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3 years ago

For the rectangle find the coordinates of p without using any new variable

Mathematics

2 answers:

neonofarm [45]3 years ago

7 0

Answer: The correct option is (2) (a, b).

Step-by-step explanation: We are given to find the co-ordinates of the point 'P' for the rectangle shown in the figure without using any new variable.

Since we are dealing with a rectangle, so each of its angle is a right angle. Hence, each side of the given rectangle is perpendicular to its adjacent side.

Also, the distance of a point from a line is the length of the perpendicular drawn from the point to the line.

So, we can see from the attached figure below that

Point 'P is at a distance of 'b' units from X-axis and 'a' units from Y-axis.

The distance of a point 'P' from Y-axis is its x co-ordinate the distance of 'P' from X-axis is its y co-ordinate.

Therefore, the co-ordinates of the point P will be

(distance of P from Y-axis, distance of P from X-axis)

= (a, b).

Thus, the correct option is (2) (a, b).

vazorg [7]3 years ago

4 0

Answer:

its a b beoucse if you look close to it they are the only ones on there it would be diffenert if there was more letters then just them too

Step-by-step explanation:

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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]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

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"

The total distance travelled by the train across the bridge is given by:

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

Therefore, the speed is given as:

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

The total distance travelled by the train through the tunnel is given by:

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

The time taken is given as 90 seconds

Therefore, the speed is given as:

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

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

Find the speed of train:

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

Thus speed of train is 25 meter per second

5 0

3 years ago

Fatima evaluated the expression when m = -2 and n = 4. Her work is shown below.

Kruka [31]

Answer:

The answer to your question is: third option is correct.

Step-by-step explanation:

The third option is correct

4(-2)⁻²(4)⁻³

$\frac{4}{(2)^{2}(4)^{3}}}$

4 0

3 years ago

Read 2 more answers

How do you write 18 tens in standard form

Liula [17]

1800 because the 18 cant fit in the tens

7 0

3 years ago

An empty 6-gal water jug weighs 0.5 lb. With 3 c of water inside, the jug weighs 2 lb. Which equation models the jug’s weight y

nikdorinn [45]

The slope would be 2/3 because that would leave pounds when multiplied by cups.

add 0.5 for the weight of the water jug

y = (2/3)x + 0.5

3 0

3 years ago

A spinner has sections labeled W W , X X , Y Y , and Z Z . The faces of a number cube are labeled 1, 2, 3, 4, 5, and 6. What is

Kisachek [45]

Total number of sections on the spinner = 4
So there can be 4 outcomes on 1 spin of the arrow on the arrow.

Number of faces of the cube = 6
So there can be 6 outcomes on rolling of the dice.

For each outcome of the spinner, there can be 6 outcomes of rolling a dice. So for 4 outcomes of the spinner, there will be 6 x 4 = 24 outcomes in total.

For example, WW and either of {1,2,3,4,5,6} can occur. This makes folloiwng 6 outcomes: WW1, WW2, WW3, WW4, WW5 and WW6

Same goes for XX (6 outcomes), YY (6 outcomes) and ZZ (6 outcomes)

Thus in total there will be 24 outcomes.
So option j gives the correct answer

7 0

3 years ago