A triangle has angles that measure 30 60 and 90 the triangle measures 10 inches
1 answer:
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Answer:
The answer to your question is the first option
Step-by-step explanation:
Process
1.- Identify the y-intercepts of the lines
blue line y-intercept = -1
brown line y-intercept = -2
With this information, we can discard the last option because those lines don't have those y-intercepts.
2.- We observe in the graphs that the lines are increasing so the slopes are positive. From this information, we can discard the second option.
3.- Calculate the slopes of the lines of options 1 and 3
Blue line Points (0, -1) (1, 2)
m =
Brown line Points (0, -2) (1, 1)
m =
As the slopes are 3, we conclude that the answer is the first option.
Answer:
Step-by-step explanation:
We are given the equation:
First, we can divide everything by 2:
Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:
Solve for u. Factor:
Zero Product Property:
Solving for both cases:
And by substitution:
For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:
Where n is an integer.
For the second case, sin(x) is -1 for every 3π/2. Thus:
All together, our solutions are: