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Anon25 [30]
10 months ago
15

Solve by factoring 6p^2 =21p-6

Mathematics
1 answer:
uysha [10]10 months ago
7 0

Given,

The expression is:

6p^2=21p-6

By using the middle term splitting method,

\begin{gathered} 6p^2-21p+6=0 \\ 2p^2-7p+2=0 \\ (x-(\frac{7+\sqrt{33}}{4}))(x+\frac{7+33}{4})=0 \end{gathered}

Hence, the factor is (x-(7+sqrt(33)/4)) (x+(7+sqrt(33)/4)).

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Why is it important to calculate the distance between two points on a cartesian coordinate plane?
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Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem,

a

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|

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−

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and

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to side d is the same as that of sides a and b to side c. We use the absolute value symbol to indicate that the length is a positive number because the absolute value of any number is positive. (For example,

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3

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=

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. ) The symbols

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x

2

−

x

1

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and

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2

−

y

1

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indicate that the lengths of the sides of the triangle are positive. To find the length c, take the square root of both sides of the Pythagorean Theorem.

c

2

=

a

2

+

b

2

→

c

=

√

a

2

+

b

2

It follows that the distance formula is given as

d

2

=

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

→

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

We do not have to use the absolute value symbols in this definition because any number squared is positive.

A GENERAL NOTE: THE DISTANCE FORMULA

Given endpoints

(

x

1

,

y

1

)

and

(

x

2

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y

2

)

, the distance between two points is given by

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

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2

Step-by-step explanation:

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<span> </span>

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