{(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)} Dom: Range: Function?

Mathematics

1 answer:

vivado [14]3 years ago

8 0

Answer:

The domain of R is {-3,-2,1,-3,0}

The range of R is: {2,1,3}

The relation R is not a function

Step-by-step explanation:

Relations and Functions

We are given the ordered pairs of a relation, let's call it R:

R={(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}

The domain of R is the set of values that relate to 1 or more elements from the range.

The domain of R is {-3,-2,1,-3,0}

The range of R is: {2,1,3}

Note the value 2 is repeated in the second set, but it's reported only once as part of the Range.

A relation is a function if each element of the domain appears in only one ordered pair, or relates to a single element in the Range.

The relation R is not a function, because the ordered pairs (-3, 2) and (-3, 1)

map the element -3 twice.

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In this problem, we can imagine that all the points connect to form a triangle. The three point or vertices are located on the pitcher mount, the home plate and where the outfielder catches the ball. So in this case we are given two sides of the triangle and the angle in between the two sides.

With the following conditions, we can use the cosine law to solve for the unknown 3rd side. The formula is:

c^2 = a^2 + b^2 – 2 a b cos θ

Where,

a = 60.5 ft

b = 195 ft

θ = 32°

Substituting the given values:

c^2 = (60.5)^2 + (195)^2 – 2 (60.5) (195) cos 32

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Therefore the outfielder throws the ball at a distance of 147.23 ft towards the home plate.

8 0

2 years ago

Please help i don’t understand this

avanturin [10]

Answer:

Step-by-step explanation:

The solution is in the attached file

3 0

2 years ago

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered wi

Mrrafil [7]

Answer:

Step-by-step explanation:

Remarks

The given angle is an exterior angle.
It's value is 46 degrees.
An exterior angle is the sum of the two remote angles. (A remote angle is one that is not supplementary to the given exterior angle.

Solution