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mr_godi [17]
2 years ago
8

If you dig a 6 ft hole how deep is that hole

Mathematics
1 answer:
7nadin3 [17]2 years ago
7 0

Answer:

about 20 ft

Step-by-step explanation:

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Prove that if r is any rational number, then 3r2 − 2r + 4 is rational. The following properties may be used in your proof. Prope
ziro4ka [17]

Given:

Expression is

3r^2-2r+4

To prove:

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Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.  

Let r be any rational number.

We have,

3r^2-2r+4

It can be written as

3(r\times r)-2r+4

Now,

3, -2 and 4 are rational numbers by property 1.

r^2=r\times r is rational by Property 3.

3r^2\text{ and }-2r are rational by Property 3.

3r^2+(-2r)+4 is rational by property 2.

So, 3r^2-2r+4 is rational.

Hence proved.

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3 years ago
Triangles A B C and E D C are shown. Triangle A B C is rotated about point C to form triangle E D C. Which rigid transformation
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Step-by-step explanation:

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If n lines are drawn in a plane, how many regions do they separate the plane into? induction
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Hello,

Let's assume i the number of lines,
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...\\\\
\boxed{u_{n+1}=(n+1)+u_{n}}\\\\

u_{n+1}=(n+1)+n+(n-1)+...+1+u_0\\\\

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