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tamaranim1 [39]
3 years ago
10

What is the reflection image of (5, -3) across the line y = -x?

Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer:

The point (5,-3) reflection image across the line y=-x is (3,-5).

Step-by-step explanation:

Given : Point (5,-3)    

To find : The reflection image of given point  across the line y=-x?

Solution :        

The reflection across the line  y=-x is when both the coordinated changes its sign and position.

i.e, (x,y) across y=-x line became (-y,-x)    

So, The point (5,3) reflection image across the line y=-x is (3,-5).

Refer the attached figure below to see the reflection.

Therefore, (5,-3)→(3,-5)

Snowcat [4.5K]3 years ago
5 0
<span> Over the y-axis </span> <span>(x, y) → (−x, y) so ( -5, -3)</span>
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y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order DE y'' + 25y = 0. If possible, find a sol
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Answer:

y = 2cos5x-9/5sin5x

Step-by-step explanation:

Given the solution to the differential equation y'' + 25y = 0 to be

y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.

According to the boundary condition y(0) = 2, it means when x = 0, y = 2

On substituting;

2 = c1cos(5(0)) + c2sin(5(0))

2 = c1cos0+c2sin0

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Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given

y(x) = c1cos5x + c2sin5x

y'(x) = -5c1sin5x + 5c2cos5x

If y'(π) = 9, this means when x = π, y'(x) = 9

On substituting;

9 = -5c1sin5π + 5c2cos5π

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9 = 0-5c2

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c2 = -9/5

Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation

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y = 2cos5x-9/5sin5x

The final expression gives the required solution to the differential equation.

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Brrunno [24]

Answer:

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Step-by-step explanation:

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While traveling to the office, dolly drives her car at a speed of 60 kmph and then suddenly the car stopped on half of her dista
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The average speed of Dolly is 33.33kmph.

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The average speed is defined as the total distance travelled by the object in a particular interval of time. It can be calculated by dividing the total distance travelled by the total time taken.

So, Average Speed = total distance / total time

Here,

Let the total distance is 100 km.

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