Mathematics High School

Solve this problem???​

Solve This Problem???

Answers

Answer 1

The denominator of the first term is a difference of squares, such that

4a ² - b ² = (2a)² - b ² = (2a - b) (2a + b)

So you can write the fractions as

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)/(2a + b)

Multiply through the second fraction by 2a - b to get a common denominator:

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)²/((2a + b) (2a - b))

((4a ² + b ²) - (2a - b)²) / ((2a - b) (2a + b))

Expand the numerator:

(4a ² + b ²) - (2a - b)²

(4a ² + b ²) - (4a ² - 4ab + b ²)

4ab

So the original expression reduces to

4ab / ((2a - b) (2a + b))

or

4ab / (4a ² - b ²)

upon condensing the denominator again.

Related Questions

Jeanne needs to buy shirts to look good when she
goes back to school in a couple weeks. She has $55
dollars to spend and all the shirts are conveniently the
same price at her favorite store. She purchased 5
shirts, s and left the store with $7.50. Write an equation
that represents this situation.

Answers

5x+7.50=55

x is 9.5

Whats the equation to find the total cost ?

Answers

y = 8x
Is the equation

i need help pls and thank you

Answers

the fourth table is the correct answer

What is the common denominator for 1/3 and 4/5?

Answers

Answer:

15

Step-by-step explanation:

You can find this by multiplying the two deniminator numbers. 3*5

Although this dosent always find the lowest deniminator when you are dealing with high numbers, but it will get you an deniminator.


Find the length of the third side. If necessary, round to the nearest tenth 24 30

Answers

Answer: 18

Step-by-step explanation:

PLEASE HELP WITH THIS AND SHOW WORK.

Answers

Answer:

RECT and ANGL are similar triangles with a ratio of 9:16, and for TR, we have TR:24 in the ratio 9:16 so TR = 13.5

Hope this helps!

Determine which of the ordered pairs are solutions to the systems
of linear inequalities given below.

Answers

Answer:

1,3,4

Step-by-step explanation:

20 points, please help
If n -2 = 1/16, then n could be which of the following?


-1/4
4
-4
-8
1/4

Answers

Answer:

the answer would be 33/16

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Answers

It’s D
This is the right answer
Yeah it’s D the correct answer is D

The number of vertices in a prism is twice the number of vertices of one of the bases. How many vertices does one of the bases of a regular prism with 14 faces and 36 edges have?

Answers

Answer:

24

Step-by-step explanation:

The computation of the number of vertices does one of the base of regular prism is shown below:

V + F = E + 2

V + 14 = 36 + 2

V + 14 = 38

V  = 38 - 14

= 24

Lisa needs 125 pieces of candy for her guests at a party she is hosting. The candies come in packages of 35. She already has 20 pieces of candy left over from a previous party. How many packages of candy will Lisa have to buy to have 125 pieces of candy exactly? Create a two-step equation that models this problem and select which of the values below satisfies that equation.

Answers

Lisa needs 125 pieces of candy. She already has 20 pieces of candy, and they come in packages of 35. So, the 20 pieces of candy Lisa already has plus however many bags of 35 candies she needs should equal 125 pieces of candy.

You get this equation:
20 + 35x = 125, where x is the number of candy bags she needs

Solve the equation for x:
20 + 35x = 125 | Subtract 20 from both sides
35x = 105 | Divide each side by 35
x = 3

Lisa needs to by 3 candy bags

What is the measure of ∠J?


127°


92°


39°


141°

Answers

Answer:

39°

Step-by-step explanation:

A triangle always equals 180° so you have to subtract the other two angles from 180 to find the measure of J

180°-88°-53°= 39°

7 t - shirts and a hat cost 67.00
5 t - shirts and a hat costs 49.00
How much does a hat cost?
How much does a t - shirt cost?

Answers

Answer:

Hat costs 4.00

T-Shirt costs 9.00

Step-by-step explanation:

Let the t-shirt be t and the hat be h

7t+h=67

5t+h=49

Equating by eliminating the h and subtracting

the two equations,

2t=18

t=9.

If t =9 in 5t + h= 49 then

5×9+h=49

45+h=49

h=4

HEEELP PLEASE Put the following equation of a line into slope-intercept form, simplifying all fractions.

Answers

Answer:

slope intercept form: y = x - 3

Step-by-step explanation:

To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?


A. 10mm/1cm = x/140mm
B. 1cm/10mm = 12.5cm/x
C. 10mm/1cm = 140mm/x
D. 12.5mm/1cm = 140mm/x

Answers

The answer is The one option C

A family went to a carnival and bought 5 tickets. Children's tickets cost $5.50 each and adult tickets cost $7.50 each, and they spent $33.50. Fill in the blank below with the correct number of adult tickets purchased.

Answers

Answer:

4 adult tickets purchased.

Step-by-step explanation:

30.50 divided by 7.50 is 4

Troy has $35 to pay for a movie ticket and then buy comic books. Each comic books costs $3, the
movie ticket costs $10. Which equation can be used to determine how many comic books, b, Troy can buy?

