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
Bad White [126]
1 year ago
13

Solving 6x²+9x-1=0 by completing the square root method produces an equation in the form of (x+h)²=k find H and K

Mathematics
1 answer:
marishachu [46]1 year ago
5 0

The value of h is 9/12 and the value of k is 35/48

<h3>How to solve the equation?</h3>

The equation is given as:

6x^2 +9x - 1 = 0

Add 1 to both sides of the equations

6x^2 +9x - 1 + 1= 0 + 1

Evaluate the sum

6x^2 +9x =  1

Divide through the equation by 6

x^2 +9/6x =  1/6

Take the coefficient of x

k = 9/6

Divide by 2

k/2 = 9/12

Square both sides

(k/2)^2 = (9/12)^2

So, we add (9/12)^2 to both sides of the equation x^2 +9/6x =  1/6

x^2 +9/6x + (9/12)^2 =  1/6 + (9/12)^2

Next, we express the left-hand side as a perfect square

(x^2 + 9/12)^2 = 1/6 + (9/12)^2

The form of the equation is given as:

(x + h)^2 = k

So, we have:

h = 9/12

k = 1/6 + (9/12)^2

Simplify

k = 1/6 + (3/4)^2

Evaluate the exponent

k = 1/6 + 9/16

This gives

k = (8 + 27)/48

Evaluate

k = 35/48

Hence, the value of h is 9/12 and the value of k is 35/48

Read more about completing the square at:

brainly.com/question/4331586

#SPJ1

You might be interested in
Find tan A and tan B.
Alex

Step-by-step explanation:

\tan(a)  =  \frac{26}{10}  = 2.6 \\  \tan(b)  =  \frac{10}{26}

8 0
2 years ago
Are the expressions –0.5(3x 5) and –1.5x 2.5 equivalent? explain why or why not.
V125BC [204]

No, the expressions –0.5(3x 5) and –1.5x 2.5 are not equivalent.

Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent.

Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.

Learn more about Equivalent:

brainly.com/question/26992243

#SPJ4

6 0
2 years ago
Kylo bought a pizza for $12.75 and four medium drinks at Pauli's Pizza. Define a variable and write an expression to represent t
mylen [45]

Answer:

Step-by-step explanation:

Let d be the cost of a drink.  The expression for the cost of the pizza and 4 drinks is

12.75 + 4d

If each drink costs $3, then

12.75 + 4(3) simpifies to

12.75 + 12 which equals 24.75

3 0
3 years ago
Chang works as a tutor for $11 an hour and as a waiter for $13 an hour. This month, he worked a combined total of 90 hours at hi
zlopas [31]

Can you show more information please? I need more.

6 0
2 years ago
Read 2 more answers
What would the equation of a line be for the graph of a storm with the same slope as the first two storms, but which began with
ivann1987 [24]

Answer:

not a real answer 11

Step-by-step explanation:

jnjg

4 0
3 years ago
Other questions:
  • Between which two numbers does 1486 fall into
    14·1 answer
  • 21% as a percent as a fraction in simplest form and as a decimal
    9·2 answers
  • If 7=8, how many pineapples are in the ocean
    14·1 answer
  • A certain number, formed of two digits is seven times the sum of its digits it is also 27 less than the number if formed by reve
    12·1 answer
  • How to simplify i^2 with all steps and the answer
    5·1 answer
  • jamal finished 5/6 of his homework .margaret finished 3/4 and steve finised 10/12 of his homeowrk. which 2 students finished the
    13·1 answer
  • What is the slope of the line y=3x-1
    8·1 answer
  • The following graph shows Barry's monthly phone bill and the number of minutes used. How much does Barry pay for consuming 35 mi
    10·1 answer
  • There are 48 female performers in a dance recital. The ratio of men to women is 5:6. How many men are in the dance recital?
    14·1 answer
  • You offered a SALARY job of $43,741, and you are expected to work 44 hours a week.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!