1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lyrx [107]
3 years ago
6

Let ​ x^2+18x=44 .​ What values make an equivalent number sentence after completing the square?

Mathematics
2 answers:
Lostsunrise [7]3 years ago
6 0
To find the final term to compete the square you need to divide the 'x' term by 2 then square it

x^2 +18x + = 44+ \\ x^2+18x+( \frac{18}{2} )^2=44+( \frac{18}{2} )^2 \\ x^2+18x+9^2=44+9^2 \\ x^2+18x+81=44+81 \\ (x+9)^2=125 - equivalent equation
Katyanochek1 [597]3 years ago
5 0

Answer:

The value of x are 2.18 and -20.8.

Step-by-step explanation:

Given : Equation x^2+18x=44

To find : What values make an equivalent number sentence after completing the square?

Solution :

Equation x^2+18x-44=0

Applying completing the square,

Step 1 - Make the coefficient of x be 1

x^2+18x-44=0

Step 2 - Add and subtract the square of  half of the coefficient of x

i.e. square of 9

x^2+18x-44+9^2-9^2=0

Step 3 - Form the identity (a^2+2ab+b^2)=(a+b)^2

x^2+2.9.x+9^2-44-81

(x+9)^2-125=0

Completing the square form of the given equation is (x+9)^2-125=0

Now, we solve for x

(x+9)^2=125

x+9=\sqrt{125}

x+9=\pm 11.18

x=\pm 11.18-9

x=11.18-9,-11.8-9

x=2.18,-20.8

Therefore, The value of x are 2.18 and -20.8.

You might be interested in
G(1) = 0<br> =<br> lgn= ) +m<br> g(n) = g(n - 1) +n<br> =<br> -<br> n<br> g(2) =
yKpoI14uk [10]

Answer:

g(1) = 0

=

lgn= ) +m

g(n) = g(n - 1) +n

=

-

n

g(2) =12

Step-by-step explanation:

12345678910

6 0
2 years ago
Write g-12 in words
larisa [96]
I'm guessing you are looking for an algebraic sentence. In that case, 12 less than g would make sense, or 12 subtracted from g
8 0
3 years ago
Wench model represents the factors of x^2+9x+8?
LenaWriter [7]
I don't know go to the photo math or others xxx2
3 0
3 years ago
The line plot shows the different lengths of nails in your toolbox. If you take all the nails
sukhopar [10]
The nails less than 2 inches long are the ones that are 1/2”, 1”, and 1 1/2”, if I am reading the table correctly.

4 x 1/2” = 2”
2 x 1” = 2”
2 x 1 1/2” = 3”
2 + 2 + 3 = 7 inches

7 0
3 years ago
tomika ran 84 miles in 4 weeks. She ran 7 days each week. If she ran the same number of miles each day, how many miles did she r
LekaFEV [45]
Three miles a day should be the correct answer
3 0
3 years ago
Other questions:
  • In the American Heart Association journal Hypertension, researchers report that individuals who practice Transcendental Meditati
    8·1 answer
  • What is not a good reason to refinance
    8·2 answers
  • Write each statement as an algebraic expression.
    15·1 answer
  • I need help please.
    9·1 answer
  • Is the graph increasing decreasing or constant?
    8·2 answers
  • Larry wants to buy some carpeting for his living room. The length of the room is 2 times the width and the total area of the roo
    13·1 answer
  • Could someone help me
    11·1 answer
  • Help..............me................please...............
    11·1 answer
  • PLEASE HELP 7TH GRADE MATH
    15·1 answer
  • Three bags of rice weigh 90 kgs. How much do 9 bags weigh?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!