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MrMuchimi
3 years ago
9

HELP ASAP!!!!!!!!!!!!!!!!!!!! a. 49 b. 12 c. 7 d. 1

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0
You could use the Pythagorean theorem which is a squared +b squared= c squared

you know a and c
a=24
c=25

24 squared + x squared = 25 squared
576+x squared =625
subtract 576 from both sides
x squared = 49
square root x and 49
x=7
C is the answer
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From the graph of the function, determine the domain and the range.
kiruha [24]

Hey there again! :)

This function is a piecewise function and it's different from previous question.

As you may notice, the graphs are separated and some of coordinate points are not a part of domain and range. That's why we have separate domain and range.

First, let's consider that line graph. The one that contains (-2,0) and (0,-2).

Our domain is the set of all x-values. Only (-2,0) is a closed dot. We use [ ] for closed dot and ( ) for opened dot.

Hence, the first domain is [-2,0)

Next, we find the range of line graph or line segment.

Range is the set of all y-values. Hence, the first range is (-2,0]

We are not done yet! We have to find the second domain and range, which is a curve graph.

From the curve graph, our first point starts from (0,4) and ends at (5,4)

Since (0,4) is an opened dot and (5,4) is a closed dot.

Therefore, the second domain is (0,5]

For the range, the minimum point is (3,2) and maximum point is (0,4) and (5,4). Use the y-coordinate to find range.

Hence, the second range is [2,4}

<u>G</u><u>a</u><u>t</u><u>h</u><u>e</u><u>r</u><u>i</u><u>n</u><u>g</u><u> </u><u>B</u><u>o</u><u>t</u><u>h</u><u> </u><u>D</u><u>o</u><u>m</u><u>a</u><u>i</u><u>n</u><u> </u><u>a</u><u>n</u><u>d</u><u> </u><u>R</u><u>a</u><u>n</u><u>g</u><u>e</u>

  • First Domain is [-2,0)
  • First Range is (-2,0]
  • Second Domain is (0,5]
  • Second Range is [2,4]

Combine both domains and ranges.

Hence, the domain is [-2,0] U (0,5] and the range is (-2,0] U [2,4] or The First Choice

Let me know if you have any questions!

Topic: Functions / Domain & Range

3 0
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