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
alex41 [277]
3 years ago
14

What is (81x^2 -4y^2) square units factored?

Mathematics
1 answer:
slavikrds [6]3 years ago
4 0
To solve, use the difference of squares rule. (a^2-b^2)=(a-b)(a+b). In your equation, your a^2=81x^2 and your b^2=4y^2, making your a=9x and your b=2y. This makes your factored form (9x-2y)(9x+2y).
You might be interested in
Please help. How do you find cosine, sine, cosecant and secant with this triangle? ​
Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

  • sine (sin) = opposite/hypotenuse
  • cosine (cos) = adjacent/hypotenuse
  • tangent (tan) = opposite/adjacent
  • cosecant (cosec/csc) = hypotenuse/opposite
  • secant (sec) = hypotenuse/adjacent
  • cotangent (cot) = adjacent/opposite
  • cosecant is the reciprocal of sine
  • secant is the reciprocal of cosine
  • cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

  • Trigonometric Ratio
  • Adjacent = 12
  • Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

  • a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

  • 10²+12² = c²
  • 100+144 = c²
  • 244 = c²

Thus, the hypotenuse is:

\large \boxed{c = 2 \sqrt{61} }

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

  • cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = <u>(6√61) / 61</u>
  • sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = <u>(5√61) / 61</u>
  • cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = <u>√61/5</u>
  • secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = <u>√</u><u>61</u><u>/</u><u>6</u>

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

5 0
3 years ago
Look at the sequence in the table.
malfutka [58]

Answer:

A

Step-by-step explanation:

The consecutive values of a_{n} have a common difference d, that is

d = 8 - 3 = 13 - 8 = 18 - 13 = 23 - 18 = 5

This indicates that the sequence is arithmetic.

The recursive formula allows the next term in the sequence to be found from the previous term by adding 5, thus

a_{n} = a_{n-1} + 5 → A

7 0
3 years ago
The cost for a pack of 8 padlocks is 19.20. Find the unit price in dollars per padlock. if necessary, round your answer to the n
muminat
19.2 / 8 = 2.4
$2.40 is your answer
5 0
3 years ago
Ile to 2 +2 nie piszcze nic tylko sprawdzam
Bumek [7]

Answer:

Could you rewrite this question in english so we can understand what is being asked? Thank you!

Step-by-step explanation:

6 0
3 years ago
F(x) = -x^2 + 5x – 2<br> Find f(-4)
disa [49]

Answer:

2

Step-by-step explanation:

if f(4), than -4^2=-16

5(4)=20

-16+20-2=2

8 0
2 years ago
Other questions:
  • Trig please help
    9·2 answers
  • Which symbol makes the statement true
    5·2 answers
  • At the theater, Fred purchased x popcorns and y drinks. He spent a total of $26. The equation below describes the relationship b
    7·2 answers
  • PLEASE HELP ME! I NEED ANSWER ASAP!!!
    8·1 answer
  • There are 42 books in Mr. Long’s class library. Some books are paperback, some books are hard cover. There are 18 paperback book
    8·1 answer
  • If h(x)=(f o g) (x) and h(x)= ∛x+3, find g( x) if f(x)= ∛x+2 (picture attached)
    11·1 answer
  • Enter the correct answer in the box.<br> Simplify the expression x^5•x^7
    12·2 answers
  • 2. H = 5 cm<br> W= 4 cm<br> L= 8 cm<br> V= L×W×H<br> =___×___×___<br> =______cm3​
    7·2 answers
  • A)Solve for x: <br> y = 130 − 4x<br><br> b) What is the value of x when y = 120
    7·1 answer
  • Please help explanation if possible
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!