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Answer: D. x=9√3; y=18
Step-by-step explanation:
This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)
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<u>X value</u>
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the second short side is x√3
- Substitute value in= x√3=(9)√3=9√3
Y value
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the longest side is 2x
- Substitute value in= 2x=2(9)=18
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Answer:
The graph shows the solution of the inequality y > x - 2 ⇒ D
Step-by-step explanation:
In the inequality,
- If the sign of inequality is ≤ or ≥, then the line that represents it must be a solid line
- If the sign of inequality is < or >, then the line that represents it must be a dashed line
- If the sign of inequality is > or ≥, then the shaded area must be over the line
- If the sign of inequality is < or ≤, then the shaded area must be under the line
From the given graph
∵ The slope of the line = =
=
=
∵ The y-intercept is (0, -2)
∵ The line is dashed and the shaded area is over the line
→ By using the 2nd and 3rd notes above, the line is dashed and
the sign of inequality is >
∴ The inequality is y > x - 2
∴ The graph shows the solution of the inequality y > x - 2