simplify -12x^4/x^4+8x^5 brainly
What is x

Answers

Answer 1

Answer:

-12+8x^5

bkhlvyuiv,ibk

Answer 2

ANSWER

[tex]\frac{ - 12}{1 + 8x} [/tex]

EXPLANATION

The given rational expression is

[tex] \frac{ - 12 {x}^{4} }{ {x}^{4} + 8 {x}^{5} } [/tex]

We factor to get;

[tex]\frac{ - 12 {x}^{4} }{ {x}^{4} (1+ 8 {x}) } [/tex]

We can see that:

[tex] {x}^{4} [/tex]

is common to both the numerator and the denominator.

We cancel out the common factors to obtain;

[tex]\frac{ - 12 }{ 1+ 8 {x}} [/tex]

Therefore the simplified form is

[tex] \frac{ - 12}{1 + 8x} [/tex]


Related Questions

somebody pleaseeeee helppppppp quick!!!!!!!!!!
Mia surveys a random sample of 260 students from her middle school to learn what type of school lunch is preferred. The table below shows the result of the survey:


Lunch Type Sandwich Hot Dog Salad
Number of students 122 15 123


Which of the following inferences can be made based on the data?
A sandwich is the most preferred lunch.
Sandwiches and salads are almost equally preferred.
A hot dog is two times more popular than sandwich.
A salad is almost two times more popular than a hot dog.

Answers

Answer:

the answer is the second one

Answer:

The correct answer is "Sandwiches and salads are almost equally preferred."  

Step-by-step explanation:

From the survey, we get

122 students prefers Sandwich

15 students prefers Hot Dog

123  students prefers Salad

We are going to analyse every option

A sandwich is the most preferred lunch.  FALSE

Most preferred lunch is Salad (123) ,  sandwich is 122

Sandwiches and salads are almost equally preferred.  TRUE

A hot dog is two times more popular than sandwich. FALSE

No,  hot dog is 15 ,  and sandwich is 122,  sandwich is more popular than hot dog

A salad is almost two times more popular than a hot dog. FALSE

No,  hot dog is just 15 , and salad 123 more than 8 times hot dog

Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours.

Rory’s battery was full at 6:00 a.m, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three options.
12:00 p.m.
3:00 p.m.
5:00 p.m.
8:00 p.m.
11:00 p.m.

Answers

11:00 8:00 5:00
And a bunch of words to fill in the 20 spaces needed

Write “12 more than r” as an expression

Answers

Answer:

12 + r or r + 12

Step-by-step explanation:

Either way can be written as the expression 12 is more than r or x

Answer:

f(r) = r + 12

Step-by-step explanation:

An expression is an equation that usually involves x and y. When we are dealing with a unknown number we use a variable. some common variable is x and y, in this instance we will use r. Therefore we have to have r in our expression. however, we need a output therefore we use function of r. (f(r))

p.s. F(r) usually represents y.

futhermore, if you see more than you know you will use addition.

hope this helps!

f(x) = 2x - 8
g(x) = -5x
What is h(x) = f(x)g(x)?

Answers

Answer:

-10x^2 + 40x

Step-by-step explanation:

f(x) = 2x - 8

g(x) = -5x

f(x)g(x)= (2x-8) (-5x)

            = -10x^2 + 40x

Which quantities is proportional to 26⁄13?

Answers

Quantities that are proportional to 26/13 are any other fractions that can reduce to positive 2.

26/13 = 26 ÷ 13 = 2

10/5 = 10 ÷ 5 = 2

200/100 = 200 ÷ 100 = 2

Answer:

So any fraction equal to 2 will work.

Step-by-step explanation:

Don't know which but I could tell you some that are equivalent to or proportional to 26/13.

26/13 reduces to 2 so 2 is a quantity that is proportional to 26/13

So any fraction equal to 2 will work.

What is the solution for the inequality -4(x+3)<-2-2x?

Answers

Hello!

