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Pepsi [2]
4 years ago
10

On a number​ line, A is at negative 7 and B is at 3. What is the coordinate of​ C, which is two fifths of the way from A to​ B?

Mathematics
1 answer:
svetoff [14.1K]4 years ago
6 0

well, 2/5 of the distance AB is simply their product, thus 2/5 of AB is just (2/5)AB.


\bf \stackrel{A}{-7}\stackrel{\textit{7 units}}{\rule[0.35em]{17em}{0.25pt}}0\stackrel{\textit{3 units}}{\rule[0.35em]{10em}{0.25pt}}\stackrel{B}{3}
\\\\\\
AB=7+3\implies AB=10~\hspace{7em}\cfrac{2}{5}AB\implies \cfrac{2}{5}(10)\implies 4
\\\\\\
-7\rule[0.35em]{2em}{0.25pt}-6\rule[0.35em]{2em}{0.25pt}-5\rule[0.35em]{2em}{0.25pt}-4\rule[0.35em]{2em}{0.25pt}\boxed{-3}

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Help would be greatly appreciated!
eimsori [14]

b

Take a look at everything inside the brackets sqrt(50x^2) = sqrt(5*5*x*x * 2) For ever 2 factors you can bring one out and drop the other one. That means take out 5 * x * sqrt(2). Two is what is left inside the brackets. B must = 2.

c

Do the same thing here. Write all the primes under the square root. Take out 1 for every two under the root sign. sqrt(32x) = sqrt(2*2*2*2*2*x) You can bring out two 2s. There is one left over. Leave it under the root sign. The x is a loner. It stays under the root sign. c = 2 * 2 = 4.

e

Again do the prime factor thing. sqrt(18n) = sqrt(3*3*2*n) = 3*sqrt(2*n)

e = 3

g

sqrt(72*x*x) = sqrt(3 * 3* 2 * 2 * 2 * x * x) = 3 *2 * x* sqrt(2) For every 2 prime factors you can pull out 1 of them outside the square root sign. g = 6

Comment

There are many people on the net and on Brainly that will say that you should know the perfect squares from 1 to 100 (say) so 4 9 16 25 36 49 64 81 100 are the numbers that you should memorize. When they are under the root sign, their roots can be taken out as 2 3 4 5 6 7 8 9 10. For this question I think it is better to use the pairs rule I've given you above. If someone else answers they are likely to do it the way it is written up in this paragraph. It's a free country. You are free to take the answer you like best.

7 0
3 years ago
I need help 1-9 *dont mind answers*
KatRina [158]

the answer is -8, the 9 is negative and -9+1= -8

6 0
3 years ago
Read 2 more answers
The diameter of Jen’s bicycle tire is 30cm. About how many revolutions will her tire make in a 20,000 cm journey?( Use pi =3.14
Verdich [7]

Answer:

213

Step-by-step explanation:

The circumference of the wheel is given by

C=2πr=πd

Where d is diameter, r is radius and c is circumference

The number of revolutions N multiplied by circumference should yield the total distance

N*πd= Distance

Given distance of 20, 000 cm and diameter of 30 cm

30πN=20000

Making N the subject of formula

N=20000/(30π)=212.20659078919378102517835116335248271261

Rounded off, about 213 revolutions are required

3 0
3 years ago
I WILL GIVE BRAINLIEST PLEASE HELP
krok68 [10]

Answer:

15/19

Step-by-step explanation:

60/4 = 15

76/4 = 19

15/19

5 0
3 years ago
Read 2 more answers
If x is an integer and when x is divided by 5 the remainder is 2
vodomira [7]
10 is an integer
10 divided by 5 is 2
so 10 is answer
6 0
3 years ago
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