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ale4655 [162]
3 years ago
13

can be determined as Between every pair of distinct points, there is a positive unique number called the the of the correspondin

g real numbers of the two points.
Mathematics
1 answer:
vlabodo [156]3 years ago
3 0

This question is an illustration of the distance postulate.

The complete text is: <em>Between every pair of distinct points, there is a positive unique number called the </em><em>distance</em>

<em />

<em />

Take for instance, two distinct points A and B.

The number that measures the length of A and B is called the distance between A and B.

Assume that:

  • <em>A is at point 1</em>
  • <em>B is at point 6.</em>

<em />

The positive number (i.e. the distance) between A and B would be:

d =B - A

d =6 - 1

d =5

<em>Hence, the positive unique number is called the distance (and this is supported by the distance postulate).</em>

<em />

<em />

Read more about distance postulate at:

brainly.com/question/16765541

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<img src="https://tex.z-dn.net/?f=%2832%29%5E%7B1%2F5%7D" id="TexFormula1" title="(32)^{1/5}" alt="(32)^{1/5}" align="absmiddle"
lorasvet [3.4K]

Answer:

<h2><em><u>2</u></em></h2>

Step-by-step explanation:

{32}^{ \frac{1}{5} }

=  \sqrt[5]{32}

=  \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2}

= <em><u>2</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

4 0
3 years ago
3/4<br> of the circle is shaded. What is the numerator ?
EleoNora [17]

Answer: 3

Step-by-step explanation:

The numerator in the fraction 3/4 would be on top, so that would be 3.

5 0
3 years ago
Read 2 more answers
An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled usin
GuDViN [60]

Answer:

<em>3 seconds</em>

Step-by-step explanation:

Complete question:

<em>An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds</em>

<em></em>

Given the height of an object modelled by the expression;

<em>h(t)=144-16t²</em>

The object will reach the ground when h(t) = 0

Substitute into the formula

0 = 144 - 16t²

-144 = -16t²

144 = 16t²

Swap

16t² = 144

t² = 144/16

t² = 9

Square root both sides

√t² = ±√9

t = ±3secs

<em>Since the time cannot be negative, hence the object will reach the ground 3 seconds after</em>

8 0
3 years ago
Patty can make 10 purses in 8 hours. At this rate how many purses can she make in 28 hours
Norma-Jean [14]
8 x 3 = 24 
24 + 4 = 28
Now if 10 purses are made in 8 hours, and we can see we timesed 8, 3 times, thats 10 x 3 = 30 
Now we take in to count the last 4 hours
30 + 4 = 34 
And 4 is half of 8 so if we cut 10 in half we get 5. 
So, the answer is 35
At least that's what I got :)
5 0
3 years ago
Read 2 more answers
15. In AABC if mZA is thirteen less than mzC and mZB is eleven less than four times m
vlabodo [156]

Answer:

m\angle A=21°

m\angle B=125°

m\angle C=34°

Step-by-step explanation:

Let the measure of angle C be x°.

Given:

In triangle ΔABC,

m\angle A is thirteen less than m\angle C and m\angle B is eleven less than four times m\angle C. This gives,

m\angle A = x-13

m\angle B=4x-11

Also, m\angle C=x

Now, for a triangle, the sum of all its interior angles is equal to 180°.

Therefore, m\angle A + m\angle B + m\angle C=180

Plug in all the values and solve for x. This gives,

x-13+4x-11+x=180\\6x-24=180\\6x=180+24\\6x=204\\x=\frac{204}{6}=34

Therefore, measure of angle C is 34°.

Measure of angle A is, m\angle A=x-13=34-13=21°.

Measure of angle B is, m\angle B=4x-11=4(34)-11=136-11=125°.

8 0
3 years ago
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