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:
4y-5x-44=0
Step-by-step explanation:
It passes through one point with the formula being
y-y1=m(x-x1)
y-6=5/4(x-(-4))
y-6=5/4(x+4)
cross multiply
4(y-6)=5(x+4)
4y-24=5x+20
collect like terms
4y-5x=20+24
4y-5x=44
4y-5x-44=0
Answer:
1. 5 cups of yellow paint.
2. 15 cups of yellow paint to 3 cups of blue paint.
3. 1:5 is the proportional relationship.
4. 5 is the constant of proportionality, it represents the . of yellow cups of paint.
Step-by-step explanation:
sorry if 4 is wrong
Answer:
The angle bisector is construct.
Step-by-step explanation:
We used the geogebra.org site. We first constructed a large triangle with acute angles. Then from point A we made a semicircular section to its sides. At the intersection of the sides and the semicircular section, we construct two circles so that they intersect. Then from the point A we draw a line through the intersection of the circles and thus we obtain the bisector of the angle.
We repeat the same procedure for point B and for point C. In this way, we obtain a bisector for all angles of a triangle.