Answer:

[tex]\boxed{X>-5}\checkmark[/tex]

The answer should have negative sign.

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, expand.

-4(x+3)=-4x-12

-4x-12<-2-2x

Then add by 12 both sides of an equation.

-4x-12+12<-2-2x+12

Simplify.

-4x<-2x+10

You add by 2x both sides of an equation.

-4x+2x<-2x+10+2x

Simplify.

-2x<10

Multiply by -1 both sides of an equation with reverse inequality.

(-2x)(-1)>10(-1)

Simplify.

2x>-10

Then you divide by 2 both sides of an equation.

2x/2>-10/2

Finally, simplify and solve to find this answer.

-10/2=-5

[tex]\boxed{x>-5}[/tex], which is our correct answer.

Hope this helps you!

Have a nice day! :)

Thank you!

-Charlie

Graph AABC with vertices AC-3, 4), B(-1,2), and C(-2,0) and its image after a 270° rotation about the origin.

Answers

Answer:

Here's what I get.

Step-by-step explanation:

The formula for rotation of a point (x,y) by an angle θ about the origin is  

x' = xcosθ  -  ysinθ

y' = ycosθ + xsinθ

If θ = 270°, sinθ = -1 and cosθ = 0, and the formula becomes

x' =    y

y' =  -x

A: (-3,4)  ⟶ (4,3)

B: (-1,2)   ⟶ (2,1)

C: (-2,0) ⟶ (0,2)  

The vertices of A'B'C' are (4,3), (2, 1), and (0, 2).

The Figure below shows the triangle before and after the rotation.

0.2 is 1/10 of 2 true or false

Answers

Answer:

true

Step-by-step explanation:

1/10=0.1

0.1*2=0.2

By property of fraction, 0.2 is 1/10 of 2 is true.

What is property of fraction ?

By the property of fraction we know that 1/x times of a is a/x where a and x are two non-zero real numbers.

Given statement is 1/10 of 2

Thus we have, 1/10*2 = 2/10

And, 2/10 = 0.2 .

Therefore, by property of fraction, 0.2 is 1/10 of 2 is true.

To learn more about property of fraction, refer -

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Emily went to a local shop to purchase some round rugs. Each rug has a radius of 3 feet. She is
trying to cover as much of the floor of her 18 foot by 20 foot living room as possible without
any overlap of the rugs. How much of the bare floor will be visible around the rugs?
A. 20.76 square feet
B. 254.47 square feet
C. 9 square feet
D. 105.5 square feet

Answers

Answer:

D. 105.5 square feet

Step-by-step explanation:

Given:

The  rug has a radius of 3 feet.

The floor dimensions are 18 feet by 20 feet.

Now we have to find the area of the rug using area of the circle formula and also we need to find the area of the floor which is in rectangle shape.

Area of a circle = [tex]\pi r^2[/tex]

r = 3 feet and the value of [tex]\pi = 3.14[/tex]

Now plug in the given values in the above formula, we get

Area of a rug = 3.14*3*3

Area of a each rug is  28.27 square feet.

Now let's find the area of the floor.

Area of the floor = length * width

Here length = 18 feet and width = 20

The area of the floor = 18*20

= 360 square feet

Now we have to find how many rugs needed to cover the floor without overlap.

Here the radius of the rug = 3 feet

The diameter of the rug = 2*radius = 2*3 = 6 feet

So one rug covers 6 feet by length and width.

Therefore, 18/6 = 3

The width is 20 feet

20/6 = 3, we have to take the whole number part only.

So Emily needs only 3*3 = 9 rugs.

The area of the 9 rugs = 9*28.27  = 254.43

To find the bare floor will be visible around the rugs, we need to subtract the area of the 9 rugs from the floor area

Bare floor = 360 - 254.43

Bare floor = 105.5 square feet.

