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brazilmade1
05.05.2020 •
Mathematics
Ana escribe conjuntos de cinco enteros positivos consecutivos con la siguiente propiedad: La suma de tres de los números es tan grande como la suma de los otros dos. ¿Cuántos conjuntos con esta propiedad ha escrito Ana?
Seleccione una:
a. 1
b. 2
c. 0
d. 3
e. Mas de 3
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Ответ:
a) 1.
Step-by-step explanation:
Supongamos que el primer número entero positivo es a tal que a ∈ Z⁺.
Luego, el conjunto de los cinco enteros positivos se puede expresar como
A = {a; a+1; a+2; a+3; a+4}
Dada la condición del problema, se debe cumplir que
a + (a+1) + (a+2) = (a+3) + (a+4)
⇒ 3a + 3 = 2a + 7
Resolviendo la ecuación resulta
a = 4
Luego, el conjunto A nos resulta
A = {4; 5; 6; 7; 8}
Puede concluirse que sólo un conjunto cumple con esta condición.
Ответ:
See below
Step-by-step explanation:
To find the square root of a number is the same as squaring the answer.
In this perticular example, the square root of 35 is +6 and -6.
As I said before, the square root of a number is the same as squaring the answer. That means, we square +6 and -6.
(6)²=36
(-6)²=36
It is clear that when you square 6 and -6, you get 36. This is because a positive×positive=positive, and negative×negative=positive.
That's why square root 36 equals +6 and -6.