Answers
Answer:
[tex]\frac{x}{x-1}[/tex]
Step-by-step explanation:
[tex]\frac{3x^2 - 1}{x^2 - 1} - \frac{2x + 1}{x + 1}[/tex] [tex][ \ x^ 2- 1 = (x-1)(x + 1) \ ][/tex]
[tex]= \frac{3x^2 - 1}{(x-1)(x + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}[/tex] [tex][\ Taking \ LCM \ ][/tex]
[tex]= \frac{(3x^2 - 1)- (2x^2 - 2x + x - 1)}{(x+1)(x-1)}\\\\=\frac{3x^2 - 1 - 2x^2 + x + 1 }{(x+1)(x-1)}\\\\=\frac{x^2 +x}{(x+1)(x-1)}\\\\=\frac{x(x+1)}{(x+1)(x-1)}\\\\=\frac{x}{x-1}[/tex]
Finding LCM :
Example :
[tex]\frac{1}{6} + \frac{1}{3}[/tex]
6 = 2 x 3
3 = 1 x 3
[tex]\frac{1}{2 \times 3} + \frac{1}{ 3}[/tex] [tex]= \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}[/tex]
[ To make the denominators same : the second fraction is multiplied and divided by 2 ]
Similarly :
[tex](x^2 - 1 ) = (x -1)(x+1)\\\\(x + 1) = 1 \times (x + 1)[/tex]
Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )
Therefore the second term becomes ,
[tex]\frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}[/tex]
Related Questions
Please help and thank you
Answers
Answer:
B is your answer to this question
The point (12, 5) is on the terminal side of angle θ.
cos θ =
cot θ =
Answers
Step-by-step explanation:
The point (12, 5)
x = 12, y = 5
=> r =√12²+5² =√144+25= √169=13
so, cos θ = x/r = 12/13 and
cot θ = x/y = 12/5
On a recent trip to New York City, Mr. Kelly went to the top of the Empire State Building. He knows that the Empire State building is 1250 feet high, but he wants to figure out how tall the building across the street is (its 100 feet across the street). He measures the angle of depression from the Empire State Building to the roof of the adjacent building to be 23°. How tall is the building across the street from the Empire State Building?
Answers
Answer:
teri maa ki chut me mera land madarchod sale gand marunga teri
The screen at Dallas' AT&T Stadium is 175 feet wide. A movie theatre screen with
similar dimensions is 40 feet wide with a screen area of 896 Ft. What is the area of
the screen at AT&T Stadium? Round to the nearest square foot.
Answers
Answer:
17150 ft²
Step-by-step explanation:
Given the ratio of sides = a : b , then
ratio of areas = a² : b²
Here ratio of sides = 175 : 40 = 35 : 8 , then
ratio of areas = 35² : 8² = 1225 : 64
let x be the area of AT & T Stadium then by proportion
[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )
64x = 896 × 1225 = 1097600 ( divide both sides by 64 )
x = 17150
The AT & T screen has an area of 17150 ft²
Max is painting a fence.The table shows the number of square feet he painted after various numbers of minutes. What is the rate of change?
Amount of Fence Max Painted
Minutes
Square Feet Painted
1
3.5
2
7
3
10.5
4
14
5
17.5
–3.5
–1
1
3.5
Answers
Answer:
3.5
Step-by-step explanation:
Which of the following is arranged in ascending order? *
7/10, 6/4, 4/5, 5/2
6/4, 5/2, 4/5, 7/10
7/10, 4/5, 6/4, 5/2
6/4, 4/5, 7/10, 5/2
Answers
Answer: 7/10, 4/5, 6/4, 5/2
Ascending means that the values are getting larger from left to right.
0.7, 0.8, 1.5, 2.5
In a physical education period, students are arranged in rows to form a perfect square to practice a display for the sports day. From the total number of 8046 students, 125 students were not well and others formed a perfect square to participate in the display. Find the number of students in each row.
Answers
Step-by-step explanation:
I don't know how long answers
Select the graph of the solution. Click until the correct graph appears. 3x + 1 < 7
Answers
Answer:
x < 2
Step-by-step explanation:
Let's actually solve the given inequality 3x + 1 < 7. First we want to combine the constants into one: 3x < 6. Solving for x, we get x < 2.
