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Snowcat [4.5K]
3 years ago
8

Name the point with the given coordinates (4, -2) 1: K 2:H 3:G 4:J

Mathematics
2 answers:
beks73 [17]3 years ago
6 0
H. (4,-2) is for. the origin 4 to the right and 2 down
andrew-mc [135]3 years ago
3 0

The coordinates of the point P given by (a,b) mean the point P is

at a distance |a| horizontally in the positive x-direction if a>0 and at a distance |a| horizontally in the negative x-direction if a .

Also, point P is at a distance |b| horizontally in the positive y-direction if b>0 and at a distance |b| horizontally in the negative y-direction if b .

Hence the point with coordinates (4,-2) is 4 units horizontally in the positive x-direction and 2 units vertically in the negative y-direction. So the point is is H. Correct choice is (2).

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A rectangular yard has a width that is 10 feet longer than the width . If the the area of the yard is 600 squared feet , find th
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Let l is length and b is width of a rectangular yard. The area of a rectangle is given by :

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ATQ,

Put the value of l in equation (1),

(10+b)b=600\\\\10b+b^2=600\\\\b^2+10b-600=0\\\\b^2+30b-20b-600=0\\\\b(b+30)-20(b+30)=0\\\\(b+30)(b-20)=0\\\\b=-30\ \text{feet}\ \text{and}\ b=20\ \text{feet}

Width can't be negative. The width is 20 feet.

Put the value of b is equation (2),

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Hence, the length and width are 30 feet and 20 feet.

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