rewrite the equation by completing the square. x^2-14+33=0

Answers

Answer 1

Answer:

(x - 7)² = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Completing the Square

Step-by-step explanation:

Step 1: Define

x² - 14x + 33 = 0

Step 2: Rewrite

Isolate x terms:                    x² - 14x = -33Complete the Square:         x² - 14x + 49 = -33 + 49Reduce:                               (x - 7)² = 16

And we have our rewritten form!


Related Questions

Graph the following equations on the graphs below. (GRAPH PAPER ONLY NO WEBSITES) pt.2

Answers

See Below

First, put them into y = mx + b form. From there you can graph them by identifying their slopes and y-intercepts.

Answer:

33. (-2,0) (0,1)

34. (-2,0) (0,6)

Step-by-step explanation:

First, put them into y = mx + b form. From there you can graph them by identifying their slopes and y-intercepts.

9. The mean weight of five Oklahoma State University middle weight wrestlers is
157 pounds. The weights of four of the wrestlers are 152.6 pounds, 162.3 pounds,
155 pounds, and 148.7 pounds respectively. What is the weight of the fifth
wrestler?

Answers

Answer:

Step-by-step explanation:461.6

Help please this is due soon

Answers

Answer:

98

Step-by-step explanation:

Answer:  C) 98 inches

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

There are two ways to find the answer

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

Method 1

Multiply the length and width by the scale factor

10*3.5 = 35

4*3.5 = 14

The new larger rectangle is 35 inches by 14 inches

Add up the four sides: 35+14+35+14 = 98

The perimeter of the larger rectangle is 98 inches

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

Method 2

We can use the formula P = 2(L+W) to get the perimeter of the original rectangle

P = 2(10+4)

P = 2*14

P = 28

The original rectangle has perimeter 28 inches.

Or you could note how 10+4+10+4 = 28

Multiply this with the scale factor to get 28*3.5 = 98 inches

Quickest to answer is brainliest!​

Answers

Answer: 60%, 0.599, 2/3

Step-by-step explanation:

Answer:Second one

Step-by-step explanation:

If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms?

Answers

Answer:

The probability is  [tex]P(\= X < 40.4) = 0.84134[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu =40 \ \Omega[/tex]

   The standard deviation is  [tex]\sigma = 2 \ \Omega[/tex]

   The sample size is  n = 25

    The combined resistance is   [tex]\sum x_i = 1010 \ \Omega[/tex]

Generally the sample mean is mathematically represented as

      [tex]\= x = \frac{\sum x_i }{n}[/tex]

=>   [tex]\= x = \frac{1010 }{25}[/tex]

=>   [tex]\= x = 40.4 \ \Omega[/tex]

Generally the standard error of the mean is mathematically represented as

     [tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]\sigma_{x} = \frac{ 2 }{\sqrt{25} }[/tex]

=>  [tex]\sigma_{x} = 0.4[/tex]

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

       [tex]P(\= X < 40.4) = P( \frac{\= X - \mu }{\sigma_{x }} < \frac{ 40.4 - 40 }{0.4} )[/tex]

[tex]\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )[/tex]

    [tex]P(\= X < 40.4) = P( Z < 1 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1 is

     [tex]P(\= X < 40.4) = P( Z < 1 ) = 0.84134[/tex]

     [tex]P(\= X < 40.4) = 0.84134[/tex]

When you dive in a submarine, you might be at an altitude of

Answers

Altitude diving is underwater diving using scuba or surface supplied diving equipment where the surface is 300 metres (980 ft) or more above sea level (for example, a mountain lake).

Arms Race. A simplified mathematical model for anarms race between two countries whose expenditures fordefense are expressed by the variables x1t2 and y1t2 is:___________

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer : The speed of  e^-5t  is faster and approaches infinity faster than e^t this is because as t → ∞ , e^-5t approaches 0 and e^t remains constant which simply shows that X and Y are constants when t → ∞

Step-by-step explanation:

attached below is a detailed solution of the problem

The speed of  e^-5t  is faster and approaches infinity faster than e^t this is because as t → ∞ , e^-5t approaches 0 and e^t remains constant which simply shows that X and Y are constants when t → ∞

Help please idk what to do

Answers

Answer:

The parallel slopes are the same as the regular slopes. The perpendicular slopes are equal to -1 * (1/slope)

Step-by-step explanation:

Answer:

For Parallel slop is the same. For perpendicular int is opposite reciprocal.

