Answer:
Collen's average speed was 11.875 miles/h
Step-by-step explanation:
The average speed is given by the total distance travelled divided by the time at which the route was completed. So in this case the total distance is 9.5 miles and the time to complete it was 0.8 hour. We then have:
average speed = total distance/ time
average speed = 9.5/0.8 = 11.875 miles/h
Collen's average speed was 11.875 miles/h
Answer:
D. 101
Step-by-step explanation:
(25x+1)+(25x-2)+(20x-1)+82=360
70x=360-1+2+1-82
70x=280
x=4
A=25x+1=101
Answer:
9. x = 5
10. AD = 7
Step-by-step explanation:
As shown in the diagram, BD is a perpendicular bisector. And D is a point on the perpendicular bisector, meaning it is equidistant from the endpoints on the segment(points A and C). Because of this, we can say AD = CD.
We can substitute to get:
2x - 3 = x + 2
And simplify and solve:
x - 3 = 2
x = 5
AD is just 2x - 3, so we can substitute in x to find AD:
AD = 2(5) -3
AD = 10 - 3
AD = 7
Answer:
Step-by-step explanation:
a = 35 feet
b = 54 feet
h = 28 feet
![Area=\frac{[a+b]*h}{2}\\\\=\frac{[35+54]*28}{2}\\\\=\frac{89*28}{2}\\\\=89*14\\\\](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B%5Ba%2Bb%5D%2Ah%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5B35%2B54%5D%2A28%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B89%2A28%7D%7B2%7D%5C%5C%5C%5C%3D89%2A14%5C%5C%5C%5C)
= 1246 square feet
Answer:
(8,-3)
Step-by-step explanation:
The given parabola is

We factor -3 from the first two terms to get:

Add and subtract the square of half the coefficient of x


We simplify to get:

We compare this to y=a(x-h)²+k,
The vertex is (h,k)=(8,-3)