The equation of parabola becomes y = -2/25(x-3)^2 + 4.
According to the statement
we have given a graph and from this graph we have to find the equation of parabola in the general form.
So,
we know that the equation of parabola in general form is
y = a(x-h)^2 +k - (1)
From the graph we have:
a point on the graph is (x,y) = (-2,2)
the vertex of the graph is (h,k) = (3,4)
Now, substitute these values in the equation number (1)
Then
y = a(x-h)^2 +k
2 = a(-2-3)^2 +4
2 = a(-5)^2 +4
2 = a(25) +4
25a = -2
a = -2/25.
Now put a = -2/25 and (h,k) = (3,4) in the equation(1).
Then
the equation of parabola becomes y = -2/25(x-3)^2 + 4
So, The equation of parabola becomes y = -2/25(x-3)^2 + 4.
Learn more about equation of parabola here brainly.com/question/4061870
#SPJ4
Answer:
Step-by-step explanation:
- Total distance = 10 miles
- Total time = 2 hours
- Distance walked = x
- Speed walked = 2 mph
- Distance cycled = 10 - x
- Speed cycled = 15 mph
<u>Using the given data we can have the equation below to the time:</u>
- x/2 + (10 - x)/15 = 2
- 30x/2 + 30(10 - x)/15 = 30(2)
- 15x + 20 - 2x = 60
- 13x = 60 - 20
- 13x = 40
- x = 40/13
- x = 3.08 miles <em>rounded to 2 decimal places</em>
Answer:
Speed = 10.42 m/secs
Step-by-step explanation:
We have been given with:-
Distance = 100m
Time taken = 9
secs
1) First, we need to convert the mixed number 9 to an improper fraction.
<u>Method to convert a mixed number to an improper fraction</u>
<u>
</u>
Applying the above formula, we get
9 = 
= 
= 
2) Now we need to convert into a decimal by dividing 48 by 5.
We get time taken as 9.6 secs
3) We need to find the speed using the below formula:-
Speed = 
Plugging the values of Distance and Time taken into the formula, we get
Speed = 
= 10.416 m/secs
4) Upon rounding it to the nearest hundredth, we get
Speed = 10.42 m/secs
l = 2w + 4
l * w = 48
We can substitute l with its value:
2w + 4 * w = 48
2w^2 + 4w - 48 = 0
2(w^2 + 2w - 24) = 0
2(w+6)(w-4) = 0
w = {4, -6}
Answer:
Step-by-step explanation:
180-96
180-96 = 84
96 + 84 = 180
