Well, the area of a trapezoid is A = (

+

) * h * 1/2 so you can use the area of a parallelogram, which is A = l * w, by splitting the trapezoid into 2 triangles and one rectangle. So you'd use A = l * w for the rectangle and A = 1/2bh for the triangles. You'd get the same answer!
Answer:
Step-by-step explanation:
Without a second equation relating x and y, we can solve 3x - 1/2y = 2 ONLY for x in terms of y or for y in terms of x:
x in terms of y: Multiply all three terms of 3x - 1/2y = 2 by 2, to eliminate the fraction: 6x - y = 4. Now add y to both sides to isolate 6x: 6x = 4 + y.
Last, divide both sides by 6 to isolate x:
x = (4 + y)/6
y in terms of x:
y = 6x - 4
If you want a numerical solution, please provide another equation in x and y and solve the resulting system.
Answer:
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Answer:
Explicit formula: a(n)=3n-6
Recursive formula: a(n)=-3+(n-1)3 <--
Step-by-step explanation:
a(n)=3n-6 where a(1)=3(1)-6=-3 and d=3
<u>Plug values into recursive formula:</u>
a(n)=a1+(n-1)d
a(n)=-3+(n-1)3
Step-by-step explanation:
Discriminant : k² - 4(12)(27) < 0
So k² - 1296 < 0, -36 < k < 36.