Select all the words which accurately describe the triangle below

Answer:

a = 3, b = -18

Step-by-step explanation:

You can start by getting a common denominator in the fractions [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex]. You can multiply the first one by [tex]\frac{x+2}{x+2}[/tex] to get [tex]\frac{(x+2)(x+1)}{x^2-4}[/tex]and you can multiply the second by [tex]\frac{x-2}{x-2}[/tex] to get [tex]\frac{(x-4)(x-2)}{x^2-4}[/tex]. You can simplify the fractions:

[tex]\frac{(x+2)(x+1)}{x^2-4}[/tex] - [tex]\frac{x^2+3x+2}{x^4-4}[/tex]

[tex]\frac{(x-4)(x-2)}{x^2-4}[/tex] - [tex]\frac{x^2-6x+8}{x^2-4}[/tex]

Now we can rewrite the equation:

[tex]2-\frac{x^2+3x+2}{x^2-4} -\frac{x^2-6x+8}{x^2-4}[/tex]

and combine the terms with the same denominator:

[tex]2+\frac{-x^2-3x-2-x^2+6x-8}{x^2-4}[/tex]

[tex]2+\frac{-2x^2+3x-10}{x^2-4}[/tex]

Now, to add the two into the fraction, we multiply it by [tex]x^2-4[/tex] to get [tex]2x^2 - 8[/tex].

[tex]\frac{2x^2-8-2x^2+3x-10}{x^2-4}[/tex]

And simplify:

[tex]\frac{3x-18}{x^2-4}[/tex]

a = 3, b = -18

The value of the integers a and b are 3 and - 18 respectively.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

Firstly , let's find out a common denominator in the fractions , [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex] .

The first one can be written as :

= [tex]\frac{x+1}{x-2}[/tex] × [tex]\frac{x+2}{x+2}[/tex]

= [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex]

and the second one can be written as :

= [tex]\frac{x-4}{x+2}[/tex] × [tex]\frac{x-2}{x-2}[/tex]

= [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]

The expression will be :

= 2 - [tex]\frac{x+1}{x-2}[/tex] - [tex]\frac{x-4}{x+2}[/tex]

= 2 - [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex] - [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]

= [ 2 (x²- 4) - (x+1) (x+2) - (x-4) (x-2)]/ [(x²- 4)]

= [2x² - 8 - x² - 3x - 2 - x² + 6x - 8] / [(x²- 4)]

By simplifying it , we get :

= [tex]\frac{3x-18}{x^{2} - 4}[/tex]

If we compare it with the given form which is [tex]\frac{ax + b}{x^{2} -4}[/tex] we get :

[tex]\frac{3x-18}{x^{2} - 4}[/tex] = [tex]\frac{ax + b}{x^{2} -4}[/tex]

or

3x - 18 = ax + b

or

The values of a and b are :

a = 3 and b = -18.

Therefore , the value of the integers a and b are 3 and - 18 respectively.

Learn more about algebraic expressions here :

https://brainly.com/question/1382660

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Answer:

The answer is [tex]2\frac{1}{12}[/tex]

Step-by-step explanation:

Answer:

25/12

Step-by-step explaining.

mark brainiest

Answer:

฿₹Ø: 1391 US$

Step-by-step explanation:

Answer: A

Hope this helps

Answer:

dependent & changes by a constant rate

Step-by-step explanation:

dependent because it involves something that involves something else

Answer:

..

Step-by-step explanation:

no the correct point would be (7,12)

7x1=7

7+5=12

Answer:

nop0e

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

she would have a 50 percent chanse of wining cause its like division so 4 divided by 20 is 50 unless i am wrong whoever can write the right answer.

Answer:

105.6ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 4s

P = 26.4 x 4

P = (26 x 4) + (0.4 x 4)

P = 104 + 1.6

P = 105.6 ft^2

Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Answer:

hope it helps...

Answer:

-2

Step-by-step explanation:

-6 ( x - 8) = 60

• divide -6 on both sides

-6 and -6 cancel out and 60 ÷ -6 = -10

• your new equation is now x - 8 = -10

• add 8 to both sides x - 8 = -10

+8. +8

• x = -2

Answer:

B, rhombus and rectangle

Step-by-step explanation:

Why?

Because you can see none of their opposite lines intersect and they run on.

Answer:

Step-by-step explanation: 3√2

Answer:

Triangles ABC and ADC are congruent because they all have the same angles. AC bisects angle A which means that both triangles have the same angle measurement. C is a 180 degree angle and is bisected, meaning that both angles created are 90 degree angles and thus the same degree measurement.

Another reason why they are congruent is because the sides are equal. AB and AD are the same length because the picture shows a singular line on both sides meaning they are the same. The height of both triangles are the same because they share a height. BC and CD are the same length because AC is bisecting BD, meaning both sides are equal in length. Thus, both triangles have the same side measurements.

Answer:

yes it's all correct good luck

Answer:

I believe it would be 8 days.

Step-by-step explanation:

Answer:

A. -22

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

7x^5

Step-by-step explanation:

just is

Answer:

The answer is -[tex]-7x^{2}[/tex]

Step-by-step explanation:

By finding alike terms and combing them, you can figure out that -[tex]-7x^{2}[/tex] is the correct answer.

Answer:

sin x = 80/100

Step-by-step explanation:

sin = opp/hyp

sin x = 80/100

Answer:

Figures ABC and DEF

Step-by-step explanation:

Why is there a hole in your screen?

Answer:

The answer is QRS and TRU !!

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[tex]\frac{5x}{6} = 20\\5x = 120\\x = 24[/tex]

Answer:

70148.06

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

10x90=900

so the answer is 900

Answer:

ur airpods are broken if the case and 1 ear aint working

Step-by-step explanation:

Answer:

Tan(A) = [tex]\frac{8}{15}[/tex]

Hope it helps!

Answer:

4 hours

Step-by-step explanation:

Cost of renting a bike at Oceanside Bike Rental Shop = 18 + 8x

Where,

x = number of hours for renting the bike

Alyssa paid 50 dollars to rent a bike.

How many hours did she pay to have the bike checked out ?

C = 18 + 8x

50 = 18 + 8x

Subtract 18 from both sides

50 - 18 = 18 + 8x - 18

32 = 8x

Divide both sides by 8

32 / 8 = 8x / 8

4 = x

x = 4 hours

Answer:

6

Step-by-step explanation:

the opposite of -4 is 4 and then add 2

Answer:

Yeah 6

Step-by-step explanation:

Exact same steps as the person above :)

Good luck!!

Answer:

first option: m= 532 - 57h

Step-by-step explanation:

comment if u need explanation :)