Find the sum of the sequence 45+46+47+48+.... +124

Answers

Answer:

[tex]\boxed{6760}[/tex]

Step-by-step explanation:

The formula for the first n terms of an arithmetic sequence is

Sₙ = n(a₁+ aₙ)/2

1. Find the number of terms

n = (124 - 45) + 1 = 79 + 1 = 80

2. Find the sum

 a₁ =   45

a₈₀ = 124

[tex]S_{80} = 80 \left(\dfrac{45 + 124 }{2}\right) = 80 \times 84.5= \boxed{\mathbf{6760}}[/tex]

Use the function to find f(-2)

Answers

Answer:

f(-2) = 1/9

Step-by-step explanation:

Plug in -2 to x in the equation:

f(x) = 3^x

f(-2) = 3^(-2)

Solve. Note that if there is a negative in the power, you must flip the "fraction" and set it over 1. The answer itself does not become negative:

f(-2) = 1/(3^2)

f(-2) = 1/(9)

f(-2) = 1/9 is your answer.

~

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:Substitute the -2 into the equation.  [tex]f(-2)=3^{-2}[/tex]Begin to simplify the exponent.  [tex]x^{-y}=\frac{1}{x^y}[/tex], so you get [tex]f(-2)=\frac{1}{3^2}[/tex]Finish simplifying the exponent.  3 times 3 is 9.  [tex]f(-2)=\frac{1}{9}[/tex]

(t9)-8 what is the simplify expression

Answers

The answer would be -72t because all you would have to do is multiply the expression

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (t^9)^{-8}\implies t^{-8\cdot 9}\implies t^{-72}\implies \cfrac{1}{t^{72}}[/tex]

How many positive integers less than 60 have an even number of positive divisors?

Answers

Answer:

There are 52 such numbers that have even divisors.

Step-by-step explanation:

All the  numbers between 2 and 59 have an EVEN number of positive divisors.

Except the Perfect Squares..

or 4, 9, 16, 25, 36 and 49, which have 3 divisors each.

So:

59 - 2 + 1 =58

Now subtract 58 from 6 (perfect squares)

58- 6=52

Therefore,it means that there are 52 such numbers that have EVEN divisors....

Answer:

52

Step-by-step explanation:

Write the function of the graph

Answers

Answer:

Option A: f(x) = 4 * 2^x

Step-by-step explanation:

4 because it is the y intercept.

2 because if you see point (1,8), yousee the 8 = 4 * a^1 where a = 2

If you need more explanation, please comment below.

Thank you!!

Answer:

A. [tex]f(x)=4\cdot (2)^x[/tex]

Step-by-step explanation:

We have been given graph of a function. We are asked to write the function formula from given graph.

We can see that our given function is an exponential function, so it will be in form [tex]y=a\cdot b^x[/tex], where,

a = Initial value or y-intercept,

b = Growth rate.

We can see that y-intercept is 4.

Now, we will solve for b using the point (1,8) as:

[tex]8=4\cdot b^1[/tex]

[tex]8=4\cdot b[/tex]

[tex]\frac{8}{4}=\frac{4\cdot b}{4}[/tex]

[tex]2=b[/tex]

Therefore, our required function would be [tex]f(x)=4\cdot (2)^x[/tex] and option A is the correct choice.

Which functions are even? check all the boxes that apply.
pls hurry!!

Answers

If a function is even, it gives the same result for positive and negative inputs such as 8 and -8.

From the choices, the even functions are D and A.

D because the absolute value thing makes any input positive, and A because any number raised to an even power gives a positive result.

A function assigns the value of each element of one set to the other specific element of another set. The correct options are A and D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function is an even function if f of x is equal to f of −x for all the values of x.

A.)

f(x) = x⁴ - x²

f(-x) = (-x)⁴ - (-x)²

      = x⁴ - x²

Since f(x) and f(-x) are equal, therefore, the given function is a function.

B.)

f(x) = x² - 3x + 2

f(-x) = (-x)² - 3(-x) + 2

      = x² + 3x + 2

Since f(x) and f(-x) are not equal, therefore, the given function is a function.

