As raízes da equação x² -14x + 48 = 0 expressam, em centímetros, as medidas dos catetos de um triângulo retângulo. Determine a medida da hipotenusa e o perímetro desse triângulo.

hipotenusa: 10

perímetro: 24

Step-by-step explanation:

tira as raízes pela fórmula de baskara ( n lembro como escreve), descobre a hipotenusa pela fórmula de pitágoras e soma os valores de X mais o resultado da fórmula de pitágoras para obter o perímetro

where are the choices?

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.