A.10b + 3 = 35
B.3b + 35 = 10
C.3b + 10 = 35
D.10b + 35

Answers

Answer:

the answer is 3

Step-by-step explanation:

b will be used to determine how many books he bought since he is only buying one movie ticket the equation would be 3b + 10 = 35

What is the value of l-12l

Answers

Answer:

-11 l

Step-by-step explanation:

Answer:

12

Step-by-step explanation:
the distance -12 has from zero is 12

if you count over 12 spaces from -12 to zero you will have moved 12 spaces

6x-2y=10 slope intercept form

Answers

Answer:

To do this we just solve for y. Subtract 6x from both sides. Divide both sides by -2. The line has a slope of 3.

Step-by-step explanation:

y=-5+3x is the slope intercept form

I NNNNNEDDDDD HHHHEEELLLLLPPPPPPPP

Answers

Answer:

50

Step-by-step explanation:

as triangle is =180

then , 30 +100 +x =180

130 +x = 180

x= 180-130

=50

Answer:

50 degrees

Step-by-step explanation:

A triangle is 180 degrees and there is already a 30 and 100.

180-30-100=50.

Hope this helps =]

If the terminal side of angle θ , in standard position, passes through the point (16,63)


What is the numerical value of sin θ ?


What is the numerical value of cos θ ?

Answers

Answer:

Step-by-step explanation:

sinθ = 63/√(16² + 63²) = 63/65

cosθ = 16/65

Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.

y+2=3 (x-6)

Answers

Answer:

Step-by-step explanation:

It x=2

HELP WILL MARK YOUR ANSWER BRAINLIEST IF GOTTEN RIGHT!!!!!

Answers

Answer:

I would say the answer is C - AC/AB

Step-by-step explanation:

Sorry if I'm wrong, hope this helps.

At a garage sale, the most expensive item was marked $24.00 more than the cheapest item. The sum of the two items was $27.50. Find the cost of the least expensive item.

Answers

Answer:

$3.50

Step-by-step explanation:

27,50-24.00=3.50

(3.1 x 10¹⁵) + (3.7 x 10¹³) in simplified form. Please hurry​

Answers

Answer:

[tex]3.137E15x[/tex]

Step-by-step explanation:

Answer:

This is your answer ☺️☺️☺️

Here are the first four terms of a quadratic sequence, the nth term of this quadratic
sequence is an² + bn + c.
2, 12, 28, 50
Find the values of a, b and c.
(4 marks)​

Answers

Answer:

a = 3, b = 1, c = - 2

Step-by-step explanation:

Substitute n = 1, 2, 3, 4 into the nth term and equate to the values , that is

a + b + c = 2 → (1)

4a + 2b + c = 12 → (2)

9a + 3b + c = 28 → (3)

16a + 4b + c = 50 → (4)

Subtract (1) from (2) to eliminate c

3a + b = 10 → (5)

Subtract (3) from (4) to eliminate c

7a + b = 22 → (6)

Subtract (5) from (6) to eliminate b

4a = 12 ( divide both sides by 4 )

a = 3

Substitute a = 3 into 5) and solve for b

3(3) + b = 10

9 + b = 10 ( subtract 9 from both sides )

b = 1

Substitute a = 3 and b = 1 into (1) and solve for c

3 + 1 + c = 2

4 + c = 2 ( subtract 4 from both sides )

c = - 2

Then

a = 3, b = 1, c = - 2

and y = 3n² + n - 2 ← explicit formula

Erm the answer is a= 3 b=f and c=-2

Are the ratios 2:1 and 10:5 equivalent? yes or no

Answers

Answer:

Yes

Step-by-step explanation:

10/5 = 2 and 5/5 = 1

Answer:

Yes

Step-by-step explanation:

To find out if the ratios are equivalent you need to simplify both of them. The ratio 2:1 is already simplified all the way. You know this because 2 and 1 have no GCF (greatest common factor) besides 1. However, 10:5 is not all the way simplified. The GCF is 5, so divide both sides by 5. This equals 2:1. The ratio 2:1 is equal to 2:1; therefore, they must be equivalent.

One-hundred and forty students are randomly polled at your school about what their favorite lunch food is. The results are organized in the Venn diagram below.







How many students stated that they like hotdogs?

37
28
39
23

Answers

Answer:

39

Step-by-step explanation:

39 because 23 of the students already like hot dogs an 14 like hot dogs and cheeseburgers and 2 like pizza and hot dogs so add them together and you get 39

Answer:

Step-by-step explanation:

39

ach case:
(ii) (+5) + (+2)
(v) (-5) + (-2)
(viii) (+6) + (-3)
(xi) (-4) + (+8)
illustrate each of th​

Answers

Answer:

Step-by-step explanation:

(+5) + (+2) = +7

If both numbers have same sign, add and the result will have the common sign

v) (-5) + (-2) = (-7)

Both numbers have 'negative sign'. So, add and the result will have the 'negative sign'

Viii) (+6) + (-3) = +3

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '6' and its sign is 'positive'. so, the result will have positive sign

xi) (-4) + (+8) = +4

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '8' and its sign is 'positive'. so, the result will have positive sign

Can someone help me

Answers

Answer:

33

Step-by-step explanation:

To find the range all you have to do is subtract the lowest number from the highest.

98 - 65 = 33

The range is the largest number minus the smallest, so 98-65=33
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