Answer:
3x + 4.5x + 1 = 28
3.6 seconds
Step-by-step explanation:
Initial distance apart = 1 foot
Student A:
Walk rate = 3 ft per second
Student B:
1.5*3 = 4.5 ft per second
How long it will take to be a total of 28 feets apart
Distance = speed * time
Let time = x in seconds
Student A distance = 3x
Stident B distance = 4.5x
Initial distance = 1 foot
3x + 4.5x + 1 = 28
7.5x = 28 - 1
7.5x = 27
x = 27/ 7.5
x = 3.6 seconds
The slope is 1/4, so only choices B, D, E are worth considering. Only choices D and E have the correct point in the point-slope form.
The appropriate selections are
D. y -4 = (1/4)(x -4)
E. y -6 = (1/4)(x -12)
Answer:
20
Step-by-step explanation:
Use the distance equation to find the length of each side:
d = √((x₂ − x₁)² + (y₂ − y₁)²)
where (x₁, y₁) and (x₂, y₂) are the points (the order doesn't matter).
AB:
d = √((-2 − (-2))² + (-2 − 4)²)
d = 6
BC:
d = √((4 − (-2))² + (-2 − (-2))²)
d = 6
AC:
d = √((-2 − 4)² + (4 − (-2))²)
d = 6√2
So the perimeter is:
AB + BC + AC
6 + 6 + 6√2
≈ 20
Answer:
b
Step-by-step explanation:
Answer:
Suppose the closest point is at p=(x0,y0), and set q=(−2,−3). Then the tangent to the parabola at p is perpendicular to ℓ, the line through p,q. and we end up numerically computing the roots from here.
