Answer:0.68
Step-by-step explanation: 0
+0.6
+0.08
The value of a is 1/4 and the value of h and k is (2,-7/4)
<h3>What is a Parabola ?</h3>
A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.
(x-h)² = 4a(y-k)
It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).
Therefore
(x -2)² = 4a(y +2)
The parabola passes through the point (3,-1)
(3-2)² = 4*a(-1+2)
1 = 4 a
a = 1/4
Now to determine the value of focus point , (h,k)
(h = 2)
k = - 2 +1/4 = -7/4
Therefore The value of a is 1/4 and the value of h and k is (2,-7/4)
To know more about Parabola
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Answer:
k - 2 = 4d - 8
d + 1 = 4d - 8
Step-by-step explanation:
Daniel's age = d
Kevin's age = k
Given that, k = d + 3 -------------- (1)
Two years ago, the age of Daniel = d - 2
Two years ago, the age of Kevin = k - 2
Since, two years ago, Kevin was 4 times as old as
Daniel, k - 2 = 4(d - 2)
Opening the bracket,
k - 2 = 4d - 8
Since the value of k is d + 3 (see (1))
d + 3 - 2 = 4d - 8
d + 1 = 4d - 8
(I am just giving the answer cause I LOVE Linear Equation )
1 + 8 = 4d - d
9 = 3d
9/3 = d
3 = d
Therefore, Daniel's present age is 3 and Kevin's present age = 6
Hope You understood
Thank You
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The answer is in the photo
Answer: The answer is 0 hours and 10 hours.
Step-by-step explanation: Given that me and my friend are on a road trip. My speed is 70 miles per hour and my friend's speed is 60 miles per hour. Our plan is to drive less than 15 hours and at least 600 miles each day.
Also, my friend will drive more hours than me.
Let, 'x' and 'y' be the number of hours drove by me and my friend respectively. Then, according to the given information, we have the following inequalities.
When we plot these inequalities in a graph paper, we can see in the attached figure, where the common shaded region gives the solution set, one of the solution is point 'P', given by
x = 0 and y = 10.
This solution satisfy all the three conditions given above.
Thus, one of the solution is - I will drive for 0 hours and my friend will drive for 10 hours.
