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3 years ago

Find the missing number so that the equation has no solutions. x + 6 = -x - 16 + 6x

Mathematics

2 answers:

otez555 [7]3 years ago

4 0

Answer:

$x + 6 = - x - 16 + 6x \\ x + x - 6x = - 16 - 6 \\ - 4x = - 22 \\ 4x = 22 \\ x = 22 \div 4 = 11 \div 2 = 5.5$

olga nikolaevna [1]3 years ago

3 0

Answer:

$x + 6 = - x - 16 + 6x \\ x \: terms \: togather \\ x + x - 6x = - 16 - 6 \\ - 4x = - 22 \\ x = \frac{ - 22}{ - 4} \\ x = 5.5 \\ thank \: you$

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aleksandrvk [35]

Answer:

The effect it will have on the volume is;

The volume will be 8 times larger

Step-by-step explanation:

The dimensions of the given prism are;

The length of the prism, l = 5 in.

The breadth of the prism, b = 5 in.

The slant height of the prism, = 4 in. by 5 in.

The height of the prism, h = 7 in.

The shape of the prism = Parallelepiped

The volume of a parallelepiped = Area of Base × Height of the prism

The base area of the parallelepiped = The length × Breadth of the parallelepiped

∴ The base area of the given parallelepiped = 5 in. × 5 in. = 25 in.²

The volume of the given parallelepiped, V₁ is found as follows;

V₁ = 5 in. × 5 in. × 7 in. = 25 in.² × 7 in. = 175 in.³

When a scale factor of 2 in applied to the dimensions of the prism, we have;

The new volume, V₂ = 2 × 5 in. × 2 × 5 in. × 2 × 7 in.

∴ V₂ = 2 × 2 × 2 × 5 in. × 5 in. × 7 in. = 8 × 5 in. × 5 in. × 7 in. = 8 × V₁

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V₂ = 8 × V₁

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