Answers
Given:
The expression is
[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]
It can be written as
[tex]=\dfrac{2}{a-2}-\dfrac{8}{a^2-2^2}[/tex]
[tex]=\dfrac{2}{a-2}-\dfrac{8}{(a-2)(a+2)}[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
Taking LCM, we get
[tex]=\dfrac{2(a+2)-8}{(a-2)(a+2)}[/tex]
[tex]=\dfrac{2a+4-8}{(a-2)(a+2)}[/tex]
[tex]=\dfrac{2a-4}{(a-2)(a+2)}[/tex]
[tex]=\dfrac{2(a-2)}{(a-2)(a+2)}[/tex]
Cancel out the common factors.
[tex]=\dfrac{2}{a+2}[/tex]
Therefore, the simplified form of the given expression is [tex]\dfrac{2}{a+2}[/tex].
Related Questions
Which of these relations are functions? Select all that apply.
Answers
Answer:
the 1st one and the 3rd one hope that helps!
Step-by-step explanation:
Answer:
Answer C and B are the most resonable!
Step-by-step explanation:
Evaluate. 8^4 · 8^–6
Answers
Answer:
0.015625
Step-by-step explanation:
8⁴×8⁻⁶
= 8⁴⁺⁻⁶ = 8⁻² = 0.015625
Answer:
x/64 hope this helps
Step-by-step explanation:
What is the acceleration of Romeo's 900 kg horse if it moves with a force of 9000N?
Answers
There were 45 questions on a science quiz. Maria answered 36 correctly. What percent of the questions did Maria answer correctly?
Answers
Answer: 80%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
Formula- a/b = n/100
36/45 = n/100
do cross multiplication:
3600/45 = 80
4,5,10,8,4,8,7,6 range
Answers
Answer:
10-4=6
Step-by-step explanation:
The range is the difference between the biggest and smallest number. In this case, 10 is the biggest number and 4 is the smallest. So we do 10-4, which gives us 6, so 6 is the range.
plzz help me helppppp I'm almost out of time
Answers
Answer:
$6.50 per bag of popcorn
Step-by-step explanation:
let a bag of popcorn be represented by p and a candy bar be b
28p + 40b= $282
17p + 20b= $160.50
this is an example of stimatanelous equations
so you have to double the second equation to give 34p + 40b =$321
subtract the equations to give one
6p =$39
divide $39 by 6 to give the value of one bag of popcorn = $6.50
10. Jacob ran at a rate of 7 miles per hour. At this rate, how far does he run in 30 minutes?
Answers
Answer: Jakob will run 3 1/2 miles in 30 min
Step-by-step explanation: you need to take 7 in half because half of an hpur is 30 minutes so half of seven is 3 1/2 so that is the answer
Answer:
3.5 miles
Step-by-step explanation:
1 hour = 60 minutes
Proportions:
7 miles = 60 minutes
J miles = 30 minutes
J = 7*30/60
J = 3.5 miles
A package of 5 pairs of insulated socks costs $37.45. What is the unit price of the pairs of socks? The unit price is $nothing per pair of socks.
Answers
Answer:
i think 6.59
Step-by-step explanation:
1.Morgan drives 24 miles due north, then drives 7 miles due east from home to work. What is the distance between Morgan’s home and work, measured in a straight line?
2. Hailey is flying a kite on a string 25m long. The kite is directly above Cassi who is 15m from Hailey. How high is the kite above the ground?
Use the Pythagorean theorem to solve each problem. Show Calculations.
Answers
Answer:
1) 25 miles
2) 20 m
Step-by-step explanation:
Number 1 is going to be
[tex]a^{2} + b^{2} = c^{2}[/tex] because it's a right triangle
So
[tex]24^{2}[/tex] + [tex]7^{2}[/tex] = [tex]c^{2}[/tex]
625 = [tex]c^{2}[/tex]
c = 25 mile
Number 2 uses the same process, but changing to using C instead of A
a^2 = c^2 - b^2
a^2 = 625 - 225
a = \sqrt(400)
a = 20m
Choose your answer
tan(-20°) = _____.
A. -tan 20°
B. tan 20°
C. tan (-160°)
D. -tan 160°
Answers
Answer:
I believe the answer is A) -tan 20°
Step-by-step explanation:
Answer:
tan(-20°) =A. -tan 20°
since angle is positive at only cos -∅ and sec-∅
What is 44 to the second power?
Answers
Answer:
1936
Step-by-step explanation:
You would have to multiply 44 by itsself 2 times
44 x 44 =
1,936
Example:
55 to the third power
Multiply 55 3 times since its to the 3rd power
55 x 55 x 55 =
166375
Can anyone help me with these 3 please !
I’ll mark you as a brainliest.
Answers
Answer:
72
270
600,000
I wasn't sure what this question means, but I did the math??
like are supposed to switch around the numbers..? haha...
Answer:
1. 72
2. 270
3. 600,000
hope this helps!!
Step-by-step explanation:
In the city where sonya lives, it rains and average of 8.05 centimeters each month last year.About how many centimeters of rain fell in all last year? Show your work.
Answers
You would multiply 8.05 times the #of momths which is twelve.
The total centimeters of rainfall in the city for the past year where Sonia lives is given by the equation A = 96.6 cm
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total centimeters of rainfall for the past year be A
Now , the equation will be
The centimeters of rainfall every month in the city = 8.05 cm
The total number of months in a year = 12 months
So ,
The total centimeters of rainfall in the city for the past year A = centimeters of rainfall every month in the city x total number of months in a year
Substituting the values in the equation , we get
The total centimeters of rainfall in the city for the past year A = 8.05 x 12
On simplifying the equation , we get
The total centimeters of rainfall in the city for the past year A = 96.6 cm
Therefore , the value of A is 96.6 cm
Hence , the total rainfall is 96.6 cm
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ5
plz help i will give brainliest
Answers
Answer:
113°
Step-by-step explanation:
53+6+8= 67
180-67=113
A sub shop sold sandwiches that were one-half of a foot long. If you were to cut the sandwich into 9 equal pieces, what fraction of a foot would each piece be?
