Solve the equation
(x/x+2) - (4/x-2) = 1

Solve The Equation (x/x+2) - (4/x-2) = 1

Answers

Answer 1

Answer:

           [tex]\bold{x=-\dfrac23}[/tex]

Step-by-step explanation:

[tex]\dfrac x{x+2}-\dfrac4{x-2}=1\qquad\qquad\qquad x\ne2\ \wedge\ x\ne-2\\\\\\ \dfrac {x(x-2)}{(x+2)(x-2)}-\dfrac{4(x+2)}{(x-2)(x+2)}=1\\\\\\ \dfrac {x^2-2x-4x-8}{x^2-4}=1\\\\ \\\dfrac {x^2-6x-8}{x^2-4}=1\quad\iff\quad x^2-6x-8=x^2-4\\\\x^2-6x-8=x^2-4\\\\-6x-8=-4\\\\-6x=4\\\\x=-\frac46\\\\x=-\frac23[/tex]

Answer 2

The solution to the equation is x = -2/3.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given equation is  [tex]\frac{x}{x+2}-\frac{4}{x-2}=1[/tex].

Solve the equation as follows:
[tex]\frac{x}{x+2}-\frac{4}{x-2}=1\\\\\frac{x(x-2)-4(x+2)}{(x+2)(x-2)}=1\\\\\frac{x^2-2x-4x-8}{x^2-4}=1\\\\x^2-6x-8= x^2-4\\\\-6x = 8-4\\\\6x = -4\\\\x=-\frac{2}{3}[/tex]

Hence, the solution to the equation is x = -2/3.

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Related Questions

3. Are these figures congruent?
A Yes, they are congruent.
B) No, they are not congruent.

Answers

Answer:

B) No, they are not congruent.

One is smaller than the other & hence they are not congruent.

Answer:

B

Step-by-step explanation:

If they were to be congruent, they would have to be the same size and look the same in all aspects including angles and side lengths, but they aren't as they are similar shapes, therefore B.

Hope this helps!!

Solve for X. Please solve all four. First person to do so will get brainliest.

Answers

Answer:

x=-12

x=10

x=-8

x=-5

Step-by-step explanation:

Answer:

1.x=-12

2.x=10

3.x=-8

4.x=-5

Step-by-step explanation:

You and your friend complete video game levels at the same rate. You complete 5 levels in 45 hours. How many levels does your friend complete in 9 hours? please help!!!

Answers

Answer:

Your friend complete 1 level per 9 hours.

You complete 5 levels in 45h so you get 1 lv per 9h 45/9=5

Solve by subsititution:
X = - 3y + 1
-3x - 3y = -15

Answers

Answer:

y=-2   x=7

Step-by-step explanation:

HELP ASAP !! I have trouble with this

Answers

Answer:

x= 0.7227 in radians

x= 41.4096 in degrees

Step-by-step explanation:

cos(x) = 6/8

can someone plz help with this? geometry:)

Answers

Answer:

One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.

We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x    

               

2(x+3)= 3x + 1                     First, distribute the 2 to each term in x+3,

the result should be:

2x + 6 = 3x+ 1          then subtract 2x from both sides

-2x        -2x

the result should be :

 6 = x + 1             subtract 1 from both sides

-1         -1

the result should be x=5

plug that into the equations and JN= 5+3, JL=15+1

The two correct options are

NM = 8  ( both of the diagonals are equal to eachother )

JL = 16

(12x -2) - (-3x + 4) anyone got the answer?

Answers

Answer:

15x - 6

Step-by-step explanation:

(12x -2) -1 (3x+4)

(12x - 2 + 3x-4

12x-2+3x -4

12x -6 + 3x

15x - 6

An isosceles triangle has an angle that measures 118°. Which other angles could be in that isosceles triangle? Choose all that apply. a 69° b 31 c 118 d 54​

Answers

Answer:

b. 31.

Step-by-step explanation:

The other 2 angles in the triangle are congruent so they are:

(180 - 118) / 2

= 31 degrees.

The possible measure of two similar angles in an isosceles triangle could be b. 31 °

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in an isosceles triangle two sides are equal and angles opposite sides to the equal side are also equal.

We also know that the sum of all the interior angles in a triangle is 180°.

Let, The similar angles be 'x'.

Therefore,

x + x + 118 = 180

2x = 62.

x = 31°.

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John and his 5 friends will share 1 1/2 pizzas if they share the pizzas equally how much pizza will each person get

Answers

Answer:

5/4

Step-by-step explanation:

Find the value of y. Round your answers to the nearest tenth

Answers

Answer:

y ≈ 4.3

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{RS}[/tex] = [tex]\frac{ED}{VU}[/tex] , substitute values

[tex]\frac{6}{4}[/tex] = [tex]\frac{8}{y+1}[/tex] ( cross- multiply )

6(y + 1) = 32

6y + 6 = 32 ( subtract 6 from both sides )

6y = 26 ( divide both sides by 6 )

y ≈ 4.3 ( to the nearest tenth )

Answer:

4.3 Is the answer like the value of X in the nearest tenth.

What does m equal?please help me.

