Let x---------------> distance from people living to the city center
we Know that Zone 1 covers people living within three miles of the city center Zone 1 ------------> [x < 3 miles]
Zone 2 covers those between three and seven miles from the center Zone 2 ------------> [ 3 <= x < = 7 miles]
Zone 3 covers those over seven miles from the center Zone 3 ------------> [ x > 7 miles]
<span>calculate the distance between two points to find the value of x </span> case A) point (0,0) point (3,4) x=√[(y2-y1)² +(x2-x1)²]----------> √[(4-0)² +(3-0)²]------> √[16+9] x=√25-------------> x=5 miles
the answer Part A) people living in (3,4) x=5 miles -------------> covers Zone 2 [ 3 < =x <= 7 miles]
case B) point (0,0) point (6,5) x=√[(y2-y1)² +(x2-x1)²]----------> √[(5-0)² +(6-0)²]------> √[25+36] x=√61-------------> x=7.81 miles
the answer Part B) people living in (6,5) x=7.81 miles -------------> covers Zone 3 [ x > 7 miles]
case C) point (0,0) point (1,2) x=√[(y2-y1)² +(x2-x1)²]----------> √[(2-0)² +(1-0)²]------> √[4+1] x=√5-------------> x=2.23 miles
the answer Part C) people living in (1,2) x=2.23 miles -------------> covers Zone 1 [ x < 3 miles]
case D) point (0,0) point (0,3) x=√[(y2-y1)² +(x2-x1)²]----------> √[(3-0)² +(0-0)²]------> √[9] x=√9-------------> x=3 miles
the answer Part D) people living in (0,3) x=3 miles -------------> covers Zone 2 [ 3 < =x <= 7 miles]
case E) point (0,0) point (1,6) x=√[(y2-y1)² +(x2-x1)²]----------> √[(6-0)² +(1-0)²]------> √[36+1] x=√37-------------> x=6.08 miles
the answer Part E) people living in (1,6) x=6.08 miles -------------> covers Zone 2 [ 3 < = x <= 7 miles]
Step 2, she factored the trinomial incorrectly. She did, "what two numbers multiply to equal 6 but add to equal 5?" She should have asked multiply to equal -6 and add to equal 5. The correct factorization would be:
