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shepuryov [24]
3 years ago
13

Help!! WHAT IS THE VALUE OF Y??

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Your answer would be C: 44 degrees.

1. Find the value for the third angle.

We know that two of the angles are y, but we need to find the other angle in order to solve this problem. There is a line connecting off of the angle, so for a moment, lets ignore the triangle and just look at the line.

A line is 180 degrees. That means that if we subtract 88 from 180, we can get the value for the third angle. 180-88=92.

2. Find y.

The total value of all the angles of a triangle is 180 degrees. Lets first find the value of two of the y angles combined. 180-92=88

Since both of the remaining angles are y, that means that they are equal. This means that all we have to do now is divide 88 by 2 to get the value of y. 88/2=44

y=44 degrees

I'm really bad at explaining things, but I hope this helped!

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Describe the following variation: y/x2=5
Firdavs [7]
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that is y=5x^2

for x≠0, in which case x=y=0, we distinguish the following intervals:

I   = (-infinity, -1]
II  = (-1, 0)
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III = [1, infinity)

Case I, consider the cases (examples)   x= -5, and x= -6

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5(-\frac{1}{2})^2= \frac{5}{4}\\\\ 5(-\frac{1}{3})^2= \frac{5}{9}\\\\\frac{5}{9}\ \textless \  \frac{5}{4}

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Case III, consider the cases (examples)   x= 5, and x= 6

5(6)^2\ \textgreater \ 5(5)^2, so we can conclude that the greater the x, the greater the y.

Case III, consider x= 1/3 < x=1/2

5(\frac{1}{2})^2= \frac{5}{4}\\\\ 5(\frac{1}{3})^2= \frac{5}{9}\\\\\frac{5}{9}\ \textless \ \frac{5}{4}

thus, the greater the x, the greater the y.


Conclusion:

y=0 only if x is 0. Otherwise y>0 always:

for x<0,   x and y are inversely proportional

for x>0,   x and y are directly proportional.


Remark, an other possible consideration in cases could be x<0 and x>0 only.


Remark, 
another approach is considering the graph of y=5x^2, which is a parabola, with the vertex at (0, 0) opening upwards.

From the graph we can find the same conclusion. That is we can see that the farer we get away from the y-axis, in both direction, the larger the values of y become.

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