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ipn [44]
3 years ago
13

Which expression represents the volume of the prism?

Mathematics
2 answers:
Tamiku [17]3 years ago
7 0

Answer:

x³-2x²  = x2(x – 2) cubic units

Step-by-step explanation:

The volume of a prism is found by multiplying the base area by the height. The base area is a parallelogram and so the area is x*(x-2) = x² -2x.

Multiply this area by the height x.

V = x(x² - 2x) = x³-2x²

This is the same as x2(x – 2) cubic units.

Otrada [13]3 years ago
3 0

Answer: C. x∧2(x – 2) cubic units

Just took test.

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makkiz [27]

Mistake in Line 2 : Was in the determining the values for a ,b,c

Mistake in Line 4 : Not taking the square roots of both sides.

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

First Mistake : Line 2

a = x \\ b = 6 \\ c = 10

Second Mistake : Line 4

136 =  {x}^{2}  \\ not \\ 136 = x

Correct Solution :

{x}^{2}  +  {6}^{2}  =  {10}^{2}  \\  {x}^{2}  =  {10}^{2}  -  {6}^{2}  \\  {x}^{2}  = 100 - 36 \\

{x}^{2}  = 64 \\  \sqrt{ {x}^{2} }  =  \sqrt{64}  \\ x = 6

3 0
3 years ago
Chose the graph that represents the equation y=|x-4|
evablogger [386]
You have not shared the graphs from which you have to choose your answer.

Why not graph y=|x-4| yourself, to help you choose the correct answer?

First, graph y=|x|.  It looks like a "v" opening up, with the vertex at (0,0).
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6 0
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3 years ago
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Show that the two triangles ABC and DEF are congruent by the<br> HL theorem.
inna [77]

Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.

The Hypotenuse-Leg theorem states that two <em>right</em> triangles are <em>congruent</em> if and only if their hypotenuses and any of their <em>corresponding</em> legs are <em>congruent</em>. That is to say:

\overline {AC} \cong \overline {DF}, \overline{BC} \cong \overline {EF}

AC = DF, BC = EF

\sqrt{AB^{2}+BC^{2}} = \sqrt{DE^{2}+EF^{2}}, BC = EF

If we know that AB = 10, BC = 4, DE = 10 and EF = 4, then we have the following outcomes:

\sqrt{10^{2}+4^{2}} = \sqrt{10^{2}+4^{2}}

4 = 4

Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.

We kindly invite to check this question on triangles: brainly.com/question/21972776

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