Answer:
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Step-by-step explanation:
Answer:
a) (3, -4), (2, 4), (-5, -6)
b) (4, 3), (-4, 2), (6, -5)
Step-by-step explanation:
a) Reflection in the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y)
(3, 4) ⇒ (3, -4)
(2, -4) ⇒ (2, 4)
(-5, 6) ⇒ (-5, -6)
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b) Reflection in the line y=x swaps the x- and y-coordinates:
(x, y) ⇒ (y, x)
(3, 4) ⇒ (4, 3)
(2, -4) ⇒ (-4, 2)
(-5, 6) ⇒ (6, -5)
Answer:
width = 9.36 ft
length = 21.36 ft
Step-by-step explanation:
Let the width be x ft long. Then it follows that the length will be (x+12) ft long.
To calculate the area would then be
x(x+12) = 200
x
x = 9.36 ft or x = -21.36 ft
We take the positive answer. So the dimensions are
width = 9.36 ft
length = 9.36 + 12 = 21.36 ft
Step-by-step explanation:
RS = RT-ST
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Step-by-step explanation:
<u>Given functions:</u>
<u>Find (f*g)(6):</u>
- (f*g)(6) = f(6)*g(6) = 6(6 - 1)*3(6) = 30*18 = 540
<u>In case it is a composite function (f · g)(6) the answer is different:</u>
- (f · g)(6) = f(g(6)) = f(3*6) = f(18) = 18*(18 - 1) = 306