C.)

f(-x) = √[(-x)- 2]

      = √(-x- 2)

Since f(x) and f(-x) are not equal, therefore, the given function is a function.

D.)

f(x) = |x| = x

f(-x) = |-x| = x

Since f(x) and f(-x) are equal, therefore, the given function is a function.

Hence, the correct options are A and D.

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what is the slope-intercept from of the equation y+5=4(x+8)?​

Answers

Answer:

y=4x+27

Step-by-step explanation:

y+5=4(x+8)= (5-)y+5=4x+32(-5)

y=4x+27

It is $50 to join a club and then $15 per month. Which expression below represents the monthly fee?
a.
15m + 50
b. 65m
c.
15 + 50m
d.
3.3m

Answers

Answer:

A

Step-by-step explanation:

You only have to pay the $50 one time and then you add the $15 and multiply it by however many months you choose to do.

Answer: A

Step-by-step explanation: Hope this helps

Compare the rates of change of the following items.


A.
The rate of change of item I is greater than the rate of change of item II.

B.
The rate of change of item II is greater than the rate of change of item I.

C.
The rate of change of item I is equal to the rate of change of item II.

Answers

Answer:

It was A.

Step-by-step explanation:

the rate of change of item I is greater than the rate of change of item II.

I just had it and answer B. was wrong

The rate of change of item I is greater than the rate of change of item II. (Option A)

How to find the rate of change of a linear equation?

Suppose that the considered linear equation is of the form [tex]y = mx + c[/tex]

Then, when we change x by 1 unit, then:

[tex]y + \delta y = m(x + 1) + c\\mx + c + \delta y = mx + c + m\\\delta y = m[/tex]

where [tex]\delta y[/tex] shows the change in y as x changes by 1 unit.

We found that this change is the value of 'm'.

It is called slope of the line this equation represents (each linear equation represents a line).

Finding rate of each item:

Case 1: y =  3x - 11

The rate is 3 units increment in y per unit increment in x. In short, the rate is 3 unit / unit increment in x

Case 2:

Since graph of a straight line is given, we can find its slope which would represent its rate.

Consider x = 0, for which y = 0 is given in graph.

Now change x by 1 unit, so x becomes x = 1

At x =1 , y = 2

So we see that as x changes by 1 unit, y goes from 0 to 2 (change of 2 units).

Hence, the rate is 2 units increment in y per unit increment in x. In short, the rate is 2 unit / unit increment in x

Thus, the rate of change of item I is greater than the rate of change of item II. (Option A)

Learn more about rate of change of a function here:

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A single, six-sided die is rolled. Find the probability of rolling an odd number or a number less than 4.

Answers

There are 6 possible outcomes:
Rolling a 1, 2, 3, 4, 5, or 6

Odd outcomes include 1, 3, 5 with the addition of 4 is equal to a total of 4 out of 6 possible outcomes to role one of those numbers.

The answer is 4/6 or 2/3

Answer:

your answer is there are 6 possible outcomes:

1, 2, 3, 4, 5 or 6

Items are 1, 3, 5 and 4 are equal to a total of 4 out of 6 results.

The answer is 4/6 or 2/3

Hope this helps :) -Mark Brainiest Please :)

Which table of values could be generated by the equation 4y−2x=16

Answers

Answer:

x=0, y=4

x=2, y=5

x=4, y=6

x=6, y=7

x=8, y=8

x=10, y=9

For every x value goes up one, the y value goes up 2.

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

x=0, y=4

x=2, y=5

x=4, y=6

Step-by-step explanation:

If x varies directly with y and x = 6 when y = 15, find x when y= 20.

Answers

Answer:

8

Step-by-step explanation:

Varies directly think y=kx

Varies indirectly think y=k/x

We have first option so y=kx

x=6 and y=15 means we have 15=k(6)

So k=15/6 or reducing gives=5/2

So we just found our constant of proportionality, this number never changes.  It stays the same no matter what x or y they give you...

