The answers to the proof

Mathematics

1 answer:

Karolina [17]3 years ago

8 0

Great work! But please show more of the picture

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Given f(x) = V(3 x – 12) +2, what is the range in set notation?

Tpy6a [65]

Answer:

Step-by-step explanation:

[2,∞)

8 0

2 years ago

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Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real-world situati

mina [271]

Using the function concept, it is found that:

Graph B is a function because each value of x corresponds to exactly one y-value.

In a function, one value of the input can be related to only one value of the output.

In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).

In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.

At Graph B, for each value of x, there is only one value of y, hence it is a function.

Hence:

Graph B is a function because each value of x corresponds to exactly one y-value.

To learn more about the function concept, you can take a look at brainly.com/question/12463448

5 0

2 years ago

ABC is isosceles with AB=AC=8 units and BC=6 units. D and E are midpoints of AB and BC respectively. Calculate the length of DE?

Allushta [10]

The triangle is drawn and is shown in the image attached with.

We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.

D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:

AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units

So,

$4 :x = 8 : 6 \\ \\ 
 \frac{4}{x} = \frac{8}{6} \\ \\ 
x=4* \frac{6}{8}=3 
$

Therefore, the length of DE will be 3 units