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the inequalities.

===> -7 + 45m - 35 < 9m - 11

===> 45m - 42 < 9m - 11

===> 45m - 9m < -11 + 42

==> 36m < 31

==> m < 31/36

hence the value of m < 31/36

Answer:

m = 31/36

Step-by-step explanation:

Hope this helps you.

Decrease £843 by 91% rounded to 2 DP

Answers

Answer:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

91% = 91/100 = 91 ÷ 100 = 0.91.

100% = 100/100 = 100 ÷ 100 = 1.

Decrease number by 91% of its value.

Percentage decrease = 91% × 843

New value = 843 - Percentage decrease

Calculate the New Value

New value =

843 - Percentage decrease =

843 - (91% × 843) =

843 - 91% × 843 =

(1 - 91%) × 843 =

(100% - 91%) × 843 =

9% × 843 =

9 ÷ 100 × 843 =

9 × 843 ÷ 100 =

7,587 ÷ 100 =

75.87

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 843 =

75.87 - 843 =

- 767.13

Proof.

Calculate percentage decrease:

Percentage decrease =

91% × 843 =

91 ÷ 100 × 843 =

91 × 843 ÷ 100 =

76,713 ÷ 100 =

767.13

Step-by-step explanation:

Hope it is helpful....

What is the length in centimeters of the hypotenuse of the right triangle below?
2 cm
8 cm

Answers

Answer:

Step-by-step explanation:

WASSUP

How many weeks is 36 days

Answers

Answer:

about 5 weeks

Step-by-step explanation:

divide 36 by 7

Answer:

5 weeks

Step-by-step explanation:

there is 5 weeks and some days

we know 7 days= 1 week

1 day =1/7 week

36 day= 1/7)*36

=5.14 weeks

..... hope you liked it.

6.A = 23 × 3 × 5 B = 22 × 3 × 52
Write down the highest common factor (HCF) of A and B.Required to answer. Single line text.
(1 Point)

Answers

Given:

The two numbers are

[tex]A=23\times 3\times 5[/tex]

[tex]B=22\times 3\times 52[/tex]

To find:

The highest common factor (HCF) of A and B

Solution:

We have,

[tex]A=23\times 3\times 5[/tex]               ...(i)

[tex]B=22\times 3\times 52[/tex]

All the factors of A are prime but the factors of B are not prime. So, it can be written as

[tex]B=2\times 11\times 3\times 13\times 2\times 2[/tex]          ...(ii)

From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

[tex]HCF(A,B) = 3[/tex]

Therefore, the highest common factor (HCF) of A and B is 3.

Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets. *

A: 7.25a + 5.50s = 8 and a + s = 52.75
B: 7.25a + 5.50s = 52.75 and a + s = 52.75
C: 7.25a + 5.50s = 52.75 and a + s = 8

Answers

uMMMMMMMM I don't know

Which is the equation of a line that passes through the point (-3, 5) with a slope
of -2/3

Answers

The slope is( -2,3) because you start at the origin and walk up and go over 2

Help me it’s timed!!!

Answers

The answer is 8*5*5=200

.The measures of the angles of a triangle are in the extended ratio 6: 1: 5. What is the measure of the largest angle?​

Answers

Answer:

90

Step-by-step explanation:

Ratio = 6 : 1 : 5

Angles are 6x ,x , 5x

Sum of all the angles of the triangle = 180

6x +x +5x = 180

         12x = 180

            x = 180/12

x = 15

Largest angle = 6x = 6*15 = 90

Write the slope-intercept form of the equation of each line.

Answers

Step-by-step explanation:

you look at how the line intersects with an integer point.

on the y-axis, the line has a value of -2 so it has a y-intercept value of -2

so the slope formula is rise/run.

As we can see on the graph, there is no line on the graph that truly lines up with a point besides (0,-2)

if we look at all of the slopes

from A,B,C, and D, and there are not any slopes besides d that are on the graph.

y=mx+b

m=slope

b=y-intercept

If we expand the graph a little bit we can see that the point (0,-2) goes up 7 and goes to the left of 4 units.

so the answer is D    : y=-7/4x-2

----------------------------------------------------------------------

and since we go up and to the left or we go down and to the right that determines that the slope is negative.

If we started on a point on the y-axis, and started and went up and to the right or down and to the left.