So the equation is y=5/2 *x

Now what is x if y=20

Plug in 20=5/2 *x

So x=20*2/5=40/5=8

Which of the graphs above is the graph of the equation below?
y = 13 – 632 + 111 - 6 = (1 - 3)(1 – 2)(1 - 1)

Answers

Answer:

Shown below

Step-by-step explanation:

To solve this problem, we need to analyze the leading coefficient and the roots of the polynomial function:

[tex]f(x)=x^3-6x^2+11x-6[/tex]

Recall that a polynomial function can be represented by:

[tex]f(x)=a_{n}(x)+ \ldots +a_{1}x+a_{0}[/tex]

So the leading coefficient is [tex]a_{n}[/tex]. In our problem, this coefficient is [tex]a_{n}=1[/tex]

Since [tex]n[/tex] is odd and the leading coefficient [tex]a_{n}>0[/tex], then the graph must falls to the left and rise to the right. Also, the roots are [tex]x_{1}=1 \ x_{2}=2 \ and \ x_{3}=3[/tex]. So the only graph that matches this is the fourth one as indicated below.

Answer:

w

Step-by-step explanation:

for Plato

Factor p 2 + 18p + 32.
(p+ 4)(p + 8)
(P + 2)p+ 16)
(P + 16)2

Answers

Answer:

(P + 2)(p+ 16)

Step-by-step explanation:

Factor p 2 + 18p + 32.

Consider the form  x² +bx +c. Find a pair of integers whose product is  c  and whose sum is b .

In this case, whose product is  32  and whose sum is  18 .

2,16 .

Write the factored form using these integers.

(P + 2)(p+ 16)

                                        CHECK

(P + 2)(p+ 16)

distribute

p(p+16) + 2(p+16)

simplify

p² + 16p + 2p + 32

combine 16p + 2p = 18p

p² + 18p + 32

Please mark as brainliest

Answer:

(p + 2)(p + 16)

That's your answer!!

Solve log_8 12 = x – 2 . Round your answer to four decimal places.

Answers

Step-by-step answer:

Let's attack the left side:

log_8 12 = log (base 8) 12 = log(12)/log(8) = 1.1949875 (approx.)

Next solve

log_8 12 = x-2

log(12)/log(8) = x-2

x = 2 + log(12)/log(8)

= 3.195 (to one thousandth)

For this case we have the following expression:

[tex]log_ {8} (12) = x-2[/tex]

We rewrite how:

[tex]x-2 = log_ {8} (12)[/tex]

We add 2 to both sides of the equation:

[tex]x = log_ {8} (12) +2[/tex]

We rewrite [tex]log_ {8} (12)[/tex] as[tex]log_ {8} (2 ^ 2 * 3):[/tex]

[tex]x = log_ {8} (2 ^ 2 * 3) +2[/tex]

We apply logarithm properties:

[tex]x = log_ {8} (2 ^ 2) + log_ {8} (3) +2[/tex]

We apply logarithm properties:

[tex]x = 2log_ {8} (2) + log_ {8} (3) +2[/tex]

The logarithmic base 8 of 2 is [tex]\frac {1} {3}:[/tex]

[tex]x = 2 (\frac {1} {3}) + log_ {8} (3) +2\\x = \frac {2} {3} + log_ {8} (3) +2[/tex]

We simplify:

[tex]x = \frac {2} {3} + 2 + log_ {8} (3)\\x = \frac {2 + 6} {3} + log_ {8} (3)\\x = \frac {8} {3} + log_ {8} (3)[/tex]

Decimal form:

3,195

Answer:

[tex]x = \frac {8} {3} + log_ {8} (3) = 3,195[/tex]

What is the product of (3) (-16) (-7)(-14),
OA.
7
0
B. -
OC -
OD.
help

Answers

Answer:

(3)(-16)(-7)(-14) = (-48)(-7)(-14) = (+336)(-14) = - 4704;

Step-by-step explanation:

which terms can be defined as "the steepness of a line" ?

