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Kipish [7]
3 years ago
5

The area of the rectangle on the bottom of this stack is 6 cm2 and the height of the stack is 3 cm. What is the volume of this r

ectangular prism, in cubic centimetres?
Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Answer:

18cm^3

Step-by-step explanation:

volume of a rectangular prism = area of base x height

6cm² x 3cm = 18cm³

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Find the zeros of the function y = x^2-1.
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Answer:

Step-by-step explanation:

x^2-1=0

Add  1 to both sides of the equation.

x^2= 1

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x = ± √ 1

Any root of  1  is  x = ± 1

First, use the positive value of the  ±

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x= 1

Next, use the negative value of the  ±

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The number y, decreased by 12
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Discussion

1. Put brackets around the first two terms

y = (-x^2 + 6x) + 5

2. Take out the common factor of -1

y = -(x^2 - 6x) + 5

3. Inside the brackets, take 1/2 of - 6 and square it

y = -(x^2 - 6x + ( - 6 / 2)^2 )  + 5

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Note: Step 3 is very long. Make sure you work your way through it

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y = - (x^2 - 6x + 9) + 5 + 9

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The equation is now in vertex form. The minus tells you that the equation is a maximum. The maximum is located at ( - 3, 14 )

A graph follows to show the results.

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