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Please Help with math and be very detailed!! Im giving 20 points away!!! So please help

Please Help With Math And Be Very Detailed Im Giving 20 Points Away So Please Help class=
Please Help With Math And Be Very Detailed Im Giving 20 Points Away So Please Help class=

Sagot :

iGreen
Question #1:

a)

(4, 2)

Both of these are positive, and when x and y are both positive they're both in Quadrant 1.

b)

(x + 1, y - 5)

Add 1 to 'x', subtract 5 from 'y':

(4 + 1, 2 - 5)

(5, -3)

x is positive and y is negative, that means this will be in Quadrant 4.

c)

Reflection Across y-axis:

(-x, y)

Multiply -1 to 'x':

(5 * -1, -3)

(-5, -3)

Both of these are negative, if both x and y are negative it's located in Quadrant 3.

Question #2:

No, that can't tessellate a plane. We can't cover up space so there are no overlaps or gaps.
Hippalectryon
a) A(4,2) : 4>0, 2>0 hence it's in the first quadrant
b) A'(4+1,2-5)=A'(5,-3); 5>0, -3<0 hence it's in the fourth quadrant
c) A''(-5,-3) : -5<0, -3<0 hence it's in the third quadrant.

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You cannot tessellate the plane with such a figure.
Here's why :

Let's try to add a second figure to fill the empty space.
* we cannot add it that way [see the first picture attached] because we won't be able to fill the inside of the circle created
* we cannot fill it that way either [see the second picture attached]. Indeed, that would imply that we'd need to cover the space using that next figure [see the third picture attached], which ones again creates an un-fillable circle.
View image Hippalectryon
View image Hippalectryon
View image Hippalectryon
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