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Eduardwww [97]
3 years ago
8

Nichole needs to spend at least four hours each week practicing the guitar

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

Answer:

two and one third + 2x ≥ 4

Step-by-step explanation:

From the information given:

The number of hours Nicole already practiced with  = 2 \dfrac{1}{3}

However, she wants to further her practice for 2 days and make sure that each day equal each other

Let consider y be the hours she practiced each day

Then, the number of hours she will practice in two days will be 2y

Thus, the total number of hours she practiced can be computed as

= 2 \dfrac{1}{3}+2

Suppose Nicole desire to practiced for at least 4 hours,

Then,

2 \dfrac{1}{3}+2 \ge 4

Therefore, the required inequality to determine the  minimum number of hours she needs to practice on each of the 2 days suppose she practiced for at least 4 hours a day is:

two and one third + 2x ≥ 4    i.e. 2 \dfrac{1}{3}+2 \ge 4

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Why is it important to calculate the distance between two points on a cartesian coordinate plane?
Gwar [14]

Answer:

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem,

a

2

+

b

2

=

c

2

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|

x

2

−

x

1

|

and

|

y

2

−

y

1

|

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,

|

−

3

|

=

3

. ) The symbols

|

x

2

−

x

1

|

and

|

y

2

−

y

1

|

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

,

y

2

)

, the distance between two points is given by

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Step-by-step explanation:

4 0
3 years ago
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