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jolli1 [7]
3 years ago
15

Log8(216)+[log(42)_log(6)]÷log(49)​

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

  • 3 log (3) + 1/2

Step-by-step explanation:

  • log8(216) + [log(42) - log(6)] ÷ log(49)​ =
  • log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =
  • 3 log (3) log (2)  / 3 log (2) + log (7) / 2 log (7) =
  • 3 log (3) + 1/2
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<h3>Answer: Choice A</h3>

========================================================

Explanation:

The left side 6^2+8^2 simplifies to 100 since 6^2+8^2 = 36+64 = 100

The right side is also 100 because 10^2 = 100

So 6^2+8^2 = 10^2 is a true equation because both sides are the same number.

Therefore, a triangle with sides 6,8,10 is a right triangle. The hypotenuse 10 is the longest side opposite the 90 degree angle. In other words, the 90 degree angle is between the sides 6 ft and 8 ft.

So this is why choice A is the final answer.

-----------

Choice B is false because the inequality 8^2+10^2 < 11^2 becomes 164 < 121 which is also false. Even if that inequality was true, we can't use it to form a right triangle. We need both sides to be equal.

Choice C is false because we need to have both sides equal to the same number. We need to have a^2+b^2 = c^2 to be true if we want a right triangle with sides a,b,c.

Choice D is false because of the phrasing "Draw any two of the sides with a right angle between them". The 90 degree angle must go between the 6 and the 8, and nowhere else.

5 0
2 years ago
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Zielflug [23.3K]

Answer:

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First, we must arrange this equation into slope-intercept form, or  y=mx+b form.

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Now that the equation is in slope-intercept form, it is easy to find the y-intercept, as it  is just the b-value.

In this case, the b-value is 8, so the y-intercept is (0,8).

Let me know if  this helps!

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