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
Andreyy89
3 years ago
7

I need the solution

Mathematics
1 answer:
Nataly [62]3 years ago
5 0

The only thing you can do here is to try to simplify, so I'll assume that's what you want to do.

\dfrac{b^2-a^2}{2a^2+ab-3b^2}

The numerator is a difference of squares, so it's easy to factorize:

b^2-a^2=(b-a)(b+a)

In the denominator, we factorize by grouping:

2a^2+ab-3b^2=2a^2-2ab+3ab-3b^2=2a(a-b)+3b(a-b)=(2a+3b)(a-b)

So we have

\dfrac{b^2-a^2}{2a^2+ab-3b^2}=\dfrac{(b-a)(b+a)}{(2a+3b)(a-b)}=-\dfrac{b+a}{2a+3b}

You might be interested in
The perimeter of a triangle is 86 inches. The largest side is four inches less than twice the smallest side. The third side is 1
Xelga [282]
Hello,
Assume x the smallest side.
y the third side
z the largest side
z=2x-4
y=10+x
x+y+z=86
==>x+(10+x)+(2x-4)=86
==>4x=86-10+4
==>x=20, y=30 and z=36

7 0
3 years ago
PLEASE HELP <br> ANSWER ASAP
VLD [36.1K]
Question 1: h+4= how many kids in history class.
I think this cause it says to represent the # of kids in the English class with the varible h. there are 4 more kids in the history class for you just add four to the English class( h). this may be wrong tho

question 2: 57+4= 61.

you just input the 57 where the h (# of kids in English class) cause it need to figure out how many are in history and their are just four more kids. I think


also sorry if I suck at explaining things, this makes sorta sense
7 0
2 years ago
The left and right pages of an open book are two consecutive integers whose sum is 359. Find these page numbers
ZanzabumX [31]

179 and 180

consecutive numbers have a difference of 1 between them

let the 2 numbers be n and n + 1, then

n + n + 1 = 359

2n + 1 = 359 ( subtract 1 from both sides )

2n = 358 ( divide both sides by 2 )

n = 179 and n + 1 = 179 + 1 = 180

the 2 pages are 179 and 180



6 0
3 years ago
An economist is studying the linear relationship between the selling price p, of a
dimulka [17.4K]

Answer:

The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60

Step-by-step explanation:

The given data are as follows

x,      p($)

10,    52.5

25,   41.25

40,   30

60,   15

We note that a plot of the given points give a straight line graph indicating a linear relationship

The rate of change of p($) with x is given by slope, m in the following relation;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Which gives;

Slope, \, m =\dfrac{41.25-52.5}{25-10} = \dfrac{30-41.25}{40-25} = \dfrac{15-30}{40-60} =-0.75

Therefore, to write the equation in slope and intercept form, we have;

From the first point with coordinates (52.5, 10), we have

y - 52.5 = -0.75×(x - 10)

y = -0.75·x + 7.5 + 52.5 = -0.75·x + 60

The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60.

4 0
3 years ago
Please help it’s for 50 points
amid [387]

Step-by-step explanation:

3√8 is irrational number, and

2√18 is also irrational number

3√8 + 2√18 =

3×2√2 + 2×3√2 =

6√2 + 6√2 = 12√2

so, 12√2 is irrational number.

the correct answer is

A. the sum of two irrational numbers is irrational.

4 0
3 years ago
Other questions:
  • Find the slope of the line containing the given pair of points. (2, 4) and (8, 13)
    10·1 answer
  • Simplify: (3a – 4b)(a + b). . A.. 3a2– ab – 4b2. . B.. 3a2 – 7ab – 4b2. . C.. 3a2 – 12ab – 4b2. . D.. 3a2 + ab – 4b2.
    15·1 answer
  • What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
    10·2 answers
  • the average mass of the eggs laid by chickens on ms. watsons farm is 3.5 grams. about how many grams does a dozen eggs weigh
    12·2 answers
  • How do you do this question?
    14·1 answer
  • Zia was driving his truck on the super highway. His speed was recorded by the motorway camera between 6:00am to 8:30am. He cover
    15·1 answer
  • A word or phrase used to show division in a word problem
    13·2 answers
  • Which of the options is the response variable?
    10·1 answer
  • A bunny can jump 2/3 of a meter in a single jump!
    10·1 answer
  • 3. Determine the slope of the line that has the following coordinates: (-3, 6) (4,-2)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!