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andre [41]
3 years ago
13

The set of ordered pairs (-1,8), (0, 3), (1, -2), and (2-7) represent a function. What is the range of the function?

Mathematics
1 answer:
Rama09 [41]3 years ago
4 0

Answer:

Range is given by the second option: y={-7,-2,3,8}.

Step-by-step explanation:

Range is the set of possible y values in a given function.

Here, the function is defined by the following ordered pairs:

(-1,8),(0,3),(1,-2),(2,-7)

The y values of the function are y={-7,-2,3,8}

Therefore, the range is given as y={-7,-2,3,8}.

So, the second option is correct.

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3. What is the exact area of triangle ABC? Use special right triangles to help find the base of the triangle. Show your work.
Oduvanchick [21]

The exact area of triangle ABC is 93.51 cm².

The given parameters;

  • <em>Height of the triangle, h = 18 cm</em>

The base of the triangle is calculated by using trigonometry ratio as follows;

tan (30) = \frac{b}{18} \\\\

where;

  • <em>b </em><em>is the </em><em>base </em><em>of the </em><em>triangle ABC</em>

<em></em>

<em></em>b = 18 \times tan(30)\\\\b = 10.39 \ cm<em></em>

The area of the triangle ABC  with the calculated base and given height is calculated as follows;

A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2

Thus, the exact area of triangle ABC is 93.51 cm².

Learn more about area of a triangle here: brainly.com/question/23945265

3 0
2 years ago
Y = 6x − 4
Kamila [148]

Answer:

Part B: \displaystyle [1, 2]

Part A: Set both equation equal to each other by Substitution, since our <em>y-values</em> are already given to us.

Step-by-step explanation:

6x - 4 = 5x - 3

- 6x + 3 - 6x + 3

____________

\displaystyle -1 = -x; 1 = x

Plug this coordinate back into the above equations to get the <em>y-coordinate</em><em> </em>of 2.

<em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em> </em>[where<em> </em><em>b</em><em> </em>is the y-intercept and the rate of change (slope) is represented by <em>m</em>]

\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m

I am joyous to assist you at any time.

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