Hope that helps :)

Please give brainliest

HELPPPPPPPPPPPP PLEASE

Answers

Answer: <B is congruent to <E

Step-by-step explanation:

There is no “angle,angle,angle” theorem when proving triangles are congruent.

There are 5 however that do:

ASA (angle, included side, angle)

SSS (side, side, side)

SAS (side, included angle, side)

AAS (angle,angle, non included side)

HL (hypotenuse,leg)

I need help ASAP!!!!!!

Answers

Answer:

1. YES  2. NO

Step-by-step explanation:

1. Since x=0.121212... and the question is asking for 100x, we need to multiply each side by 100. 0.121212... multiplied by 100 is 12.1212... So YES, 100x is still a repeating decimal.

2. 12.121212... minus 0.121212... would just be 12. This is because if we know that all the numbers behind the decimal point is 0.121212 and so on, 12.121212... minus 0.121212... the numbers behind the decimal would cancel out. So we are left with 12. So NO, the answer for 99x is NOT a repeating decimal.

James travels 147 metres in 2 seconds.
Find the average speed of James during that time.
Give your answer correct to 1 decimal place where appropriate.
m/s

Answers

Answer:

73.5m/s is the average speed

Step-by-step explanation:

147/2=73.5

Sarah and Nathan each picked a bucket of strawberries. Sarah picked 4 1/4 and Nathan picked 3 3/4. How much more did Sarah pick than Nathan?

Answers

Answer: 1/2 buckets

Step-by-step explanation:

Sarah picked 4¹/₄ buckets of grapes and Nathan picked 3³/₄ buckets.

To find out how much Sarah picked more than Nathan, simply subtract Nathan's buckets from Sarah's.

First convert the fractions to improper fractions:

4¹/₄  = 17/4

3³/₄ = 15/4

As the have the same denominator, you can directly subtract them:

= 17/4 - 15/4

= 2/4

= 1/2 buckets

Explain why the product of a non-0 rational number and an irrational number is irrational?

Answers

Answer:

An irrational number is a number that can not be written as the quotient of two integer numbers.

Then if we have:

A = a rational number

B = a irrational number.

Then we can write:

A = x/y

Then the product of A and B can be written as:

A*B = (x/y)*B

Now, let's assume that this product is a rational number, then the product can be written as the quotient between two integer numbers.

(x/y)*B = (m/n)

If we isolate B, we get:

B = (m/n)*(y/x)

We can rewrite this as:

B = (m*y)/(n*x)

Where m, n, y, and x are integer numbers, then:

m*y is an integer

n*x is an integer.

Then B can be written as the quotient of two integer numbers, but this contradicts the initial hypothesis where we assumed that B was an irrational number.

Then the product of an irrational number and a rational number different than zero is always an irrational number.

We need to add the fact that the rational number is different than zero because if:

B is an irrational number

And we multiply it by zero, we get:

B*0 = 0

Then the product of an irrational number and zero is zero, which is a rational number.

f(x) = (x + 1)2, g(x) = 2x3
One way to find (f º g)(x) when x = −2 is to start by composing f(g(x)).

Find f(g(x)).
4x6 + 1

4x9 + 1

4x6 + 4x3 + 1

4x9 + 4x6 + 1

Answers

The function (f º g)(x) is 4x⁶ + 1. Option A

What is a function?

A function can be defined as a law, rule or expression that shows the relationship between two variables in an equation.

These variables are called;

The independent variableThe dependent variable

From the information given, we have the function;

f(x) = (x + 1)² g(x) = 2x³

To determine the composite function, we have to substitute the value of g(x) as x in the function f(x), we have;

(f º g)(x) = (2x³ + 1)²

expand the bracket

(f º g)(x) = 4x⁶ + 1

Hence, the function is (f º g)(x) = 4x⁶ + 1

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Answer:

The first question is C: 4x^6 + 4x^3 + 1

The second question is: f(g(−2)) = 225

Step-by-step explanation:

Got it right on edg.

How do i find this slope?!?!?!

Answers

The slope is 3/4 because it is 3 units up and then 4 units to the right.

Answer:

Step-by-step explanation:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Here are the equations you can use to find the slope;

Slope. y2 - y1 / x2 - x1 = slope.

Slope Intercept form. y = mx + b.

Point slope form. y - y1 = m ( x - x1)

Mary rides her horse 30 miles in 2 1/2 hours. What is her average speed in miles per hour?

Answers

Answer:

12 miles per hour

Step-by-step explanation:

Estimate the sum by rounding each number to the nearest half or whole.
2 1/2 + 5 5/8=

O 8 1/2
O 8
O 7
O 7 1/2

Answers

If you add them together the sum is 8 1/8 and if you round it it’s 8

Which graph has a slope of 4/5?

Answers

Answer: The second one

Step-by-step explanation:

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