On this graph I'm supposed to translate DEF 3 units horizontally , where do I plot the points?

Mathematics

2 answers:

timama [110]1 year ago

5 0

Answer:

D(0,5) F(-3, -4) E(4, -3)

Step-by-step explanation:

3 units horizontally means that you should add 3 to each of the respective x coordinates. since D looks to be at (-3, 5) then you would make the new point (I'll call it D1) at D1 (-3 + 3, 5) or (0, 5). Do the same for all other points!

nikdorinn [45]1 year ago

5 0

Hey there!
When you are translating something on a graph, things can get complicated. I'm here to help!

Translating 3 points horizontally means that every point on this triangle stated in this graph moves 3 points to the left or right, since horizontal means that. The problem doesn't reiterate whether a direction is included, so let's just worry about the right.

Moving 3 points to the right means that the x coordinate of the points gain 3.
D-> (-3, 5) -> Add 3 to the x coordinate -> D' -> (0, 5)
E-> (1, -3) -> Add 3 to the x coordinate -> E' -> (4, -3)
F-> (-6, -4) -> Add 3 to the x coordinate -> F' -> (-3, -4)

Note that the y-coordinate of the points remain unchanged and the altered translated points are labelled with the prime symbol, shown as ' which means that they are translated from the original graph.

Attached is the image that you should be getting when finished with your translations.

Hope this helped!

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Roberto rowed 20 miles downstream in 2.5 hours. The trip back, however, took him 5 hours. Find the rate that Roberto rows in sti

almond37 [142]

Answer:

Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour

Step-by-step explanation:

Relative Speed

When a body is moving at a constant speed v, the distance traveled in a time t is:

$d=v.t$

When Roberto rows downstream, his speed in still water is added to the speed of the water, making it easier to travel the required distance.

When Roberto rows upstream, his speed in still water is affected by the speed of the water, both are subtracted and the required distance is covered in more time.

Let's call

x = Roberto's rowing speed in still water

y = Speed of the river current

The speed when rowing downstream is x+y, thus the distance traveled is

$d=(x+y).t_1$