Answer:
17.03 units
Step-by-step explanation:
The distance formula for the distance between two points (x1, y1) and (x2, y2) is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
For the given points, the distance is ...
d = √((8-(-3))^2 +(-6-7)^2) = √(11^2 +(-13)^2)
d = √(121 +169) = √290
d ≈ 17.03
The distance between the points is about 17.03 units.
Y = 3x^2 + 7 is the equation of the parabola
Answer:
25 cm^2
Step-by-step explanation:
Area = (height * base)/2
(5 * 10) / 2 = 25 cm^2
Easiest way to do this is to turn them all to decimals
√5= 2.23
2.5= 2.5
√9/4= 1.5
5/3= 1.66
order least to greatest:
1.5
1.66
2.23
2.5
Answer:
Step-by-step explanation:
The equation for this free fall problem is
where h(t) is the height of the pebble from the ground at any time t. If we are looking for the time it takes the pebble to hit the ground, knowing that at ground level the height is 0, we set the quadratic equal to 0 and solve for t:
and
and
so
t = -8, 8
Since time will never be negative,
t = 8 seconds