A fair coin is tossed 3 times in a row What is the probability that heads appears on only the last toss

Amy pays $25 to enter a state fair, plus $3 for each ride. Which of the following equations represents her total cost?

ella [17]

Y = 3x + 25 <== ur equation

7 0

3 years ago

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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

, is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse. The relationship of sides

|

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

Which set or ordered pairs represents y as a unction Or X!

Zepler [3.9K]

A relation is said to be a function when every element in the domain has one and only one distinct image in the co- domain.

In the first three options , one single element in domain has more than one image.

(-2,3), (-2, 2), (-2, 1), (-2, 0)

here -2 as an element in the domain has 3,2,1,0 has image-----> so not a function

(10, 15), (5, 1), (10, 6), (6, 10)

Here 10 , an element in the domain has 15,6 as image-----> so not a function

(-11, 2), (3,8), (3, 2), (2, 2)

Here 3, as an element in the domain has 8 and 2 as image-----> so not a function

So, OPTION D

(1,6), (2, 5), (10, 5), (-17, 8)

7 0

2 years ago

Which is the correct possessive form of the underlined word?

ser-zykov [4K]

B. a butterflys' wings

7 0

3 years ago

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A+ -12= 45 6th grade

Dmitry_Shevchenko [17]

A = 57
45 + 12 = 57
57 - (-12) = 45

8 0

3 years ago