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Karolina [17]
3 years ago
13

There are three consecutive integers. Four times the smallest integer is equal to six more than three times the smallest integer

. What is the smallest of the 3 integers?
Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.

4(x-1) = 3(x-1) + 6

x-1 = 5

x = 6

The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.

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Write <img src="https://tex.z-dn.net/?f=cot%5E%7B2%7D%20x%20%281%2Btan%5E%7B2%7D%20x%29" id="TexFormula1" title="cot^{2} x (1+ta
ASHA 777 [7]

Step-by-step explanation:

From Trig

1 + tan²x = Sec²x

Also

Sec²x = 1/cos²x

Now

Cot²x = 1/tan²x = cos²x/sin²x

Putting all together

Cot²x(1+tan²x)

= Cot²x(sec²x)

= cos²x/sin²x(1/cos²x)

cos²x on the numerator and that one the denominator cancels out

we have

= 1/sin²x

From Trig

1/sin²x = cosec²x

So Our Answer = cosec²x.

7 0
3 years ago
Mark wrote the highest score he made on his new video game as the product of 70*6000. Use the associative and commutative proper
Alex777 [14]
Mark can:

7*6=42
then just add back the 4 zeros

so its 42 0000
8 0
4 years ago
If Clarie bikes at an average speed of 7
nordsb [41]
The correct answer for this problem is A.
4 0
3 years ago
10.5 would round up to?
Morgarella [4.7K]
Hello,

The answer is "11".

Reason:

10.5=11

If the decimal number is 5 or over you round up one therefore you round up one.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
7 0
4 years ago
What is the Simplified form of √46/192
Lorico [155]

Answer:

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Step-by-step explanation:

\displaystyle\sqrt{\frac{46}{192}}=\sqrt{\frac{46\cdot 3}{192\cdot 3}}=\sqrt{\frac{138}{24^2}}=\frac{\sqrt{138}}{24}

8 0
3 years ago
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