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Bas_tet [7]
3 years ago
12

Point D ( −1, 5 ) is reflected across the X-Axis.

Mathematics
2 answers:
liq [111]3 years ago
8 0

Answer:

The correct options are 3 and 4.

Step-by-step explanation:

Given information: Point D ( −1, 5 ) is reflected across the x-axis.

If a point reflected across x-axis, then

(x,y)\rightarrow (x,-y)

The coordinate of point D are (-1,5).

The coordinates of point D after reflection across x-axis are

D(-1,5)\rightarrow D'(-1,-5)

The x-coordinate of D' = -1

The y-coordinate of D' = -5

Therefore the correct options are 3 and 4.

loris [4]3 years ago
5 0
The X- Coordinate is -1
The Y- Coordinate is -5

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
Olegator [25]

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The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

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