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tankabanditka [31]
3 years ago
14

Lim. √2x -√3x-a/√x-√ax approaches a​

Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

Answer: \sqrt{2}a-\sqrt{3}a-2\sqrt{a}

Step-by-step explanation:

\lim _{x\to \:a}\left(\sqrt{2}x-\sqrt{3}x-\frac{a}{\sqrt{x}}-\sqrt{a}\right)

=\sqrt{2}a-\sqrt{3}a-\frac{a}{\sqrt{a}}-\sqrt{a}

=\sqrt{2}a-\sqrt{3}a-2\sqrt{a}

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Solve the equation for x.<br> 12x + 20 = 5x - 10 - 3x
Romashka [77]

Answer:

x = -3

Step-by-step explanation:

seperate this equation into different sides where like terms are on each side.

12x + 20 = 5x - 10 - 3x

12x - 5x + 3x = -10 - 20

simplify

10x = - 30

x =  - 3

3 0
3 years ago
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What amount of discount does Ethan get.
zlopas [31]

Answer:

Step-by-step explanation:

Think about how many boxes he had bought, which totals to over £80 which means he had received an 8 percent discount hope this is right

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4 years ago
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
ivanzaharov [21]

Answer:

x = 6

y = 3

Step-by-step explanation:

Give triangle is a right triangle.

By applying sine ratio in the given triangle,

sin(60)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}

x = 6

Now we take the cosine ratio in the given triangle,

cos(60)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{y}{x}

y = \frac{x}{2}

y = \frac{6}{2}=3

Therefore, x = 6 and y = 3 will be the answer.

3 0
3 years ago
HELP<br> i think that 10-10 is 87 but meh fren says <br> 10-10 is 100<br> who is right
Natali [406]

Answer:

10 - 10 as in 10 minus 10? 10 minus 10 is 0. Both of you are wrong.

5 0
3 years ago
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Leokris [45]

Answer:

5 = side a

3 = side c

angle B = 62 degrees

JK is side b

Use the Law of Cosines to find the length of side b.

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b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)

b^2 = (25 + 9) − 30 x 0.469

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b = √19.916

b = 4.463

Rounded to the nearest tenth is 4.5 mm.

Hope this helps!

Step-by-step explanation:

4 0
3 years ago
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