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Vera_Pavlovna [14]
3 years ago
14

All four B points are equidistant from points A and C. Are they all midpoints of AC? Justify your answer.

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0

Answer:

No

Step-by-step explanation:

For a point to be the midpoint of a line segment, it must bisect it into two equal segments and be on the line segment (hence, colinear with the endpoints). All four B points are equidistant from points A and C, but aren’t colinear with A and C. Therefore, they aren’t all midpoints of line segment AC.

I hope this helps! :)

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The cells of a bacteria doubles in every 15 minutes. A scientist begins with a single cell. How many cells will be there after (
Anastaziya [24]

Step-by-step explanation:

Given that:-

  • 1 cell = 15 minutes

So, we can concert 15 minutes to hours.

So,

60 minutes = 1 hour

1 minute = 1/60

15 minutes =

\frac{15}{60}  = 0.25 \: hrs

Okay, now we will apply first for 0.4 hours.

0.25  \: hrs= 1 \: cell

1 \: hr =  \frac{1}{0.25}

0.4 \: hrs =  \frac{0.4}{0.25}

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Now, second one:-

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Hope it helps :D

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3 years ago
Solve each proportion. <br> 8/x+9=2/x-3<br> Please show work.
emmainna [20.7K]


8/x+9-(2/x-3)=0

Step by step solution :


Step 1 :

2
Simplify —
x
Equation at the end of step 1 :

8 2
(— + 9) - (— - 3) = 0
x x
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using x as the denominator :

3 3 • x
3 = — = —————
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Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2 - (3 • x) 2 - 3x
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Step 3 :

8
Simplify —
x
Equation at the end of step 3 :

8 (2 - 3x)
(— + 9) - ———————— = 0
x x
Step 4 :

Rewriting the whole as an Equivalent Fraction :

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Rewrite the whole as a fraction using x as the denominator :

9 9 • x
9 = — = —————
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Adding fractions that have a common denominator :

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Equation at the end of step 4 :

(9x + 8) (2 - 3x)
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Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

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Step 6 :

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Step 7 :

When a fraction equals zero :

7.1 When a fraction equals zero ...
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Here's how:

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The equation now takes the shape :
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7.2 Solve : 6 = 0

This equation has no solution.
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