Answer: Green route = 5.8 miles
Blue route = 5.4 miles.
Step-by-step explanation:
Let the miles travelled for Green route be x
Let the miles travelled for Blue route be y
We can form an equation from the question given which will be:
8x + 9y = 95 ........ i
12x + 6y = 102 ......... ii
Multiply equation i by 12
Multiply equation ii by 8
96x + 108y = 1140 ....... iii
96x + 48y = 816 ....... iv
Subtract iv from iii
60y = 324
y = 324/60 = 5.4
Blue route is 5.4 miles.
Since 8x + 9y = 95
= 8x + 9(5.4) = 95
8x + 48.6 = 95
8x = 95 - 48.6
8x = 46.4
x = 46.4/8 = 5.8
Green route = 5.8 miles
Given equation of the parabola y= -5x^2 -10x -13.
We need to apply formla for x-coordinate of the vertex.
x=-b/2a.
For the given equation we have a=-5 and b=-10.
Plugging values of a and b in formula of x-coordinate of the vertex.
x= -(-10)/2(-5)
x= 10/(-10) = -1.
So, we got x-coordinate of the vertex = -1.
Now, we need to plug x=-1 in given equation to find the y-coordinate of the vertex.
Plugging x=-1 in y= -5x^2 -10x -13, equation we get
y=-5(-1)^2-10(-1)-13.
y= -5(1) +10 -13.
y=-5 +10-13.
y=-18+10.
y=-8.
So, we got y-coordinate of the vertex -8.
Therefore, vertex of the parabola is (-1,-8).
Solution:
<u>Note that:</u>
- Circumference = 50.24 ft = 2πr = πd
- Dia. = 16 ft.
<u>Divide the diameter both sides.</u>
- 50.24 ft = πd
- => 50.24/d ft = πd/d
- => 50.24/d ft = π
<u>Substitute the diameter in the equation.</u>
- => 50.24/16 = π (Option A)
Answer:
Step-by-step explanation:
(-1,-2) , (3,10)
slope(m) = (10 - (-2) / (3 - (-1) = (10 + 2) / (3 + 1) = 12/4 = 3
y = mx + b
slope(m) = 3
u can use either of ur points....
(3,10)....x = 3 and y = 10
sub into the formula and find b, the y int
10 = 3(3) + b
10 = 9 + b
10 - 9 = b
1 = b
so ur equation is : y = 3x + 1
Answer:
A
Step-by-step explanation:
