You can read it of the graph which is (1,3) or also calculate it with vectors:
calculate the vector CD:
(5-(-3),2-4)=(8,-2)
to calculate the midpoint you need half of the vector length:
(8,-2)/2=(4,-1)
add the vector to C:
(-3,4)+(4,-1)=(1,3)=midpoint of CD
so it's the third option
Answer:
1.2 = 1/2 divided by n
Step-by-step explanation:
a hole
Answer: x=36
Step-by-step explanation: -.75x=-27. Find X. -27/-.75 = 36
The maximum height is 9.0 feet and the time to hit the ground is 4.5 seconds
<h3>How to determine the maximum height?</h3>
The function is given as:
f(x) = -0.6x^2 + 2.7x + 6
Differentiate
f'(x) = -1.2x + 2.7
Set to 0
-1.2x + 2.7 = 0
Subtract 2.7 from both sides
-1.2x = -2.7
Divide both sides by -1.2
x = 2.25
Substitute x = 2.25 in f(x) = -0.6x^2 + 2.7x + 6
f(2.25) = -0.6(2.25)^2 + 2.7(2.25) + 6
Evaluate
f(2.25) = 9.0
Hence, the maximum height is 9.0 feet
<h3>How to determine the time to hit the ground?</h3>
The time to hit the ground is twice the time to reach the maximum height.
In (a), we have:
x = 2.25
So, we have:
Time = 2 * 2.25
Evaluate
Time = 4.5
Hence, the time to hit the ground is 4.5 seconds
Read more about quadratic functions at:
brainly.com/question/1214333
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Let the number of holes of golf you can play be x before your money runs out. I assume both the costs of playing and the income should be equal.
Let your expenses be 25 + 0.50x
Let your income be
a = 18
n = x
d = -1
Sum of income =(a + L)*n/2; L = a + (n - 1)*d
sum of income = (a + a + (x - 1)*d )*x/2
Sum of income = (2a + (x- 1)*(-1) ) * x/2
Sum of income = (2*18 + (x -1 ) (-1) ) * x / 2
Sum of income = (36 - x + 1) * x / 2
Sum of income = (37 - x )* x / 2 Now the income has to equal the expenses.
25 + 0.5x = (37 - x)*x/2 Multiply both sides by 2 and remove the brackets.
50 + x = 37x - x^2 Bring the right side over to the left.
x^2 - 36x + 50 = 0
You need help from the quadratic formula
a = 1
b = -36
c = 50
This does not come to anything nice. I'm getting x = 34.6 holes or x = 1.44.