Answers

The steepness of a line is slope.  This is how fast y changes with respect to x.  It is the rise over the run.

Hope this helps!!

This is called slope

You just finished paving a rectangular driveway measuring 75 feet by 20 feet. You charged the customer $1,000. After deducting the expenses shown below, how much profit did your company make on this job?

Answers

Answer:

The missing information is attached in the picture below.

The company made $292.5 dollars in profit.

Step-by-step explanation:

Using the information provided by the table, we can calculate how much money was spent

1. gravel

12 and a half cubic yards * $15  = $187.5

2. tar/sealant

$0.15 per square foot * (75*20 ft^2) = $225

3. labor

$10 per hour * 25 hours = $250

4. insurance

fixed $45

We add all the expenses together

$(187.5 + 225 + 250 + 45)  = $707.5

The profit will be equal to

$1000 - $707.5 = $292.5

Step-by-step explanation:

A rectangular field is 400 meters long and 300 meters wide area in square kilometers

Answers

=0.12km2

What does a rectangle look like?

A rectangle is the shape with parallel opposite sides, combined with all the 90 degree angles. As the type of the parallelogram, it has the opposite parallel sides. In the rectangle, 1 set of parallel sides is longer than the other, making it look like an elongated square

The rectangle field is 400 meters long and 300 meters wide. What is the area in square kilometers?

1km=1000m

Secondly the area of the rectangle is defined as the product of the width or the height:

A= w∗h

We could now approach the problem in 2 ways, we convert the sides of the rectangle to kilometers 1st and we convert the area from square meters to the square kilometers.

Convert sides:

Let w = width, h = height and A = area

w=300m=300/1000m=0.3km

h=400m=400/1000m=0.4km

A=0.3∗0.4km2=0.12km2

Convert area:

Let's first calculate the area in square meters:

Am=300∗400=120000m2

We know from above that 1km=1000m

That gives 1km2=1000∗1000m2=1000000m2

So Ak=Am/1000000=0.12km2

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the area of the rectangular field is 0.12 square kilometers.

To calculate the area of a rectangular field in square kilometers, you need to multiply the length and width of the field and then convert the result from square meters to square kilometers. Given that the rectangular field is 400 meters long and 300 meters wide, the area in square meters is calculated as follows:

Area = length × width = 400 m × 300 m = 120,000 m2

Since 1 square kilometer (km2) is equal to 1,000,000 square meters (m2), you convert square meters to square kilometers by dividing by 1,000,000:

Area in square kilometers = Area in square meters / 1,000,000 = 120,000 m2 / 1,000,000 = 0.12 km2

Therefore, the area of the rectangular field is 0.12 square kilometers.

What is the opposite of -|-7| ?

Answers

Answer:

7

Step-by-step explanation:

-|-7|=

-1 (|-7) =

|-7| = absolute value of |-7| is 7 because an absolute number is always positive.

the minus symbol should be -1.

so the sum is -1(7) = -7

the opposite of -7 is 7

Answer:

Step-by-step explanation:

the opposite of -|-7| is : - (-|-7|) = 1+7l

prove that angle abc is a right angle with vertices a(-4,3), B(0,-1) and C(2,1)​

Answers

Check the picture below.

clearly the angle at vertex C isn't the right angle, so let's check if AB ⟂ BC.

[tex]\bf A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad B(\stackrel{x_2}{0}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-3}{0-(-4)}\implies \cfrac{-4}{0+4}\implies \cfrac{-4}{4}\implies -1 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf B(\stackrel{x_1}{0}~,~\stackrel{y_1}{-1})\qquad C(\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-1)}{2-0}\implies \cfrac{1+1}{2}\implies \cfrac{2}{2}\implies 1 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{1}\implies 1}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{so is a right triangle}}{AB\perp BC}~\hfill[/tex]

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