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
valentina_108 [34]
3 years ago
7

If (6y − 11)(6y 11) = ay^2 − b, what is the value of a? the value of a is ____________.

Mathematics
1 answer:
Triss [41]3 years ago
7 0
(6y - 11)(6y + 11) = ay² - b    |use (a - b)(a + b) = a² - b²

(6y)² - 11² =ay² - b

36y² - 121 = ay² - b    |add b to both sides

ay² = 36y² - 121 + b        |divide both sides by y² ≠ 0

a = (36y² - 121 + b)/y²

\boxed{a=\dfrac{36y^2-121+b}{y^2}}
You might be interested in
Eight times the sum of 8 and some number is 17. What is the number?
OverLord2011 [107]
Edited answer: The number is:  "- 6" .
_______________________________________________

 8 (8 + x) = 16 ;  

in which "x" represents the number for which to be solved ;

8*8 + 8*x = 16 .

Edit:  64 + 8x = 16 ;

Subtract "64" from each side of the equation:

Edit:   64 + 8x − 64 = 16 <span>− 64 ;

to get:  8x = </span>- 48 ;

Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the <span>equation ; and</span> to solve for "x" ;

Edit:     8x / 8 = -48 / 8 ; 

  Edit:    x = - 6 .
______________________________________________
The number is:  "- 6" .
______________________________________________
 Let us check our answer, by plugging in "-6" for "x" in the original equation:
______________________________________________
8 (8 + x) = 16 ; 

→ 8 [8 + (-6) ]  =? 16 ?? ; 

→ 8 (8 − 6 )  =? 16 ?? ; 

→ 8 (2)  =? 16 ?? ; 

→ 16 = ? 16 ??  Yes!
_________________________________________________
4 0
3 years ago
Read 2 more answers
How do you simplify Radicals?<br>√180v^4​
julsineya [31]

Here are the steps required for Simplifying Radicals:

Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.

Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.

Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

Shorter version:

Step 1: Find the prime factorization of the number inside the radical.  

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

7 0
3 years ago
What does73×62 equal to??
Lina20 [59]
The answer is 4526
Hope this helps!
6 0
3 years ago
Geckos and iguanas are both lizards. The length of an average gecko is about three quarters of the length of an average iguana.
andre [41]
20 in. Because if you divide it by three then multiply it by four you get your answer.
4 0
3 years ago
Read 2 more answers
Evaluate the expression 46−e if e=16 .
Aleksandr-060686 [28]
The answer is 30, hope this helps. 
3 0
3 years ago
Read 2 more answers
Other questions:
  • Briana invested $12,500 into a fund that is expected to grow by 5.25% per year. How long with it take the fund to be worth $25,0
    9·2 answers
  • Every new customer at the Burger Barn qualifies to receive a free whistle. The bag of whistles has 9 black ones, 6 red ones, 7 g
    13·1 answer
  • t takes Phillip 7 hours to proof a chapter of Hawkes Learning Systems' Intermediate Algebra book and it takes Kim 3 hours. How l
    8·1 answer
  • Zoe lives 5/8 mile from the library.She walked 1/3 of the way to the library and ran the rest of the way. How far did Zoe walk?
    5·1 answer
  • Reagan drove 710.24 miles on 18.4 gallons of gas. How many miles per gallon did his car get?
    14·1 answer
  • PLEASE HELP<br> make a the subject of the formula √a/3<br>BRAINLIEST AND THANKS WILL BE MARKED!
    15·1 answer
  • I need help as soon as poible <br> π×5×5×7=
    8·1 answer
  • PLEASE HELP!! What is the slope of the line on the graph?
    12·1 answer
  • Solve for x.<br><br> 3/4x + y = e<br><br> Show work.
    13·1 answer
  • What is the IQR of the box plot?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!