circle is given as:

πD

Where D = Diameter

From the above question,

Diameter = 18 inches

Hence,

Circumference of the circular pizza = π × 18 inches

= 56.548667765 inches

Approximately = 56.55 inches

the base of the cylinder? Use 3.14 for n and round the answer
to the nearest hundredth.
h-13 in
r =
in.

Answers

Answer:

r = 7

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

Given:

V = 2000

h = 13

Work:

V = πr²h

r² = V/(πh)

r² = 2000/(3.14 * 13)

r² = 2000/40.82

r² ≈ 49

[tex]\sqrt{r^2} =\sqrt{49}[/tex]

r = 7

a) Work out the size of angle x.
100
B
b) Give reasons for your answer.
co-exterior angle
to
F
Н
G

Answers

Answer:

100°= angle b(VERTICAL OPPOSITE ANGLE)

100°+x°=180°[co interior angle]

x=180°-100°

x=80°

The Measure for angle x is 80 degree.

What is Vertical Angle?

When two straight lines cross, they generate a pair of non-adjacent angles known as vertical angles. In the corners of the "X" created by two straight lines, or to put it another way, vertical angles are situated opposite one another. Due to their position opposite one another, they are also known as vertically opposite angles.

Given:

<CBD = 100 degree.

So, <ABF = <CBD (Vertical Opposite Angle)

<CBD = 100 degree.

Now, <ABF + <BFE = 180 (Angle on same side of Transversal)

<ABF + 100 = 180

<ABF = 180-100

x= 80 degree.

Hence, the measure for x is 80 degree.

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$35 sweater ; 18% discount ; 3% tax ; find sales price

Answers

Answer: $27.65

Step-by-step explanation:

0.18 = 6.3

Discount = $6.3

0.03 = 1.05

Tax = 1.05

35 - 6.3 - 1.05 = 27.65

Hi! i need help asap!!

Answers

Answer:

4. 3/5

5. 1/12

6. 5/12

hope this helps

good day mate

An electric frying pan was on sale for 20 percent off. The sale price was $36. What was the original price?

Answers

Answer: $45

Step-by-step explanation:

Let the original price be x.

Since there was a discount of 20%, it means the person bought the frying pan at (100% - 20%) = 80% of the original price. This can then be formed into an equation as:

80% × x = $36

0.8 × x = $36

0.8x = $36

x = $36/0.8

x = $45

The original price was $45

A bag contains 12 red checkers and 12 black checkers. 1/randomly drawing a red checker 2/randomly drawing a red or black checker

Answers

Answer:

(I suppose that we want to find the probability of first randomly drawing a red checker and after that randomly drawing a black checker)

We know that we have:

12 red checkers

12 black checkers.

A total of 24 checkers.

All of them are in a bag, and all of them have the same probability of being drawn.

Then the probability of randomly drawing a red checkers is equal to the quotient between the number of red checkers (12) and the total number of checkers (24)

p = 12/24 = 1/2

And the probability of now drawing a black checkers is calculated in the same way, as the quotient between the number of black checkers (12) and the total number of checkers (23 this time, because we have already drawn one)

q = 12/23

The joint probability is equal to the product between the two individual probabilities:

P = p*q = (1/2)*(12/23) = 0.261

T

I NEED HELP ASAP PLEASEEEEE!!!!! ONLY ON 9a ND 9b!!!!!!

Answers

9A:

The problem says 35% of the 3560 applications are from boys who lived in other states.

This can be expressed as:

3560*35% = 3560*0.35 = 1246 applications.

9B:

The problem says applications to the university (3560 applications) represented 40% of all applications.

This can be expressed as:

3560 = 40% * A, where A = number of applications received in all.

To find how many applications received in all, just solve for A.

A = 3560 / 0.4 = 8900 applications.

The key to these types of problems is that "of" signals multiplication. For example, 40% of all applications is 40% * all applications.

What is the value of x? sin(x+37)°=cos(2x+8)° Enter your answer in the box. x =

Answers

The answer is x = 15.

15 or 20.33 are the possible values of the x.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

We know that sin(x+37)°=cos(90°-(x+37)°) and cos(2x+8)°=sin(90°-(2x+8)°)

So we have sin(x+37)°=cos(2x+8)° becomes sin(x+37)°=sin(82°-2x)

For the above equation to be true, either of the following must hold:

x+37 = 82 - 2x (since the sin function is periodic)

x+37 = 180 - (82-2x)

Solving the first equation for x gives:

3x = 45

x = 15

Solving the second equation for x gives:

3x = 61

x = 20.33 (rounded to two decimal places)

Therefore, the possible values of x are 15 or 20.33 (rounded to two decimal places).

