KE=1/2(m)(v)^2
KE=1/2(80)(1.5)^2
KE=90 J
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
Answer
N = 32 ÷ (5 - 1)
N = 32 ÷ 4
N =8
Step-by-step explanation:
Hello!
Find the cost of each individual item.
1.28 / 2 = 0.64
Each roll of tape costs $0.64.
0.87 / 3 = 0.29
Each notebook costs $0.29.
Each highlighter costs $1.59.
1.98 / 2 = 0.99
Each pen costs $0.99.
One roll of tape is $0.64, two notepads are $0.58 two highlighters cost $3.18, two pens are 1.98.
Add them up: .
0.64 + 0.58 + 3.18 + 1.98 = 6.38
ANSWER:
You would pay B. $6.38.
X = 1, since they intersect at (1,6) and are thus equal at that point
