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Alexus [3.1K]
3 years ago
7

What is the smallest solution to the equation 2x^2+17=179

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0
The goal is to put the equation in the simplest form to solve:
2x²+17=179

Subtract both sides by 17.
179-17= 162
2x²=162

Square root 162.
√162 = 12.7 (rounded)
2x=12.7

Divide both sides by 2.
12.7/2= 6.4 (rounded)
x=6.4

The variable x is 6.4, rounded to the nearest tenth for simple purposes.

Hope this was helpful.
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Answer: sqrt(2)/2  which is choice D

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

Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

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Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2

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Prove ABC~EDC ?
erastova [34]

Answer:

AA similarity theorem

Step-by-step explanation:

we know that

<u>AA (Angle-Angle) Similarity</u> states that  In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar

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