Answers
Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} / \frac{9}{1} = \frac{1}{2} (\frac{1}{9} ) = \frac{1}{18}[/tex]
Raúl is mixing a cleaning spray. The instructions say to combine 2 cups vinegar with 1 cup water. Raúl wants to make 15 cups of spray. How many cups of vinegar and how many cups of water should Raúl use?
Answers
vinegar = 5x2 = 10 cups
water = 5x1 = 5 cups
Each girl was given 20 beads to make a bracelet. The line plot above shows how many beads the girls each used of their bracelets. How many girls chose to put at least half of the beads on their bracelet?
This is timed
Answers
I think it's eight bead's??...........
Help me it’s urgent please
Answers
HELP ME FIND THE GCF
What is the greatest common factor (GCF) of the numerator and denominator
of the rational expression below?
5x - 20/ x^2-2x-8
Answers
Answer: Look below =3
The greatest common factor of numerator and denominator is (x-4).
5. 3/4 divided by 1/5
Answers
Step-by-step explanation:
3/4÷1/5
15/20÷4/20
we flip the second fraction and change the ÷ into ×
15/20×20/4=300/80
and now you can simplify this fraction.
Step-by-step explanation:
3/4 / 1/5
3/4 x 5/1
=15/4
a. True/False
To complete the square on the left side of the equation x2 - 6x = 9,
you must subtract the number 9 from both sides.
Answers
Answer:
True
Step-by-step explanation:
[tex]x^{2} -6x=9[/tex]
subtract [tex]9[/tex] from both sides
[tex]x^{2} -6x-9[/tex]
plz mark me brainliest. ;)
The radius of the front wheel of Monica's bicycle is 1 foot. About how far has Monica traveled after the wheel has made 100 revolutions? (use 3.14 for pi)
Answers
Answer:
Distance travel by Monica = 628 ft
Step-by-step explanation:
Given:
Radius of whee l = 1 ft
Number of revolution = 100
Find:
Distance travel by Monica
Computation:
Distance travel by Monica = 100[Circumference of wheel]
Distance travel by Monica = 100[2πr]
Distance travel by Monica = 100[2(3.14)(1)]
Distance travel by Monica = 100[6.28]
Distance travel by Monica = 628 ft
Plsssssssssss helppppppp
Answers
Answer:
C. theres a 50% chance
Step-by-step explanation:
Bb, Bb, bb & bb
hope this helps <3
Answer:
Hi! Hopefully I can help you. I think that its 75% likey to get a kid with brown eyes.
Step-by-step explanation:
Hopefully this picture provides a nice explanation. I'm so sorry, punnet squares are so hard.
James wants to buy a house.
The price of the house is a quarter of a million pounds.
James has to pay a deposit for the house.
The deposit is 15% of the price of the house.
James already has part of the deposit.
He has £32 000
(a) How much more money does James need for the deposit?
Answers
Answer:
27,200
Step-by-step explanation:
15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.
Will be the answer for this question
<><><><>Simple true and false math<><><><>
Answers
Answer:
true
Step-by-step explanation:
just my opinion but for me it's true
Answer:
TRUE I AGREE WITH THE PERSON UP ABOVE
Step-by-step explanation:
Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
Y= -2x+3
2x+y=7
A. Parallel
B. Perpendicular
C. Neither
Answers
Answer:
A
Step-by-step explanation:
Because the have the same slope.
The second equation solving for y is:
Y= -2x+7.
Both equations have the same slope of -2
Answer:
Parallel
Step-by-step explanation:
If lines have the same slope, then they are parallel. If lines have slopes that are opposite reciprocals of each other, then they are perpendicular. If neither one of those statements are true, then the answer is neither.
1) First, find the slope of the first equation. [tex]y = -2x + 3[/tex] is already in [tex]y = mx + b[/tex] format, or slope-intercept form. The [tex]m[/tex], or the coefficient of the x term, represents the slope. Thus, by looking at the equation, -2 is the slope of [tex]y = -2x + 3[/tex].
2) Second, find the slope of the second equation. [tex]2x + y = 7[/tex] is in standard format, but we can change it to slope-intercept format by isolating the y like so (just subtract both sides by 2x):
[tex]2x + y = 7 \\y = -2x + 7[/tex]
Now that it is in slope-intercept form, we can look at the coefficient of the x term, or [tex]m[/tex], to find the slope. That number is -2, thus the slope of [tex]2x + y = 7[/tex] is -2.
3) We found out that the slopes of both equations are -2. Thus, since they share the same slope, the lines are parallel.
Anyone help pls I’m stuck I keep getting it wrong
Answers
To linear functions are shown below. Which function has a greater rate of change?
Answers
A map has the scale of 1 inch = 50 miles. if two cities are 1 inch apart on the map how many miles separate the cities?
Answers
Answer: 175
Step-by-step explanation:
To determine the actual distance using the map scale of 1 inch = 50 miles, you would multiply the number of inches shown on the map by 50.
For this problem: 3 1/2 • 50 = 7/2 • 50 = 175 miles
The two cities are 175 miles apart.
A scooter tracked 30 feet in 2 seconds at a constant speed what is the speed of the scooter in feet per second