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Zepler [3.9K]
3 years ago
6

Does the rule y = 2 · x + 4 represent a linear or an exponential function? Explain.

Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0
<span>B.
Linear function; the independent variable x is not an exponent.

But for me, answer is:
</span>
Linear function; <span>the function is in the form y = mx + b, where m = slope, b = y-intercept, and x is a real number.
</span>
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3 years ago
Find the measure of angle X in the triangle below.
Elan Coil [88]

Answer:

  X = 89.92° or 90.08°

Step-by-step explanation:

The law of sines can be used to find the value of angle X:

  sin(X)/26 = sin(67.38°)/24

  sin(X) = (26/24)sin(67.38°) ≈ 0.99999901787

There are two values of X that have this sine:

  X = arcsin(0.99999901787) ≈ 89.92°

  X = 180° -arcsin(0.99999901787) ≈ 90.08°

There are two solutions: X = 89.92° or 90.08°.

_____

<em>Comment on the problem</em>

We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.

The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...

  arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°

This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.

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3 years ago
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