Answer:
y=-3(x-1)^2+5
Step-by-step explanation:
The vertex form of a parabola is y=a(x-h)^2+k where (h,k) is the vertex.
We are given the vertex (h,k) is (1,5) so that makes the equation we have
y=a(x-1)^2+5.
We still need to find a.
We do have the point (0,2) on our parabola.
So replace (x,y) with (0,2) and solve for a.
2=a(0-1)^2+5
2=a(-1)^2+5
2=a(1)+5
2=a+5
-3=a
So the equation is
y=-3(x-1)^2+5
It’s the 1st one, the second one, and the fifth one
Answer:
135°
Step-by-step explanation:
octagon is a 8-sided polygon, and the sum of angles is 360°
By dividing 360/8=45°, which means each 45° rotation maps the octagon onto itself i.e 45°+45°+45°=135°
135° lies between 95° and 135°
Answer:
40 mph, 60 mph, 24 miles
Step-by-step explanation:
Let x mph be the speed of the slower motorcyclist, then 1.5x mph is the speed of the faster motorcyclist.
Both motorcyclists were travelling 2 hours 24 minutes = 2.4 hour. The slower motorcyclist drove 
miles and the faster motorcyclist drove 
miles. In total, they both drove two distances from the point A to the point B, so
The slower motorcyclist drove
miles, so the distance from the point they met and point B is
miles.
