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
A cyclist rides his bike at a rate of 21 miles per hour. What is this rate in miles per minute? How many miles will the cyclist
Citrus2011 [14]
5 days ago, hope this still helps though! 

Alright 21 miles per hour. We know that there are 60 minutes in an hour. So this is basically saying 21 miles per 60 minutes. To find the rate for miles per minute, you divide 21 by 60 which is 0.35. 

In one minute the cyclist rides 0.35 miles
In two minutes the cyclist rides 0.7 miles
5 0
3 years ago
hello everyone right now i started at 9:30 mt and I have to do 3 hours of work I have to do a 30 minute zoom at 11 what time wil
Contact [7]

Answer:1:00

Step-by-step explanation:mark me as brainliest

4 0
3 years ago
Read 2 more answers
Which can be used to expand the expression below?
KiRa [710]

Answer:

Distributive Property

Step-by-step explanation:

We have

5(3x - 6/7)

Distributive Property would work because 5 has to be mutliplied by 3x and -6/7 to rid the parenthesis and also give a final answer for the equation. Any others will lead to a wrong answer.

7 0
3 years ago
Read 2 more answers
Jackson and Jonah are both swimming. Jackson swims at 1350 meters per hour. Jonah swims at a speed of 1250 millimeters per secon
Vladimir [108]

For this question we will use the following relations.

100 centimeters=1 meter (or 1 centimeter= 0.01 meter)

10 millimeter=1 centimeter (or 1 mm=0.1 cm)

60 minutes = 1 hour (or 1 min=\frac{1}{60} hour)

Now, Jackson's speed is 1350 meters per hour. This can be converted to cm per minute as follows:

\frac{1350 m}{1 h}=\frac{1350\times 100 cm}{60 min}=2250 cm/min...Equation 1

Likewise, Jonah's swim speed in cm/min can be calculated as:

\frac{1250 mm}{1 s}=\frac{1250\times 0.1 cm}{\frac{1}{60}min } =\frac{125\times 60 cm}{1 min}=7500cm/min...Equation 2

As we can see clearly after comparing Equation 1 and Equation 2, Jonah's swim speed of 7500 cm/min is faster than that of Jackson.

Thus, option B is correct.

7 0
3 years ago
Given the quadratic function g(x)=x^2, find g(3x-2).
maxonik [38]

Answer:

g(3x-2) = (3x-2)^{2}

Step-by-step explanation:

g(x)=x^{2}

To do this, you must substitute 3x-2 for x in the equation g(x)

g(3x-2) = (3x-2)^{2}

Simplified this would be

9x^{2} -12x+4

7 0
3 years ago
Other questions:
  • If yuri has 20 books in each shelve and there are 6 bookshelves how many book are in the bookcase
    8·1 answer
  • How to find the absolute value of functions
    6·1 answer
  • Compare 0.56 and 0.65
    9·2 answers
  • Who goes to lamar county schools?
    14·1 answer
  • Given f(x) and g(x) = k.f(x), use the graph to determine the value of k
    15·1 answer
  • What is the quotient of 24336 ÷ 48 ?
    14·2 answers
  • Give a list of three rational numbers, each in a different form. Do not order the numbers.
    14·1 answer
  • Daniel, Clarence, and Matthew split a $20.20 dinner bill so that Daniel pays half of what
    7·1 answer
  • Line a passes through (-2,1) and (0,3)
    9·1 answer
  • A pizza place offers 2 different types of crust, 3 different types of cheese, and the option of 5 different toppings. How many d
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!