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
Irina-Kira [14]
3 years ago
11

Solve the equation by completing the square. 0=4x^2-72x

Mathematics
2 answers:
Butoxors [25]3 years ago
6 0

Answer:

Step-by-step explanation:

First we need to make sure that the leading coefficient is a 1.  Ours is a 4, so we need to factor it out, leaving us with

4(x^2-18x)=0

To complete the square, take half the linear term, square it, then add it to both sides.  But don't forget about that 4 hanging around out front, refusing to be ignored.  Our linear term is 18.  Half of 18 is 9, and 9 squared is 81.  Add 81 into the parenthesis, but what we REALLY added in was 4*81 which is 324:

4(x^2-18x+81)=324

To solve this, we need to get the x terms all by themselves.  So let's divide both sides by 4 to get

x^2-18x+81=81

The process of completing the square created a perfect square binomial on the left.  We will state this binomial now:

(x-9)^2=81

We isolate the x term by taking the square root of both sides:

x - 9 = ±9

From that we have 2 equations:

x - 9 = 9 and x - 9 = -9

Which means that x = 18 or x = 0

Gnom [1K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

You might be interested in
A video store charges $5 per game rental plus $12 to rent the game system. Write an expression for renting the game system and a
spin [16.1K]
Y=5x+12
Y being the total amount and x being the number of games
3 0
3 years ago
What is the equation for the line?
antoniya [11.8K]

Answer:

y=-4x+5

Step-by-step explanation:

the line goes down 4 for every 1 that x changes. the line crosses the y axis at 5.

(this might not be accurate, I can't really see if the line is on the exact point or not)

6 0
3 years ago
Read 2 more answers
A cylinder has a height of 12 feet and a radius of 5 feet. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest
beks73 [17]

Answer: The volume is 942 cubic feet   , 942 ft^3

Step-by-step explanation:

The formula for the volume of a cylinder is  v = pi* r^2 * h

Where v is the volume, r is the radius and h is the height.

Input the values for pi, radius, and the height into the formula to solve for the volume.

v = 3.14* (5^2) * 12

V = 3.14* 25 * 12

V = 942

7 0
3 years ago
Deon finished his math assignment in 2/5 hours. Then he completed his chemistry assignment in 1/2 hours. How much more time did
ipn [44]

Answer:

Deon spent 1/10 of an hour more on chemistry than on math

Step-by-step explanation:

7 0
3 years ago
A grocer wants to make a 10-pound mixture of cash tans peanuts that he can sell for $3.29 per pound. If cashews cost $5.60 per p
bagirrra123 [75]
Label each nut with a variable, c = cashews, p = peanuts.....
for a 10-pound mix, you will need c + p = 10
the price for 10-pounds would become 3.29 x 10 = 32.90 

You will need an unknown amount of cashews at 5.60/lb and an unknown amount of peanuts at 2.30/lbs to get your full 10 pounds valued at 32.90
5.60c + 2.30p = 32.90 

Now you 2 have a system of 2 equations and 2 unknowns
c + p = 105.6c + 2.3p = 32.9utilize substitution to solve:p = 10-c
5.6 c + 2.3 (10-c) = 32.9
solve for c then substitute back into c + p = 10 to solve for P

Hope this helps!
3 0
3 years ago
Other questions:
  • Sum of a number x and three is twelve
    11·2 answers
  • Find the product.<br> 0.00461 x<br> 105
    15·2 answers
  • Help me pls! I don't understand!! !
    10·1 answer
  • There are 15 more boys in cdc in girls. there are 27 girls. how many students are in cdc?
    6·2 answers
  • Let p, q, and r represent the following statements"
    7·1 answer
  • JK Rowling is autographing some of the new Harry Potter books. A store sells 56 books and she is able to autograph 5/8 of the bo
    12·1 answer
  • what does the graph of f(x)=x^2 look like if it is negative make sure to include shape and direction?
    13·1 answer
  • Which word describes the slope of the line?
    14·2 answers
  • Question 1 (10 points) What is the sum of two fractions: 3/4 + 1/6​
    10·1 answer
  • WILL MARK BRAINLIEST
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!