Answer:
(0, 4) (-4, 3) (-4, 4)
Step-by-step explanation:
Translation rules:
Units UP - Add to the y-coordinate.
Units DOWN - Subtract from the y-coordinate.
Units RIGHT - Add to the x-coordinate.
Units LEFT - Subtract from the x-coordinate.
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In this case, the word problem is asking for the points after a translation of 3 units up.
(x, y+3)
(0,1) → (0,4)
(4,0) → (4,3)
(4,1) → (4,4)
--------------------------------------------------------------------------------------------------------------Now it's time to reflect the new points over the y-axis.
When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)
(0,4) → (0,4)
(4,3) → (-4,3)
(4,4) → (-4,4)
Answer:
Step-by-step explanation:
c. 1.04 Double check though, because i'm not exactly sure
Answer: the eastbound train had travelled 12 miles
Explanation: using Pythagoras theorem, we know that
X^2 = a^2 + b^2
Where ^ stands for raised to power.
Let
a stand for the train going towards North and
b stands for the train going towards east.
X stands for the total distance between train a and b = 20 miles.
By Pythagoras rule
X^2 = a^2 + b^2
20^2 = 16^2 + b^2
400 = 256 + b^2 so that
b^2 = 400 - 256 = 144
b = √144
b = 12 miles.
