Answer:
This case has NO solutions.
Step-by-step explanation:
Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.
This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":
As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).
Therefore, there is no angle we can find to build a triangle with the given data.
Answer:
8x^2+19x
Step-by-step explanation:
Simplify the expression by combining like terms. Terms which look a like and sound a like should be added together.
3x^2+7x+3+5x^2+12x
x^2 terms: 3x^2+5x^2=8x^2
x terms: 7x+12x=19x
constants: 3
Together is is 8x^2+19x+3.
Direct variation is y=kx, inverse variation is y=k/x....
-5y=-2x divide both sides by -5
y=2.5x
So this is a direct variation with a constant of 2.5
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Answer:
To estimate the quotient, make the fractions "like" fractions. To do this, you need to make the fractions have the same denominator, and turn them into improper fractions.
Step-by-step explanation:
Now the denominators are the same --> they are "like" fractions.
Your answer is 
.
I hope this helps!
Answer:
2nd graph (image)
Step-by-step explanation:
The function to graph is:
It follows the general pattern of the function: 
, which is general shape and in 1st and 3rd quadrants. So, we can eliminate 3rd and 4th choices (because of quadrants).
The answer is either 1st, or 2nd graph.
Now, we simply can check a point in both.
lets take x = 4, so the function would be:
f(4) = 4/4 = 1
Hence, point is:
(4,1)
The first graph doesn't go through this point. The second graph does.
hence, we can successfully choose the 2nd graph as our answer.
