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
Consider these four functions. Choose the one which will be the greatest as x → ∞. A) h(x) = 3x B) f(x) = x25 C) g(x) = 5x500 D)
Nikolay [14]
For this case what you should know is that all functions tend to infinity when x tends to infinity.
 However, there are functions that grow faster than others.
 In this case, the function that grows fastest is the one with the highest exponent.
 We have then:
 g (x) = 5x ^ 500
 The exponent of 500 makes the function grow to infinity faster than the other functions.
 Answer:
 C) g (x) = 5x500
5 0
3 years ago
11
matrenka [14]

Answer:

45 dollar's ezzzzzzzzzzzzz

4 0
3 years ago
About how many times greater is 12,000 miles than 3 • 10^3 miles?
Ad libitum [116K]

Answer:

3•10^3 is 3,000, so the answer is 9,000

8 0
3 years ago
I need help ASAP.... please help....
avanturin [10]

Answer:

(7x-1)(x-3)

Step-by-step explanation:

7x^2 - 22x + 3

The factors have to add to -22, but multiply to equal 3. But since the "a" value has a number on it, you have to use it too.

(7x +/- [n1]) ( x +/- [n2]) = 7x^2 - 22x + 3

Since the two numbers multiply to a positive value, they have to have the same sign. (7x-1) (x-3) works to produce the expression when it's foiled.

3 0
3 years ago
Read 2 more answers
Find the midpoint of the segment joining X(6,5) and Y(9,2). I'm lost geomerty ​
olasank [31]

Answer:

Is there a graph?

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Find the value of k
    5·1 answer
  • Find the equation of the line perpendicular to y= -2x+1 that also intersects the point (8, 2)
    11·1 answer
  • In this arithmetic sequence the difference between each pair of consecutive terms is 1/2 Find the next term in the sequence expr
    14·1 answer
  • Please help me complete the table then graph
    6·1 answer
  • What is the slope of the line ? Please help ill mark u brainliest.
    15·1 answer
  • 3) In the Pacific Ocean, a seal was swimming 110 feet below sea level. As he was searching for food, he dove
    5·1 answer
  • Which circle represents 60% in blue?
    15·2 answers
  • A test was done to look at the maximum speed of mopeds. They found that the maximum speed had a normal distribution with a mean
    12·1 answer
  • one nanometer equals about 0.00000004 inches select from the drop down list correctly complete the sentence when writing this de
    7·1 answer
  • A procedure has an 81% success rate. The procedure is tried on 12 patients what is the probability that at least 8 patients show
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!