The graph you have chosen as your answer is correct. x does not equal 2, but rather is less than 2, as the given inequality states. Since x is less than 2, we start at the (open) circle at 2 and move to the left.
Pls pls pls answer this question!!
Answers
Answer:
11
Step-by-step explanation:
3 + [tex]\sqrt{16}[/tex] ÷ 2 * 4
work for the root first
3 + [tex]\sqrt{4*4}[/tex] ÷ 2 * 4
3 + 4 ÷ 2 * 4
now divide 4 by 2
3 + 2 * 4
then do multiplication
3 + 8
11
Answer:
11
Step-by-step explanation:
Following the order of operations in PEMDAS
Given
3 + [tex]\sqrt{16}[/tex] ÷ 2 × 4 ← evaluate the square root
= 3 + 4 ÷ 2 × 4
When multiplication appear on the same line evaluate from left to right
= 3 + 2 × 4
= 3 + 8
= 11
Can someone help me?It's urgent and thank you!
Answers
Answer:
x = 4 is the answer
PLease give a brainliest
What is the recursive formula for this arithmetic sequence?
-7,-1,5, 11, ...
Answers
Answer:
D
Step-by-step explanation:
The recursive formula allows us to find any term in a sequence by adding the common difference d to the previous term.
Here d = - 1 - (- 7) = - 1 + 7 = 6 , then
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 ; a₁ = - 7
Which statement shows how two polynomials 3x + 6 and 5x2 - 4x demonstrate the closure property when multiplied?
O 15x3 + 18x? - 24x may or may not be a polynomial
O 15x3 + 18x2 - 24x is a polynomial
O 15x + 42x2 – 24x may or may not be a polynomial
15x3 + 42x2 - 24x is a polynomial
Answers
Here you go, rockstar
B) 15x3 + 18x2 − 24x is a polynomial
✨keep going!✨
The measures of two complementary angles are represented by (2x) and (3x - 10)". What is the value of x?
Answers
Answer:
Step-by-step explanation:
2x + 3x - 10 = 90
Combine like terms
5x - 10 = 90
Add 10 to both sides
5x = 90+10
5x = 100
Divide both sides by 5
x =100/5
x = 20
calculate the area of rectangle if the area of the shaded triangle is 2.6cm
Answers
Answer:
12
Step-by-step explanation:
Pls answer……………………..
Answers
Answer:
They are not congruent because the lines aren't parallel.
Step-by-step explanation:
For all of those angle relation theorems to be valid, PARALLEL lines need to be split by a transversal.
Which of the following is the equation of a line that passes though the points (2,5) and (4,3)
Answers
Answer:
y= -1x+7
or
y = -1x + b
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(2,5) and (4,3).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,5), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=5.
Also, let's call the second point you gave, (4,3), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=3.
Now, just plug the numbers into the formula for m above, like this:
m=
3 - 5
4 - 2
or...
m=
-2
2
or...
m=-1
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=-1x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(2,5). When x of the line is 2, y of the line must be 5.
(4,3). When x of the line is 4, y of the line must be 3.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=-1x+b. b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,5) and (4,3).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(2,5). y=mx+b or 5=-1 × 2+b, or solving for b: b=5-(-1)(2). b=7.
(4,3). y=mx+b or 3=-1 × 4+b, or solving for b: b=3-(-1)(4). b=7.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(2,5) and (4,3)
is
y=-1x+7
A rectangular plot of land is 40 feet long and 25 feet wide. How long is a walkway along the diagonal?
Answers
Answer:
25 ft
Step-by-step explanation:
[tex]3 \sqrt{10} + \sqrt{9} - 4\sqrt{17} [/tex]
please help with this equation
Answers
The probability can be written as:
Fraction
Decimal
Percent
All of the above
Answers
Using the right triangle below. What is the name for side AB?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above
Answers
Answer:
A.Hypotenuse
Step-by-step explanation:
Side AB is the longest side of the triangle
The longest side of a triangle is known as the hypotenuse
What is the sum of the measures of the exterior angles of a regular dodecagon? If necessary, round to the nearest tenth.
