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Lana71 [14]
3 years ago
5

Evaluate the following expression when x = 6 and y = 2:

Mathematics
1 answer:
Liula [17]3 years ago
5 0

Answer:

11/2

Step-by-step explanation:

\frac{ {x}^{2} +  {y}^{3}  }{2 + x}  \\

when,

x = 6 \\ y = 2

Now substitute the value we get,

\frac{ {6}^{2}  +  {2}^{3} }{2 + 6} \\  \\  =  \frac{36 + 8}{8}   \\  \\  =  \frac{44}{8} \\  \\  =  \frac{11}{2}

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40 POINTS!!!! Which sequence of transformations will result in an image that maps onto itself?
White raven [17]

Answer:

Option C.

Step-by-step explanation:

Let a point (x, y) has a sequence of transformations,

Option A).

Reflects across x-axis then the coordinates will be,

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Then reflects across the y-axis,

(x, -y) → (-x, -y)

Image (x, y) gets changed to (-x, -y) therefore, point (x, y) doesn't map onto itself.

Option B).

(x, y) rotate 90° counter clockwise about the origin.

(x, y) → (-y, x)

Then reflect across x-axis,

(-y, x) → (y, x)

Since coordinates of the image and the actual are not same therefore, image doesn't map itself.

Option C).

(x, y) when reflected across x-axis,

(x, y) → (x, -y)

Then reflected over the x-axis,

(x, -y) → (x, y)

In this option point (x, y) maps onto itself after these transformations.

Option D).

(x, y) rotated 90°counterclockwise about the origin

(x, y) → (-y, x)

Then translated up by 2 units.

(-y, x) → (-y, x+2)

Therefore, (x, y) gets changed after these transformations and doesn't maps itself.

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trick for remembering zero slope vs undefined: if the zero is UNDEr it is UNDEfined- this makes more sense if you say it out loud ;)

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