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trapecia [35]
3 years ago
5

Three points, A, B, and C exists in space such that B is "between" A and C. It is known that AB=7, BC=4, and AC=9. Are points A,

B, and C collinear? Give a written explanation, supported by mathematical evidence, for your answer.
Mathematics
2 answers:
sergeinik [125]3 years ago
7 0
If the points are collinear, then that means they lie on the same line when connected to each other. In order to prove this, the distances between the points must sum up to the length of the line.

AB + BC = AC
7 + 4 ? 9
11 ≠ 9

Since they do not sum up, therefore, the points are not collinear.
garri49 [273]3 years ago
7 0
Collinear means they lie on the same line when connected to each other. In order for you to prove this, the distances between the points have to add up to the length of the line.

AB + BC = AC

7 + 4 ? 9

11 ≠ 9

<span>So since they don't add up, the points are not collinear.</span>
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This year a small business had a total revenue of 48,300 if this is 38% more than their total revenue the previous year what was
riadik2000 [5.3K]

Answer:

$48,300  

100 + 38% = 138% or 1.38

$48,300 / 1.38 = $35,000

Check:

$35,000 * 1.38 = $48,300  

$35,000 * .38 = $13,300 (raise) + salary $35,000 =  $48,300

Step-by-step explanation:

5 0
3 years ago
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How does a tree have self similarity?
ankoles [38]
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3 years ago
Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.
Sphinxa [80]

Answer: (r-s)^{2} = 28

Step-by-step explanation:

  • x^{2} -6x+9=-2+9
  • (x-3)^{2}=7
  • (x-3)= -\sqrt{7} or \sqrt{7} <-- there's no plus/minus sign.
  • (x-3) = -\sqrt{7}
  • x = 3 -\sqrt{7} <-- root.
  • (x-3) = \sqrt{7}
  • x = 3+\sqrt{7} <-- root.
  • [(3-\sqrt{7})-(3+\sqrt{7})]^{2}
  • (3-\sqrt{7} -3 - \sqrt{7})^{2} <-- don't forget to distribute the negative.
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  • 28
4 0
2 years ago
Compare the theoretical probability to the experimental probability of landing on H.
cestrela7 [59]

The correct statement comparing the theoretical and experimental probabilities is given as follows:

\frac{1}{4} < \frac{7}{25}.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

The theoretical probability is taken before any experiment. Since the four sections are equal, the theoretical probability is:

T(H) = 1/4.

The experimental probability is taken considering previous experiments. Out of 100 tosses, 28 landed on H, hence:

E(H) = 28/100 = 7/25.

Hence the correct statement is:

\frac{1}{4} < \frac{7}{25}.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

4 0
1 year ago
Show that: (p¼- q¼)(p¼ + q¼)(√P+√q)= p-q.​
Irina18 [472]

Answer:

Step-by-step explanation:

let p¼ = a, q¼ = b

L.H.S. = (a - b)(a + b)(a² + b²) = (a² - b²)(a² + b²) = (a²)² - (b²)² = p - q = R.H.S.

3 0
1 year ago
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