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3 years ago

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Mathematics

1 answer:

Ad libitum [116K]3 years ago

5 0

In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other.

Let's take the lengths 5x-12 and x+20 and set them equal to each other.

5x - 12 = x + 20

Combine like terms by moving them over to their respective sides.

Subtract x from both sides of the equation.

4x - 12 = 20

Add 12 to both sides of the equation.

4x = 32

Divide both sides by 4.

x = 8

Check your answer by substituting.

5x - 12 = x + 20

5(8) - 12 = 8 + 20

40 - 12 = 28

28 = 28

Solution: x = 8

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Find Horizontal and Vertical asymptotes for y=(x^2 -9)/(4x^2 +1)

Gnom [1K]

Answer: Horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

Step-by-step explanation:

Since we have given that

$y=\dfrac{x^2-9}{4x^2+1}$

We need to find the horizontal and vertical asymptotes.

Since vertical asymptotes will occur where the denominator becomes zero.

So, here denominator is $4x^2+1$

Now,

$4x^2+1=0\\\\4x^2=-1\\\\x^2=\dfrac{-1}{4}\\\\x=\pm \dfrac{1}{2i}$

And the horizontal asympototes will occur when the coefficient of higher degree of numerator is divided by coefficient of higher degree of denominator.

$y=\dfrac{1}{4}$

Hence, horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

8 0

3 years ago

An airplane left Atlanta with 20 empty seats. If the airplane was 75% full, what was the total number of seats on the airplane?

jek_recluse [69]

Answer is <span>C. 80

hope that helps

75% are full with 20 seats empty so </span>20 seats empty = 25%

75% * 20 / 25% = 60

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2 years ago

63 miles in 270 minutes, what is the average speed in miles per hour

bearhunter [10]

Answer:

14 miles per hour

Step-by-step explanation:

Convert 270 minutes to hours first= 4.5hrs

Then divide 63 by 4.5= 14

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3 years ago

What does 17/800 equivalent to?

stepladder [879]

If you are looking for just any equivalent fraction then 34/1600 is the same as 17/800

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3 years ago

Given a triangle with perimeter 63 cm, one side of which is 21 cm, and one of the medians is perpendicular to one of its angle b

Rainbow [258]

Answer:

The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm

Step-by-step explanation:

Given that the perimeter of the triangle = 63 cm

And the length of one side = 21 cm

and one of the medians is perpendicular to one of its angle bisectors

Since triangle has 3 sides,

Median = 63 ÷ 3 = 21

Therefore each side length = 21 cm

7 0

3 years ago