Step-by-step explanation:

For example, the parallel slope of 3 is 3 and perpendicular is -1/3

Which of the ratios below is equivalent to 4:1? Select all that apply.

A) 12:3
B) 24:6
C) 8:4
D) 16:4
E) 10:6

Answers

Answer:

A B and D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

divide by 3

Verizon is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $50
per month. The new plan would charge a flat rate of $15 plus an additional $7.50 per device connected to the network. Find an inequality to show when the
cost of the new plan is less than the cost of the current plan.
O 50 < 15 +7.50x
O 50 < 15 + 7.50.
O 15 +7.503 < 50
O 15 +7.50x < 50

Answers

Answer:

d

Step-by-step explanation:

it goes with the correct statements in the sentences it is the right symbol and has the variable for the unknown amount of devices

What is the solution for 9X 2 -25 = 0

Answers

x = 5/3

x = - 5/3

i believe this is the answer

Pls help thank you :)

Answers

Answer:

points= (0,4) (1,-4) (-1,4) and make the line

Step-by-step explanation:

i just know

Melanie is reading a book that has 577 pages. She has already read 187 pages of the book and will read an additional 26 pages per night. Solve 187 + 26n = 577 to find how many more nights it will take Melanie to finish the book.

Answers

Answer:

15 nights

Step-by-step explanation:

187+26n=577

-187          -187

     26n=390

divide 26 on both sides

         n=15

Triangle abc is similar to triangle def. which proportion can be used to find the length of DE on centimeters (please leave a small explanation)

Answers

Answer: DE=12

Step-by-step explanation:

ABC similar to DEF

That means that AB corresponds to DE , AC to DF and BC  to EF

So AB/DE=AC/DF=BC/EF=5/15=3/9=1/3

So 4/DE=1/3

=>DE=12

Answer:=

Its A = 4/3=DE/9

Step-by-step explanation:

slope = -11 and through the point (5,7)​

Answers

Answer:

y-7=-11(x-5)

Step-by-step explanation:

y-Y^1=mx-X^1

Which equation has a constant of proportionality

To 1/2?

Answers

I have attached an image showing the complete question with the answer options.

Answer:

Option C: y = (3/6)x

Step-by-step explanation:

We are told that the constant of proportionality is 1/2.

Now, in constant of proportionality we use the formula;

y = kx

Where k is the constant of proportionality.

Thus the equation is;

y = ½x

Now, since ½ is a reduced form, we can write ½ as 2/4 or 3/6 and so on.

From the options, we see an equation with; y = (3/6)x

Thus,it's the correct one as when broken down, 3/6 gives ½

What is the perimeter?
5 m
3 m
4 m

Answers

Answer:

12

Step-by-step explanation:

5+3+4=?

8+4=?

12

Solve for X
x+3 1/3=8 1/2

Answers

Answer:x= 31/6

Step-by-step explanation:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

How do you find the rate of change

Answers

Answer:

The answer should be B

Step-by-step explanation:

Because all the y-intercepts are negative, so when you divide by the x-intercepts you will always land up with a negative.

What is the reason for each step in the solution of the equation?

−6x+7x+14=3

Answers

Answer:

−6x+7x+14=3

x = -11

X had the same value so it can perform its calculations. Integers without any variable can perform its calculations also.

Thank you and please rate me as brainliest as it will help me

Please help my math question. I'll be giving brainly.
DO NOT, PUT RANDOM ANSWERS, YOU HAVE BEEN WARNED.

Answers

Answer:

80

Step-by-step explanation:

80

angle a = angle s

amr and msr are similar triangles

Answer:

Simple question!

Step-by-step explanation:

I'm never challenged in school, could you send me your hw each day?

Email ivaliu2008+outlook.com

Also, what grade are you?

Thanks!

Find the new amount if $65 increase 20/

Answers

Answer:

$85

Step-by-step explanation:

Answer:

the new amount would be $85

Step-by-step explanation:

you do $65 and add 20 because it increased 20

can you please mark me brainlest I would mean a lot

HELPPP DUE IN 8 MINS!! There are many cylinders with a height of 9 inches. Let r represent the radius in inches and V represent the volume in cubic inches. Is there a linear relationship between the radius and the volume of
these cylinders?

