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2 years ago

A line segment has an endpoint at (-4,8) and a midpoint

Mathematics

1 answer:

grin007 [14]2 years ago

7 0

Answer:

The coordinates of the midpoints are the average coordinates of the endpoints. Suppose (x1,y1) and (x2,y2) are the endpoints and (xm,ym) is the midpoint, we have xm=x1+x22 and ym=y1+y22 . Therefore, 2xm=x1+x2 and 2ym=y1+y2 . From there, we should be able to figure the other endpoint out given an endpoint and the midpoint.

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A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning

zvonat [6]

Answer: $46x^2+73x+15$

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

$A=lw$

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are $(6x+7)$ by $(8x+5)$ , its area is:

$A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35$

As they are planning that the dimensions of the mural be $(x+4)$ by $(2x+5)$ , its area is:

$A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20$

Then the area of the remaining wall after the mural has been painted is:

$A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15$

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4 years ago

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nlexa [21]

Answer:

Step-by-step explanation:

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Yuki888 [10]

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Step-by-step explanation:

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sleet_krkn [62]

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