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
asambeis [7]
3 years ago
15

How can i solve by completing the square 4r^2-28r=-49

Mathematics
1 answer:
Natalija [7]3 years ago
3 0
To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.

4r^2 - 28r = -49

\dfrac{4r^2}{4} - \dfrac{28}{4}r = -\dfrac{49}{4}

r^2 - 7r = -\dfrac{49}{4}

Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.

r^2 - 7r + \dfrac{49}{4} = -\dfrac{49}{4} + \dfrac{49}{4}

(r - \dfrac{7}{2})^2 = 0

r - \dfrac{7}{2} = 0

r = \dfrac{7}{2}
You might be interested in
Four balls of wool will make 8 knitted caps. How many balls of wool will Malcom need if he wants to make 6 caps
arsen [322]
8x = 4
x = 1/2

6(1/2) = 3 caps

3 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP!!!!!
kodGreya [7K]
We need 6.5% to a decimal so..
6.5% /100 = 0.065

$21.30 X 0.065 = 1.3845 tax on the shirt
 
So.. we add the price of the shirt, and the amount of tax on the shirt
$21.30 + 1.3845 = $22.6845

Answer = $22.68
3 0
3 years ago
Find the value of angle "A" and angle "B"​
Harman [31]
The answer is 41

Because 90-49
8 0
3 years ago
Read 2 more answers
If bruce waits for five years to begin paying back his loan, how much will he owe?
Paraphin [41]
Well depending on how much he asked for can you please give more details
3 0
1 year ago
Which fractions are equivalent to twenty-five over forty-five? A. five over nine, fifteen over twenty-eight B. thirty over forty
Reptile [31]

Answer:

The answer is A

Step-by-step explanation:

25/45

= (25÷5)/(45÷5)

= 5/9

3 0
3 years ago
Other questions:
  • What is 3.6 as fraction?
    15·2 answers
  • 3a+4b=5a-t solve for a
    13·2 answers
  • The following function represents the value of a house, in dollars, after x years: f(x) = 242,000(1.04)x What does 1.04 represen
    6·1 answer
  • Determine the average/mean of the following set of integers: -7, 12, 3, -4, 8, -1, 3
    10·2 answers
  • Find the surface area of the pyramid shown to
    9·1 answer
  • What type of transformation is used<br> when the line y = vx is transformed<br> into y= 5x?
    13·1 answer
  • learning task 2:read and analyze the given problem below on a sheet of paper.in a classroom there are five 20 -watt fluorescent
    15·1 answer
  • Irene has 2 yards of fabric how many 1/5 yard pieces does she cut altogether?
    13·1 answer
  • Question 2 of 10
    7·1 answer
  • A system of two linear inequalities is graphed as shown, where the solution region is shaded. Complete the sentences below by de
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!