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Vladimir79 [104]
3 years ago
6

Twenty-five lamps are placed around a circle-shaped garden. How many straight lines could be found if each lamp is connected to

all the rest ?
Mathematics
1 answer:
astraxan [27]3 years ago
8 0

Answer:

300

Step-by-step explanation:

every lamp can connect other lamps ,from the first ,it can connect the other 24 lamps,and then, the second ,can also connect other 24 。but the line between the first and the second is counted twice。

so it would be:

(1+2+3+...+24)×24÷2=300

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Factor completely<br> 6n2 – 11n – 10
Pepsi [2]

Step-1 : Multiply the coefficient of the first term by the constant   6 • -10 = -60

Step-2 : Find two factors of  -60  whose sum equals the coefficient of the middle term, which is   -11 .

     -60    +    1    =    -59

     -30    +    2    =    -28

     -20    +    3    =    -17

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Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  4

                    6n2 - 15n + 4n - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

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             Add up the last 2 terms, pulling out common factors :

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Step-5 : Add up the four terms of step 4 :

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the first statement is True:    2(10) - 5(5) = -5

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the second statement if False:    10 + 2(5) ≠ 11

the third statement is True

the last statement is False

8 0
3 years ago
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