First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2
If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12
Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).
I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
Answer:
x=-5
Step-by-step explanation:
Answer:
the distance between the points is about 9.2 units
Step-by-step explanation:
It is well you should not understand it. <em>No question is asked</em>.
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The answer choices suggest you are to find the distance between the two points. There is only one choice in a reasonable range: 9.2 units.
Each point is more than 2 units from any axis, so 2 units is clearly not the answer. The size of the graph is much less than 81 units, so clearly that is not the answer.
The difference of coordinates in the x-direction is 6; in the y-direction the difference is 7 units. The distance between the points will be more than the longest of these (7) and less than about 1.5 times that (10.5). Only one choice is in this range: 9.2 units.
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The Pythagorean theorem is used to calculate the distance between points. The distance is considered to be the hypotenuse of a right triangle with legs of lengths equal to the differences of coordinates. Here, that means the distance (d) is ...
d² = 6² + 7² = 36 +49 = 85
d = √85 ≈ 9.2 . . . . grid squares, or "units"
<u><em>The third one is correct.</em></u> You cannot figure it out from the parent function, |x|, because they are all the same. As a result, you have to figure it out from the y-intercept. The y-intercept of a function most of the time is the <em>constant</em> of the function. The y-intercept here is <em>0.5</em>. Using this, you can find the corresponding graph. That would be the <u><em>third </em></u><u><em /></u><em /> option.
Hope I helped! Happy New Year!
