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3 years ago

Which quadratic equation is equivalent to (x+2)2+5(x+2)-6=0

Mathematics

1 answer:

professor190 [17]3 years ago

6 0

$(x+2)^2+5(x+2)-6=0\\\\x^2+2\cdot x\cdot2+2^2+5\cdot x+5\cdot2-6=0\\\\x^2+4x+4+5x+4-6=0\\\\x^2+9x+2=0$

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Which expression represents the volume, in cubic

muminat

Given:

The composite figure.

To find:

The volume of the given composite figure.

Solution:

Given composite figure contains a cuboid and a pyramid.

Length, breadth and height of the cuboid are 8, 6 and 4 respectively.

Volume of a cuboid is

$V_1=length\times breadth\times height$

$V_1=(8)(6)(4)$

Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.

Height of pyramid = 10 - 4 = 6

Volume of a pyramid is

$V_2=\dfrac{1}{3}\times length\times breadth\times height$

$V_2=(\dfrac{1}{3})(8)(6)(6)$

The volume of composite figure is

$V=V_1+V_2$

$V=(8)(6)(4)+(\dfrac{1}{3})(8)(6)(6)$

It can be written as

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Therefore, the correct option is A.

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