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
Dmitrij [34]
3 years ago
9

If using the method of completing the square to solve the quadratic equation x^2-5x-18=0x 2 −5x−18=0, which number would have to

be added to "complete the square"?
Mathematics
1 answer:
MAVERICK [17]3 years ago
8 0

Answer:

25/4 will have to be added to "complete the square"

Step-by-step explanation:

x² - 5x - 18 = 0

x² - 5x = 18

Find the half of the coefficient of x and square it

(5/2)² = 25/4

Add 25/4 to both sides to complete the square

x² - 5x + 25/4 = 18 + 25/4

x² - 5x + 25/4 = 18(4/4) + 25/4

x² - 5x + 25/4 = 72/4 + 25/4

x² - 5x + 25/4 = (72+25)/4

x² - 5x + 25/4 = 97/4

(x - 5/2)² = 97/4

Find the square root of both sides

√(x - 5/2)² = ±√97/4

x - 5/2 = √97/2

x = √97/2 + 5/2 or x = -√97/2 + 5/2

x = 7.42443 or -2.42443

You might be interested in
Which of these situations can be represented with an integer​ that, when combined with the opposite of 8​, makes​ 0?
Lerok [7]
-8
On the number line if you are at positive 8 and add -8 you will lose 8 and get zero! Hope this helps!
6 0
1 year ago
Alex makes $61,992 per year and pays about 25% of his gross monthly income in federal and state taxes. He wants to find an apart
ivanzaharov [21]

Answer:

Rent each month = $1421

Amount left after rent and taxes monthly = $2453

Step-by-step explanation:

Gross salary; $61,992 per year

His gross pay per month will be;

61992/12 = $5166

Now, the standard recommended rule in budgeting for house rent is to use between 25% to 30% of your monthly pay for rent.

Now, let's adopt an average of 27.5%

Thus;

Amount he can afford for rent each month = 27.5% × 5166 = $1420.65 ≈ $1421

We are told he pays 25% of his gross monthly income in federal and state taxes.

Thus, amount spent on taxes each month = 25% × 5166 = $1291.5 ≈ $1292

Thus, amount he will gave left after rent and taxes = 5166 - (1421 + 1292) = $2453

4 0
3 years ago
What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3
Dmitriy789 [7]

Answer:

Area of the given figure is 51.5 square units.

Step-by-step explanation:

Area of rectangle OCBH = Length × width

                                         = 11 × 8

                                         = 88 square units

Area of trapezoid OGEF = \frac{1}{2}(b_1+b_2)\times h

                                         = \frac{1}{2}(\text{GE+OF)}\times (\text{OG})

                                         = \frac{1}{2}(3+6)\times 4

                                         = 18 units²

Area of trapezoid GCDE = \frac{1}{2}(\text{GC+DE)}\times (\text{GE})

                                         = \frac{1}{2}(7+2)\times 3

                                         = 13.5 units²

Area of triangle AFH = \frac{1}{2}(\text{Base})\times (\text{Height})

                                  = \frac{1}{2}(5)(2)

                                  = 5 units²

Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)

                                           = 88 - (18 + 13.5 + 5)

                                           = 88 - 36.5

                                           = 51.5 units²

Therefore, area of the given polygon is 51.5 units²

3 0
3 years ago
If one factor of x2 + 2x - 24 is (x-6)
kolbaska11 [484]

Answer:

for this equation one factor is (x+6) and the other is (x-4)

5 0
3 years ago
Which function is linear?
natali 33 [55]

Answer:

B) f(x)=13x+4 and C) f(x)=|3x| − 4

5 0
3 years ago
Other questions:
  • A basketball team has 2 freshmen, 5 sophomores, 3 juniors, and 4 seniors. If a captain is chosen at random, what is the probabil
    8·1 answer
  • The ratio of M & M’s to raisins in a bag of trail mix is 3:5. If there are 36 M & M’s, how many raisins are there?
    9·1 answer
  • Is 18,000 g greater than less than or equal to 10 kg?
    9·1 answer
  • #30 a. which shape has 6 faces, 9 edges, 5 vertices?
    12·1 answer
  • Which of the following statements is false?
    6·1 answer
  • PLEASE HELP ASAP WILL GIVE BRAAINLIEST
    12·1 answer
  • There are 20 apples and oranges in the store. There are 6 more apples than oranges. Write an equation to find out how many apple
    10·1 answer
  • Can someone help i’ll mark brilliant
    12·1 answer
  • Which of the following is between 0.40 and 0.47?
    13·1 answer
  • In the stands at a basketball game you counted 96 people wearing orange shirts and 36 people wearing purple shirts what was the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!