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3 years ago

2. The volume of both of these trapezoidal prisms is 24 cubic units. Their

Mathematics

1 answer:

Valentin [98]3 years ago

4 0

Answer:

area of a trapezoidal base of each prism with heights 6 and 8 units are 4 square units and 3 square units respectively

Step-by-step explanation:

Let us first be aware of formula of volume for any regular geometrical figure.

Fundamental formula for volume for any regular geometrical figure is.

volume = area of cross section of object* height of object (A)

In the problem stated area of cross section of object will be area of a trapezoidal base.

Given in the question is

Volume of both the trapezoidal prisms = 24 cubic units

*************************************************************************************

For prism with height 6 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 6 * area of a trapezoidal base

=> area of a trapezoidal base = 24/6 = 4 square units

*************************************************************************************

For prism with height 8 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 8 * area of a trapezoidal base

=> area of a trapezoidal base = 24/8 = 3 square units

*************************************************************************************

Therefore area of a trapezoidal base of each prism with heights 6 and 8 units are 4 square units and 3 square units respectively.

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Travka [436]

Step-by-step explanation:

y = 16x²

you put the x values one after the other in place of x and do the calculations.

x = -4

y = 16×(-4)² = 16×16 = 256

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x = -2.5

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x = -1.5

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x = -1

y = 16×(-1)² = 16×1 = 16

x = -0.5

y = 16×(-0.5)² = 16×0.25 = 4

x = 0

y = 16×0² = 16×0 = 0

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x = 1

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and so on.

36, 64, 100, 144, 256

as you can see, the y values are the same for the positive and the negative values.

because squaring a negative number is the same as squaring the same positive number. that is, because (if you remember) squaring something means to multiply that something with itself. and minus multiplied by minus is plus, as plus multiplied by plus is plus.

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2 years ago

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. An algebra tile configur

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Answer:

$f(x)=(x-1)^2-7$

Step-by-step explanation:

Standard form:

$f(x)=x^2-2x-6$

Vertex form:

$y=(x-h)^2+k$

(h, k) is the vertex

x is the coordinate of the vertex

To find x use the formula:

$x=\frac{-h}{2a}$

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a=1

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Substitute:

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Substitute x in equation:

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h=1

k=-7

Substitute h, and k into the vertex formula:

$f(x)=(x-1)^2-7$

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