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Tju [1.3M]
3 years ago
7

Which equation is equivalent to the given equation?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0

Answer:

  D.  (x – 3)^2 = 17

Step-by-step explanation:

We assume you want an equivalent to x^2 -6x = 8.

We can complete the square by adding the square of half the x-coefficient to both sides of the equation.

  x^2 -6x +(-6/2)^2 = 8 +(-6/2)^2

  (x -3)^2 = 17 . . . . simplify

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Answer:

A. 3/20

Step-by-step explanation:

since there are 3 marbles, and 20 total marbles, you have a 3/20 chance of picking yellow

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Step-by-step explanation:

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Help ASAP please! Problem is on pictures below.
Elis [28]

Answer: figures C and D.


Explanation:


The question is which two figures have the same volume. Hence, you have to calculate the volumes of each figure until you find the two with the same volume.


1) Figure A. It is a slant cone.

Dimensions:

  • slant height, l = 6 cm
  • height, h: 5 cm
  • base area, b: 20 cm²

The volume of a slant cone is the same as the volume of a regular cone if the height and radius of both cones are the same.

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Calculations:

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2. Figure B. It is a right cylinder

Dimensions:

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  • height, h: 6 cm

Formula: V = (base area)(height) = b·h

Calculations:

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3. Figure C. It is a slant cylinder.

Dimensions:

  • base area, b: 20 cm²
  • slant height, l: 6 cm
  • height, h: 5 cm

The volume of a slant cylinder is the same as the volume of a regular cylinder if the height and radius of both cylinders are the same.

Formula: V = (base area)(height) = b·h

Calculations:

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4. Fiigure D. It is a rectangular pyramid.

Dimensions:

  • length, l: 6cm
  • base area, b: 20 cm²
  • height, h: 5 cm

Formula: V = (base area) (height) = b·h

Calculations:

  • V = 20 cm² · 5 cm = 100 cm³

→ Now,  you have found the two figures with the same volume: figure C and figure D. ←

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