Answer:
v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)
First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km
Answer:
answer would be the first choice.
Step-by-step explanation:
you would need to factor out x from the expression, then factor out -3 from the expression, factor the expression using a^2-B^2=(a-b)(a+b), afterwards you factor out the 4 from the expression, and then the 3x. Next you would factor out 2x+1, reduce the expression with x-5, reduce the numbers with the greatest common divisor 2, you then reduce the expression with x-3, multiply the fractions, distribute 2 through the parenthesis, distribute the 3x through the parenthesis, and that should be all.
Check the picture below.
notice, the focus point is at 4,5 whilst the directrix line is at y = -3, below the focus point, meaning the parabola is vertical and opening upwards.
keeping in mind that the vertex is "p" distance from either of these fellows, then the vertex is half-way between both of them, notice in the picture, the distance from y = 5 to y = -3 is 8 units, half that is 4 units, thus the vertex 4 units from the focus or 4 units from the directrix, that puts it at (4,1), whilst "p" is 4, since the parabola is opening upwards, is a positive 4 then.
