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forsale [732]
3 years ago
12

A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch which he cannot use. He divides his usable space in

to four congruent rectangular patches, each of which measures
Mathematics
1 answer:
ra1l [238]3 years ago
8 0

Answer:

4m X 6m

Step-by-step explanation:

This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

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Given a line segment with endpoints A(16, 8) and B(1, 3) what are the coordinates of the
blondinia [14]

Answer:

The line segment partitioned two-fifths from A to B is (10,6)

Step-by-step explanation:

First point from A to B is (16,8)

than find the difference between A to B i.e B - A

(1,3)-(16,8) = (-15,-5)

To measure the (2/5) difference we will multiply (-15,-5) with  (2/5) which is equal to (-6,-2)

Now Add the difference to the first coordinate (point A) gives

Point of division = (16,8)+(-6,-2)

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Point of division = (10,6)

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What do the following two equations represent?<br> -4x-4y = -5 <br> 12x+12y = 112x
7nadin3 [17]

Answer:

These two lines are parallel and system of these equations have no solution

Step-by-step explanation:

Parallel Lines: Lines having same slope and different x and y intercept are parallel lines. System of such equations does not have any solution as these lines does not intersect at any finite points.

Standard form of line is y=mx+c where m is slope and c is y-intercept.

First Line:

-4x-4y=-5\\\\-4y=-5+4x\\\\Divide\ both\ sides\ by\ -4\\\\y=-x+\frac{5}{4}\\\\compare\ with\ y=mx+c\\\\slope=-1,\ c=\frac{5}{4}

Second Line:

12x+12y=112\\\\12y=112+-12x\\\\Divide\ both\ sides\ by\ 12\\\\y=-x+\frac{12}{112}\\\\compare\ with\ y=mx+c\\\\slope=-1,\ c=\frac{12}{112}

Hence these two lines are parallel and system of these equations have no solution

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