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IrinaK [193]
3 years ago
8

Given the points: O (0,0), A(0,4), B (3,0), C(-4,0), and D (0,y). Find two values of y so that ΔOBA ≅ ΔODC. (Hint: make sure you

draw a picture) List them in order from smallest to largest.
Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

Answer: -3 and 3

Step-by-step explanation: You first find the area of OBA which is 6, then you plot points that make a triangle that is congurent to 6. I fond that since there was a length of 4 in both, I simply went up three on the y-axis and down three on the y-axis. Sorry for the bad explanation but this is all I knew.

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Answer:

4. The range is -2 ≤ y ≤ 4

5. The domain is {-2 , -1 , 0 , 3.5 , 4.2}

6. The relation is not a function

Step-by-step explanation:

* Lets explain how to solve the problem

# Question 4:

- The range of the function is the values of all y (output) which is

 corresponding to the values of all x (input)

- The figure is a stare, the values of x is from -4 to 4

∴ The domain is -4 ≤ x ≤ 4

- The corresponding values of y are from -2 to 4

∴The range is -2 ≤ y ≤ 4

# Question 5:

- The table represent a relation between x and y

- x is the input of the relation

- y is the output of the relation

∵ The input of the relation is called the domain of it

∴ The domain of the relation is all values of x in the table

- the values of x are -2 , -1 , 0 , 3.5 , 4.2

∴ The domain is {-2 , -1 , 0 , 3.5 , 4.2}

# Question 6:

- The relation can be a function if each ordered pair has a

  unique value of x (input)

- That means every x (input) has only one y (output)

- Ex : The relation {(a , b) , (c , d) , (a , f)} is not a function because

 the input a has two output b and f

∵ The relation is {(-4 , 0) , (-3 , 0) , (-2 , 1) , (1 , -2) , (-3 , 4)}

∵ The x = -3 has two values of y 0 and 4

∴ The relation is not a function

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