Answers
Step-by-step explanation:
Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.
Sum of all interior angles of
N
-sided regular polygon equals to
(
N
−
2
)
⋅
180
o
.
Therefore, sum of interior angles of
12
-sided polygon is
(
12
−
2
)
⋅
180
o
=
1800
o
All 12 interior angles of dodecagon are equal, so each is
180-30
150
A supplementary exterior angle, therefore, equals to
180-150
=30
hopeit helps..
Answer
The measure of each exterior angle of a regular dodecagon is 30 degrees.
What is a regular dodecagon?A regular dodecagon is a 12-sided regular polygon with each side equal.
We are asked to find the measure of each exterior angle of a regular dodecagon.
We know that measure of each angle of n-sided regular polygon can be found using
= 360/n
Upon substituting n = 12 in above formula, we will get:
= 360 / 12
= 30
Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.
Learn more about dodecagon;
https://brainly.com/question/12296650
#SPJ2
Solve
8V - 4(v + 8) = 8
Answers
Answer:
v = 10
Step-by-step explanation:
Answer:
v = 6
Step-by-step explanation:
8 v - 4 ( v + 8 ) = 8
8 v - 4 v - 32 = 8
4 v - 32 = 8
4 v = 8 + 32
4 v = 40
v = 40 / 4
v = 10
Please help me-
On a piece of paper, graph f(x) = {6 if -5 < x < -1
{4 if -1 < x < 2
{2 if 2< x < 5 .
Then determine which
answer choice matches the graph you drew.
Answers
Explanation:
You are basically graphing the three horizontal lines y = 6, y = 4 and y = 2; however, there are restrictions to each line.
The first line (y = 6) is only graphed when [tex]-5 < x \le -1[/tex]The second line (y = 4) is only graphed when [tex]-1 < x \le 2[/tex]The third line (y = 2) is only graphed when [tex]2 < x \le 5[/tex]That's how we get the staircase pattern as shown in graph A. This is considered a piecewise function since we're graphing pieces of various other functions.
Note the use of open holes vs closed circles for the endpoints. The open holes correspond to parts of the inequality that don't have "or equal to", which means we leave that part out of the graph. In contrast, the closed fill in circles do have "or equal to" associated with them, so we do include those endpoints.
Answer:
A
Step-by-step explanation:
Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?
Answer Choices In Picture
Answers
Answer:
First Option
Step-by-step explanation:
A new bicycle sells for $300 it is on sale for 1/4 off the regular price select all the expressions that represent the sale price of the bicycle in dollars.
Answers
Answer:
$225: the expression may look like $300-25%.
Step-by-step explanation:
First decide what is 1/4 of $300. ($300 / 4 = $75)
then subtract that amount from the original price. ($75-$300)
PLEASE HELP ME I DONT GET IT
Answers
Answer:
A) y = 2x
Step-by-step explanation:
explain how you can use a model to find 4 x 3/4 include a drawing and a solution
Answers
Answer:
4 x 3/4 = 3
Step-by-step explanation:
What is the area please
Answers
Answer:
A1 = Triangle (this can be calculated using the formula 1/2×base×height. Base =9 and height =13)
A2 = Square (3×5=15)
Add A1 + A2 to get the total area = 73.5
Find the value of x segment addition
Answers
Answer:
6
Step-by-step explanation:
4+x-3=2x-5
1+x=2×-5
2x-x=6
x=6
Please help me guyssssssssssssssss
Answers
Answer:
x≥-4
Step-by-step explanation:
-2-3x ≤ 10
Add 2 to each side
-2-3x+2 ≤10+2
-3x ≤ 12
Divide by -3, remembering to flip the inequality
-3x/-3 ≥ 12/-3
x≥-4
Answer:
Easy x[tex]\geq[/tex]4
Step-by-step explanation:
a)-2-3x[tex]\leq[/tex]10 can be broken down by
b)-2-3x[tex]\leq[/tex]10
+2 +2
c)-3x[tex]\leq[/tex]12
+3 +3
d) x[tex]\geq[/tex]4