According to the table, what was the hiker’s total displacement?

Mathematics

1 answer:

shtirl [24]2 years ago

7 0

Answer:

A: 0

Step-by-step explanation:

Important to remember - total displacement is the direct distance between the start and finish points, and isn't always equal to the total distance travelled.

In the case of the table above, the hiker travels the same distance in opposite directions, which actually means they cancel each other out! Traveling 4 km to the west, then 4 km to east means you end up in the same spot, right? So your total displacement is 0! (or 4 - 4, which equals 0). Same happens with the north-south hikes - the hiker ends up in the same spot, as the displacement is equal to 6 - 6 = 0.

So, the total displacement of the hiker is 0. (Even though the hiker travelled 20 km!)

You might be interested in

Bryce left a 20% tip on a $45 dinner bill. What was Bryce's total dinner cost?

marin [14]

Answer:

Answer below hopes it helps

Step-by-step explanation:

8 0

2 years ago

How would I solve this Rational Equation? Solve for all values of x.

Nesterboy [21]

9514 1404 393

Answer:

x = 4

Step-by-step explanation:

I like to put these in the form f(x) = 0. We can do that by subtracting the right side. Common factors can be cancelled from numerator and denominator, provided they are not zero.

$\dfrac{7}{x+3}+\dfrac{3}{x-3}-\dfrac{x}{x-3}=0\\\\ \dfrac{7(x-3)+(x+3)(3-x)}{(x+3)(x-3)}=0\\\\\dfrac{(x-3)(4-x)}{(x-3)(x+3)}=0\\\\ \dfrac{4-x}{x+3}=0\qquad x\ne3\\\\x=4 \qquad\text{equate the numerator to zero, add $x$}$

_____

If you leave the numerator as (x-3)(4-x), then there are two values of x that make it zero. Because x=3 makes the equation "undefined", it cannot be considered to be a solution.

4 0

3 years ago

Solve for the indicated variable. 8x + 4y = 12; y

Ket [755]

Answer:

$y=-2x+3$

Step-by-step explanation:

Given: $8x+4y=12$

To solve for y, let us first isolate y on one side of the equation. We can do this by subtracting $8x$ from the left and move it to the right. We then get: