<u>Part a)</u> If both ants skate directly towards each other, starting at the same time and skating the same speed, what will be the coordinates of their meeting place?
Let
A(3,4) B(33.44)
we know that
If both ants skate directly towards each other, starting at the same time and skating the same speed
then
the coordinates of their meeting place is the midpoint AB
<u>Find the midpoint AB</u>
in the x-coordinate
(3+33)/2=18
in the y-coordinate
(4+44)/2=24
the midpoint AB is (18,24)
therefore
<u>the answer Part a) is </u>
the coordinates of their meeting place is (18,24)
<u>Part b)</u> How far will each ant skate?
<u>Find the distance AB</u>
substitute the values
units
units
<u>Find the half distance AB</u>
50/2=25 units
therefore
<u>the answer part b) is</u>
Each ant will skate 25 units
Answer:
y= -2x²+4x.
Step-by-step explanation:
the common equation of the parabola is y=ax²+bx+c, where a, b, c - numbers.
1) the coordinates of the vertex are:
2) if according to the condition x₀=1, then b= -2a.
If according to the condition y₀=2, then 
it means that c=a+2.
3) if b= -2a; c=a+2 and the point (3;-6) belongs to the given parabola, then it is possible to substitute them into the common equation of the parabola:
-6=3²*a-6a+a+2; ⇔ a= -2.
4) if a= -2, then b=-2a=4, and c=a+2=0.
5) if a=-2, b=4 and c=0, then the required equation of the parabola is:
y= -2x²+4x.
Answer:
A and D
Step-by-step explanation:
67 right out of 100 for the fraction and 67/100 = 67%
If it's an isosceles triangle, the answer should be 87*42yd. In a right triangle, the area is (height*base)/2. if the height perfectly divides the triangle in half, there's no need to divide h*b by 2.