Answers

The solution is,

R V

1  9π in³

2  36π in³

3  81π in³

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

For, r = 1

V = π(1)²9

  = 9π in³

For, r = 2

V = π(2)²9

  = 4*9π in³

  = 36π in³

For r = 3

V = π(3)²9

  = 9*9π in³

  = 81π in

The solution is,

R V

1  9π in³

2  36π in³

3  81π in³

To learn more on volume click :

brainly.com/question/1578538

#SPJ1

The national history museum has collected 125 dinosaurs.George has collected 3/5 of this amount.How many dinosaurs has george collected?

Answers

Answer: i love you

Step-by-step explanation: i liked all of yours

3^5=(1/3)^x

Help plz I think negative 5 but I’m not sure

Answers

Answer:

your right it's -5

Step-by-step explanation:

What is the Product of 2+√-121 And 3+√-64? The answer must be as a complex number in standard form. Please help​

Answers

Answer:

[tex]94 + 49i[/tex]

Step-by-step explanation:

Given

[tex]2 + \sqrt{-121[/tex] and [tex]3 + \sqrt{-64[/tex]

Required

Determine the products

We have:

[tex](2 + \sqrt{-121}) * (3 + \sqrt{-64})[/tex]

Factorize:

[tex]2(3 + \sqrt{-64}) + \sqrt{-121} (3 + \sqrt{-64})[/tex]

Open Brackets

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{-121} *\sqrt{-64}[/tex]

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{-121*-64}[/tex]

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{7744}[/tex]

Expand the expression in square roots

[tex]6 + 2\sqrt{-1 * 64}+ 3\sqrt{-1 * 121} + \sqrt{7744}[/tex]

Split roots

[tex]6 + 2\sqrt{-1} * \sqrt{64}+ 3\sqrt{-1} * \sqrt{121} + \sqrt{7744}[/tex]

Take positive square roots of 64, 121 and 7744

[tex]6 + 2\sqrt{-1} * 8+ 3\sqrt{-1} * 11 + 88[/tex]

[tex]6 + 16\sqrt{-1}+ 33\sqrt{-1}+ 88[/tex]

Collect Like Terms

[tex]88 + 6 + 16\sqrt{-1}+ 33\sqrt{-1}[/tex]

[tex]94 + 49\sqrt{-1}[/tex]

A complex number in standard form is:

[tex]a + bi[/tex]

Where

[tex]i = \sqrt{-1[/tex]

So:

[tex]94 + 49\sqrt{-1}[/tex]

=

[tex]94 + 49i[/tex]

Hence:

The product of [tex]2 + \sqrt{-121[/tex] and [tex]3 + \sqrt{-64[/tex] is  [tex]94 + 49i[/tex]

Siasia has $120 to spend on new clothes. She finds two pair of jeans on sale for $28.00 each and three shirts that average $18.00 each. If the sales tax is 6.5%, how much sales tax does she pay?

Answers

Answer: Adam,

Step-by-step explanation:

Can you repeat this question in  a spectacular fashion

In the figure, P is the centroid of Abc and BP=8
Find the length of BF

Answers

Answer:

B. 12

Step-by-step explanation:

Based on the centroid theorem,

[tex] BP = \frac{2}{3}(BF) [/tex].

BP = 8

Plug in the value of BP into the equation and find the value of BF.

[tex] 8 = \frac{2}{3}(BF) [/tex]

[tex] 8 = \frac{2*BF}{3} [/tex]

Cross multiply

[tex] 8*3 = 2*BF [/tex]

[tex] 24 = 2*BF [/tex]

Divide both sides by 2

[tex] \frac{24}{2} = BF [/tex]

[tex] BF = 12 [/tex]

use the elimination method to solve the system of equations choose the correct ordered pair -x + y = -2 2x - 3y = 4

Answers

Answer:

The answer is (2, 0).

I hope this helps!

(Ill give brainliest if ya help me :D)


June's flower bed has a length of 8 feet and a width of seven eighths feet. Is the area of the flower bed larger, smaller, or equal to 8 square feet?

A) The area of the flower bed is larger than 8 square feet.
B) The area of the flower bed is smaller than 8 square feet.
C) The area of the flower bed is equal to 10 square feet.
D) The area of the flower bed is equal to 8 square feet.

Answers

Answer:

A) The area of the flower bed is larger than 8 square feet

Step-by-step explanation:

This is the answer, hope it helps!

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