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Which sequences are geometric? Check all that apply. –2, –4, –6, –8, –10, … 16, –8, 4, –2, 1 –15, –18, –21.6, –25.92, –31.104, … 4, 10.5, 17, 23.5, 30, … 625, 125, 25, 5, 1, …

Answers

Answer:

16,-8,4,-2,1

-15,-18,-21.6,25.92,-31.104...

625,125,25,5,1

Step-by-step explanation:

Answer: 16, –8, 4, –2, 1. has a common ratio,r = (-1/2)

-15, –18, –21.6, –25.92, –31.104 has a common ratio, r = (1.2)

625, 125, 25, 5, 1 has a common ratio, r= (1/5)

Step-by-step explanation: just took the test

Answer this question to get marked as barinliest!!!!

Answers

3.14 × 16 = 50.24

C is ur answer

now gimme brainliest

Answer:

B or the second one i did  my math

Step-by-step explanation:

ok so i thought i knew what i was doing but then i didn't know what i was doin-

Answers

answer: A

explanation: i did this last year and kept my paper! good luck!

Boats from all along the Atlantic coast dock at a busy marina. Of the first 10 boats to dock at the marina one day, 5 were from Connecticut. Considering this data, how many of the next 12 boats to dock should you expect to be from Connecticut?

Answers

Answer:

8

Step-by-step explanation:

The expected number of boats of the next 12 boats to dock is from Connecticut is 6.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Boats from all along the Atlantic coast dock at a busy marina.

Of the first 10 boats to dock at the marina one day, 5 were from Connecticut.

Probability that the boats which dock are from Connecticut = 5/10 = 1/2

When the next 12 boats also arrive,

Expected number of boats from Connecticut = 1/2 × 12 = 6

Out of 12, 6 boats are from Connecticut.

Hence the expected number of boats is 6.

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if the third term is 20 and 7th is 1.25, find the 11th term

Answers

Answer:

the 11th term is 0.0000488 or 4.88*10^-5.

Step-by-step explanation:

a3 = 20, a7 = 1.25

a7 = a3r^7-3

1.25 = 20r^4

r^4 = 0.0625

r = 4th root of 0.0625

r = 0.5

a3 = a1r^3-1

20 = a1(20)^2

400a1 = 20

a1 = 0.05

a11 = 0.05(0.5)^11-1 = 0.0000488 or 4.88*10^-5

The work of a student trying to solve the equation 2(4x − 3) = 9 + 2x + 6 is shown below: Step 1: 2(4x − 3) = 9 + 2x + 6 Step 2: 8x − 3 = 15 + 2x Step 3: 8x − 2x = 15 + 3 Step 4: 6x = 18 Step 5: x = 3 In which step did the student first make an error and what is the correct step? (4 points) a Step 2: 8x − 3 = 15 + 2x b Step 2: 8x − 6 = 15 + 2x c Step 3: 8x + 2x = 15 + 2 d Step 3: 8x − 2x = 15 − 2

Answers

Answer:

Step-by-step explanation:

2(4x - 3) = 9 + 2x + 6               Combine the like terms on the right

2(4x - 3)  = 2x + 15                   The distributive property gets rid of the brackets

8x - 6 = 2x + 14                        Add 6 to both sides

     6              6

8x = 2x + 20                            Subtract 2x from both sides

-2x   -2x        

6x = 20

Step 2 is the error. It is a very common error. You multiply 2 and - 3 together. as well as 2 and 4 together. If you are going to forget something that will be it.

In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below.

Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.

Answers

Answer: 1.

Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.

2.

The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.

3.

With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.

4.

With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.

Step-by-step explanation:

Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennifer is planning on buying is one-quarter of the number of noisemakers. If Jennifer buys 65 items, how many noisemakers does Jennifer buy? Write and solve an equation using a variable for this problem. <3

Answers

Couldnt find the link but answer is in a pic online

What is the area of this shape can someone please help

Answers

Answer 10x8=80+3

Step-by-step explanation:

i.d.k 83?????

please help.
I need which letters to click

Answers

The answers are A CE

urgente porfa 50 PUNTOS POR LAS 3 FICHAS

Answers

You dont deserve answers if ur gonna do that to other people.

3. The graph y = x2 - 3 is translated down 6 units. What would be the new function rule? Y=8² - 9 À​

Answers

Answer:

a= −1/9y+64/9

Explain how to solve 4640 divided by 10. use complete sentences!!

Answers

Answer:

464

Step-by-step explanation:

the number has one, zero at the end. same for the ten.

4640 10

just take zero for zero and you end up with 464

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