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3 years ago

Which side lengths could be used to form a triangle?

Mathematics

1 answer:

vova2212 [387]3 years ago

5 0

1m ,2m, 2m
It always equal less than 7

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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

Sam wants to buy 8 pencils and 6 pens, which cost a total of $8.50. He realizes he doesn't have enough cash and instead takes on

Diano4ka-milaya [45]

X = pencils, y = pens

8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75

4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50

8 0

3 years ago

Lucy is going to invest in an account paying an interest rate of 7% compounded daily. How much would Lucy need to invest, to the

Lubov Fominskaja [6]

Answer:

Lucy needs to invest $55,194.16

Step-by-step explanation:

5 0

3 years ago

Factor 15c·(a+b)+8·(b+a)

AleksAgata [21]

Answer:

(15c + 8)(a + b).

Step-by-step explanation:

15c·(a+b)+8·(b+a)

(a + b) is common to both parts:

= (15c + 8)(a + b).

8 0

3 years ago

Solve for x 2^x+6=2^5

solong [7]

Answer:

Stesksp-by-step explanation:

6 0

3 years ago