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aev [14]
1 year ago
8

Can someone help me please!!

Mathematics
1 answer:
ratelena [41]1 year ago
8 0

The coordinates of E are (5.75, 0).

<h3>What is midpoint?</h3>

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Given that, C is the midpoint of AB, D is the midpoint of CB and E is the midpoint of DB.

Formula for coordinates of midpoint,

(x, y) = [(x1+x2)/2, (y1+y2)/2]

Coordinates of C;

(x, y) = (-10+8)/2, (14-2)/2

(x, y) = (-1, 6)

Coordinates of D;

(x, y) = (-1+8)/2, (6-2)/2

(x, y) = (3.5, 2)

Coordinates of E;

(x, y) = (3.5+8)/2, (2-2)/2

(x, y) =  (5.75, 0)

Hence, The coordinates of E are (5.75, 0).

For more references on midpoints, click;

brainly.com/question/28224145

#SPJ1

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A 6-foot-wide hallway is painted as shown, using equal amounts of white and black paint.
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so

To know the amount of white paint------> calculate the area of white paint

A=5x*6=30x\ ft^{2}

To know the amount of black paint------> calculate the area of black paint

A=(x+1)*4*6=(24+24x)\ ft^{2}

equate the areas

30x=(24+24x)\\30x-24x=24\\6x=24\\x=4\ ft

<u>Find the length of the hallway</u>

5x+(4x+4)=9x+4=9*4+4=40\ ft

therefore

<u>the answer part a) is</u>

The hallway is 40\ ft long

<u>Part b) </u>Can this same hallway be painted with the same pattern, but using twice as much black paint as white paint?

we know that

the amount of white paint is 30x\ ft^{2}

if the black paint is twice that the white paint

then

amount of black paint is 2*30x=60x\ ft^{2}

amount of black paint with the same pattern is (24+24x)\ ft^{2}

equate

(24+24x)\ ft^{2}=(60x)\ ft^{2}

solve for the new value of x

24x+24=60x\\ 60x-24x=24\\ x=24/36\\x= 2/3\ ft

<u>Find the new length of the hallway</u>

5x+(4x+4)=9x+4=9*(2/3)+4=10\ ft

therefore

<u>the answer is</u>

Yes, the same hallway can be painted with the same pattern, using twice as much black paint as white paint, but the hallway decreases in length

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