For the given points to lie on the parabola,
a = -3 and k = 10.
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).
According to the question,
Equation of parabola : y = a + k
Points A(1,7) and B(4,-2)
For the points to lie on the parabola,
7 = a+k
7 = a + k
Similarly,
-2 = a + k
-2 = 4a + k
On solving the two equations simultaneously, we get,
a = -3
k = 10
Learn more about parabolas here:
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Answer:
30 inches
Step-by-step explanation:
8+25 = 33
Add the inches symbol at the end of your answer.
33 inches or 33 in.
Round off to nearest 10.
33=30
Therefore, the answer is 30 in. (rounded off)
Hope this helps!
Step-by-step explanation:
x + 8a = 25 + ax - 7a
x = 5
5 + 8a = 25 + 5a - 7a
5 + 8a = 25 - 2a
5 + 10a = 25
10a = 20
a = 2