The quadratic equation that has a vertex at (4,-3) and passes through (6,-1) is given by:
y = 0.5(x - 4)² - 3.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the vertex is at (4,-3), hence:
h = 4, k = -3.
The equation is:
y = a(x - 4)² - 3.
When x = 6, y = -1, hence we use it to find the leading coefficient a as follows:
-1 = a(6 - 4)² - 3
4a = 2.
a = 0.5.
Hence the equation is:
y = 0.5(x - 4)² - 3.
More can be learned about quadratic equations at brainly.com/question/24737967
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Answer:
59 / 96 :)
Step-by-step explanation:
The fraction is the number of orange juice containers divided by the number of total containers!
So, the number of orange juices are 177, and the total number of containers are 288.
So, the fraction will be 177 / 288!
This fraction can actually be simplified down to 59 / 96, by dividing the numerator and the denominator by 3 :)
0.5 is the same thing as saying 5/10. When you reduce your answer, you get 1/2. To reduce, divide the numerator by 5 and the denominator by 5. :-)
Answer:
BA + BC = AC
Step-by-step explanation:
B is the midpoint of AC
Then
BA = AC/2 and BC = AC/2
Then
BA + BC = AC/2 + AC/2 = AC
I believe the answer would be D.