Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|
Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5
Required answer is f(x) = one fourth (x - 3)^2 + 5
Answer: The answer is x^2 + 4x - 3
Step-by-step explanation:
You just combine like terms, the only ones that can combine is the 6x and -4x. You just subtract them to get the answer of x^2 + 4x - 3.
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
Triangle ABC and ADE are congruent triangles by SSS Theorem postulate
therefore
Answer: The answer should be 36.75 inches.
Step-by-step explanation:
21 inches divided by 4 inches = 5.25
Multiply 5.25 by 7, which equals 36.75
What is (41 x 24) = 984
The largest 3-digit number is 999.
999 divided by 24 is 41.625 .
To say that another way: When you have a bucket with room for 1,000 in it, you can fit 24 into it 41 times, with some space left over … but not enough to squeeze in another 24.
So the largest number less than 999 that can fit some 24s into it with no space left over is (41 x 24) = 984 .
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