Avia is going for a hike over the weekend. She is trying to calculate the distance of traveling one way, and she determines that the trail heads north for 10.4 miles, and then east for another Nine and two-tenths miles. Which distance is the most reasonable estimate for Avia’s one-way hike?

17.5 miles
18.0 miles
19.5 miles
21.0 miles

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

60: 45 =12: 9 =4: 3 so the answer is 4: 3