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
KiRa [710]
2 years ago
6

Simplify and answer the boxes.

Mathematics
1 answer:
s2008m [1.1K]2 years ago
6 0

Answer:

\huge\boxed{\dfrac{x^2+9^2}{x-3y}+\dfrac{6xy}{3y-x}=x-3y}

Step-by-step explanation:

Domain:

x-3y\neq0\Rightarrow x\neq3y

\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{3y-x}=\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{-(x-3y)}\\\\=\dfrac{x^2+9y^2}{x-3y}-\dfrac{6xy}{x-3y}=\dfrac{x^2+9y^2-6xy}{x-3y}\\\\=\dfrac{x^2-2(x)(3y)+(3y)^2}{3y-x}=\dfrac{(x-3y)^2}{3y-x}\\\\=\dfrac{\bigg[-1(3y-x)\bigg]^2}{3y-x}=\dfrac{(-1)^2(3y-x)^2}{3y-x}\\\\=\dfrac{1(x-3y)(x-3y)}{x-3y}=x-3y

Used:

The distributive property: a(b + c) = ab + ac

(a - b)² = a² - 2ab + b²

You might be interested in
Of the 35 students in my class, 11 practice karate, 11 play piano, and 20 take math lessons. $ students play piano and go to mat
Andrews [41]
There are twenty four students that do all
4 0
3 years ago
Read 2 more answers
Analyze the graph of the cube root function shown
Greeley [361]

The values of a, h, and k in the general equation is h=1, k=4 and a=2

<h3>What is parent function?</h3>

The function which can be transformed into different ways is the parent function.

On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).

The given function is

y =a³ √(x -h) + k

Put the coordinate (0,2) in the equation, we get

2 = a³ √(0 -h) + k..................(1)

Plug (1, 4), we have

4 =  a³ √(1 -h) + k..................(2)

Plug (2, 6), we have

6 =  a³ √(2 -h) + k..................(3)

On solving these three equations, we have

h=1

k=4

a=2

Thus, value of h is 1, k is 4 and a is 2.

Learn more about parent function

brainly.com/question/17939507

#SPJ1

7 0
2 years ago
in a triangle TRY measure angle R is 3 times measure angle T and measure angle Y is 15 more than measure angle T find the measur
r-ruslan [8.4K]

Answer:

Angle R is 99 degree

Angle Y=48 degrees

Angle T is 33 degrees

Step-by-step explanation:

Let angle T be x

Angle R will be 3x

Angle Y will be x+15

Total=x+3x+x+15=5x+15

5x+15=180

5x=165

x=165/5=33

Therefore, angle T is 33 degrees, angle Y=15+33=48 degrees and angle R=33*3=99 degrees

5 0
3 years ago
?PLEASE HELP!!!!
STALIN [3.7K]
Start with your lowest numbers, 3 bracelets have 24 beads. The easiest way to find your answer is to find out how many beads are on 1 bracelet. So 24/3 will give us that answer. 24/3=8. and then multiply 7 by 8 to get 56. then check your answer to make sure it fits.
3 x 8 = 24
5 x 8 = 40
7 x 8 = 56
9 x 8 = 72 
5 0
3 years ago
12 meters in 28 seconds as a unit rate
blondinia [14]
You divide and get 3/7 meters per second
6 0
3 years ago
Other questions:
  • A rug in the shape of a regular quadrilateral has a side length of 20 ft. What is the perimeter of the rug? a.4 b.5 c.40 d.80
    14·1 answer
  • What is the distance between (3, 7 and (15, 16)
    5·1 answer
  • What’s the value of 5 of 467.3985
    6·2 answers
  • Which of the following statements is always true? a. Workers being paid on commission make less money than if they are salaried.
    11·1 answer
  • Serena was planning out her model railroad setup, and wants to be able to boast about it on her social media. She wants the cent
    13·2 answers
  • The probability of even a is x, and the probability of even b is y, if the two evens are independent, which of these conditions
    8·1 answer
  • Translate the word phrase into a math expression.
    8·1 answer
  • Subtract 4x + 2y - 16z from ( -12x + 2y - 4z ).
    5·1 answer
  • Can you guys solve this please step by step thank you so much x + 18 = 2x + 9
    15·2 answers
  • Let f(x) = 6x2-5 and g(x) = 2x-1.<br> Find f.g. PLEASE HELP WITH REAL ANSWERS
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!