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Stella [2.4K]
3 years ago
14

What is the area of the shaded figure

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

42 square units

Step-by-step explanation:

imagine the rectangle around the original shape, it would be LxW which wold be 9 x 6 = 54. Then if you find the area of the two triangles cut out of the left and right sides, each triangle area is 1/2 base x height, which is 1/2(6x2)=1/2(12)=6 and x2 for 2 triangles and that = 12.

Now subtract 54-12=42 sq. units shaded.

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kvv77 [185]

QUESTION 1

The given inequality is  

y\leq x-3 and y\geq -x-2.

If (3,-2) is a solution; then it must satisfy both inequalities.

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If (1,4) is a solution; then it must satisfy both inequalities.

We put x=1 and y=4 in to both inequalities.

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Ans: True

QUESTION 3

The given inequality is  

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We put x=0 and y=-2 in to both inequalities.

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If (0,3) is a solution; then it must satisfy both inequalities.

We put x=0 and y=3 in to both inequalities.

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QUESTION 5

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We put x=-3 and y=0 in to both inequalities.

0\:>\:2(-3)-3 and 0\:.

0\:>\:-9;True and 0\::True

Both inequalities are satisfied, hence (-3,0) is a solution to the given system of inequality.

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