Answer:
y = (x+3)^2 -1
Step-by-step explanation:
The vertex form of the equation is
y = a(x-h)^2 +k where (h,k) is the vertex
The vertex is (-3,-1)
y = a(x- -3)^2 -1
y = a(x+3)^2 -1
Pick another point (-2,0) and substitute it into the equation
0 = a(-2+3)^2 -1 to find a
0 =a(1)^2 -1
0 = a-1
1 = a
y = (x+3)^2 -1
Answer:
Step-by-step explanation:
Len and Faye live 54 miles apart. At the same time, they start biking toward each other on the same road. Len's constant rate is 7 mph and Faye's is 11 mph. How many hours will it take them to meet? [Remember: D = (r)(t)]
Answer – 3 hours
D = (r)(t), Where
‘D’ is the distance covered
‘r’ is the approach rate
‘t’ is the total time spent
Distance covered, ‘D’ = miles
Approach rate, “r” = mph + mph 7+11
r = 18
t is unknown
Solving for t,
D = (r)(t)
54 = 18t
t = 54/18
t = 3 hours
<span>Shortest side = x, Longest Side = 4x-1, third side = 18
Equation is x + (4x-1) + 18 = 42 so 5x-1 = 42-18=24 and 5x=25 so x = 5, longest side = 4(5)-1=19, third side=18
Add all 3 (5+19+18) to get 42</span>
24 x 30 = 720 sq. ft
36 x 108= 3888 sq. inches
3888 inches divided by 12 inches= 324 ft.
720 ft - 324 ft. = 396 ft is the yard only without the garden