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Gnesinka [82]
3 years ago
12

A rectangle with the vertices (3, -2), (3, -4), (7, -2), (7, -4) is reflected across the x-axis and the rotated 90 degrees count

er clockwise
Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:

The new vertices are: (-2,3),(-4,3),(-2,7),(-4,7)

Step-by-step explanation:

The given vertices are (3,-2),(3,-4),(7,-2),(7,-4)

Rule for reflection about x axis is (x,y)→(x,-y).

So, (3,-2)→(3,2)

     (3,-4)→(3,4)

     (7,-2)→(7,2)

     (7,-4)→(7,4)

Now, new vertices after reflection about x axis are (3,2),(3,4),(7,2),(7,4).

Rule for 90 degree rotation counter-clockwise is (x,y)→(-y,x).

So, (3,2)→(-2,3)

     (3,4)→(-4,3)

     (7,2)→(-2,7)

     (7,4)→(-4,7)

Therefore, the new rectangle after reflection about x axis and rotated 90 degrees counter-clockwise has the following vertices:

(-2,3),(-4,3),(-2,7),(-4,7)

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Vesna [10]

Answer:

We can use linear system of equation with one variable.

Step-by-step explanation:

It is given that,Nina is 10 years younger than Deepak.

Deepak is 3 times as old as Nina.

<u>To solve this using linear equation</u>

Let d be the age of Deepak and n be the age of NIna

we can write,

n = (d - 10)   ---(1)

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2d = 30

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3 0
3 years ago
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A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t
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Full Question

A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass—spring system is disturbed from its rest state by the force F (t) = 20 cos(8t). The force F (t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.

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Answer:

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Step-by-step explanation:

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9 x 8= 72, so the answer would be:


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