The quadrants in which all the coordinates given are located is; As explained below.
<h3>How to Identify Quadrants in coordinates?</h3>
1) (2, 4) is located in Quadrant I where both x and y-values are positive.
2) (0, -3) is located in Quadrant II where x - values are positive but y-values are negative.
3) (-1, 1/2) is located in Quadrant IV.
4) (-2 1/2, -7) is located in Quadrant III where x and y values are both negative.
5) (0, 6) is located in Quadrant I where both x and y-values are positive.
6) (-5, 0) is located in Quadrant IV where x is negative but y is positive.
Read more about Quadrant Coordinates at; brainly.com/question/863849
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Answer:
area of triangle = 135 mm²
Step-by-step explanation:
Area of a triangle = 1/2 × b × h
Area of a triangle = 1/2 × 27 × 10
Area of a triangle = 135 mm²
Five-5
three-3
"the quantity five plus three" (5 + 3)
"one hundred times the quantity ..." means 100 (5 + 3)
now just solve 100(5+3)
solve the parentheses first (5+3) = 8
Now you are left with 100(8) or 100*8
when you solve your answer is 800
So this is considered a "special triangle." The 30-60-90 triangle states that if the short leg is x, then the hypotenuse is 2x and the long leg is x√3.
Since we have the short leg, to find the hypotenuse, or y in this case, multiply the short leg by 2:
17 × 2 = 34
Next, to find the long leg, or x in this case, multiply the short leg by √3:
17 × √3 = 17√3
<u>In short, x = 17√3 and y = 34. The correct option is the last option.</u>
Question:
The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?
Answer:
Step-by-step explanation:
Given
Represent the number of full price with x and discounted price with y.
From the question:
x = 180 more than y
So:
Also, a total of 240 were sold.
So:
Hence, the equations are:
Solving further;
Substitute 180 + y for x in
Solve for 2y
Divide through by 2
Recall that:
Hence:
<em>Full Price = 210</em>
<em>Discounted = 30</em>
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