Jacinto está cercando un terreno de forma rectangular. Cuando lleva puesto alambre a dos lados consecutivos de la tierra, se da cuenta que ha gastado 170 m de alambre. Si sabe que la diagonal del rectángulo mide 130 m, ¿cuáles son las dimensiones y el área del terreno?

Step-by-step explanation:

Given the perimeter of the rectangular shape = 170m

Length of the diagonal = 130m

Perimeter = 2L + 2W

diagonal d² = L² + w²

L is the length of the terrain

w is the width

140 = 2L + 2W

70 = L+W 1

130² = L²+w² 2

from 1, L = 70-w

substitute into 2;

130² = (70-w)²+w²

130² = 4900-140w + 2w²

16900 = 4900-140w + 2w²

2w²-140w - 12000 = 0

w²-70w - 6000 = 0

On factorizing;

(w+50)(w−120) = 0

w - 120 = 0

w = 120 m

Since L = 70 - w

L = 70 - 120

L = -50m

Hence the dimension is 120m by 50 m

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )