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Phantasy [73]
3 years ago
10

16

Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0

The value of x if the distance between S and T is 61 units is; 54.

The distance between two points can be evaluated as follows;

  • <em>(Distance)² = (X2 - x1)² + (y2 - y1)²</em>

In this case;

  • 61² = (x - (-6))² + (-3-8)²

  • 3721 = (x +6)² + 121

  • 3600 = (x +6)²

  • 60 = x + 6

  • x = 60 - 6

x = 54

Therefore, the value of x is; 54.

Read more:

brainly.com/question/10322563

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Methanol is a Liquid form if its temperature is between - 93.9 C and 64.96 C At what temperatures will methanol be in liquid for
alexgriva [62]

Option A : 25° C

Option C : -43° C

Option E : 0° C

Explanation:

It is given that the Methanol is in liquid form if its temperature is between -93.9°C and 64.96°C.

Let x represents the Methanol's temperature. Writing the temperature in interval notation, we have,

-93.9

Now, let us determine from the given options that the temperatures at what are all the temperatures the methanol will be in liquid form.

Option A: 25° C

It is obvious that the 25° C lies in the interval -93.9

Hence, at 25° C Methanol will be in liquid form.

Thus, Option A is the correct answer.

Option B: -95° C

We can see that the temperature -95° C does not lie in the interval -93.9

Hence, at -95° C Methanol will not be in liquid form.

Thus, Option B is not the correct answer.

Option C: -43° C

We can see that the temperature -43° C lies in the interval -93.9

Hence, at -43° C Methanol will be in liquid form.

Thus, Option C is the correct answer.

Option D: 67° C

We can see that the temperature 67° C does not lie in the interval -93.9

Hence, at 67° C Methanol will not be in liquid form.

Thus, Option D is not the correct answer.

Option E: 0° C

We can see that the temperature 0° C lies in the interval -93.9

Hence, at 0° C Methanol will be in liquid form.

Thus, Option E is the correct answer.

Option F: 89° C

We can see that the temperature 89° C does not lie in the interval -93.9

Hence, at 89° C Methanol will not be in liquid form.

Thus, Option F is not the correct answer.

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