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paper work 05.09.2019
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Mathematics

Published by: Michelle Quitalig Section: IV-Gold

Published to: Mrs. Diño

Difficulty:

1 . A satellite dish in storage space has parabolic cross sections and is resting on the vertex. A place on the casing is four feet high and is 6th feet flat from the vertex. How substantial is a stage which is several feet horizontally from the vertex?

2 . Jack port Pott delves off the high diving table. His length from the surface area of the normal water varies quadratically with the number of seconds which have passed since he left the board. His distance at time 1, a couple of and several seconds since he kept the plank are 24, 18, a couple of meters over a water correspondingly. How high is the snorkeling board?

a few. A ball is thrown into the surroundings.  Its level above the ground,  h (measured in feet), at any time after the ball is thrown,  t (measured in seconds),  can be modelled using the quadratic function h(t) = -16t2 + 16t & 32. By what height above the surface was the ball thrown?

Solutions:

1 . C = zero

Using point (-6, 4 ) and (6, 4)

4 sama dengan a (-6)^2 + (-6)b + c

4 = 36 a -6b + c

5 = thirty-six a & 6b + c

almost 8 = 72 a

a = 1/9

Solving for b;

some = thirty six (1/9) + 6b

4 = four + 6b

B sama dengan 0

The equation of the parabola is y = 1/9 x^2

Y = 1/9 (3)^2

Y sama dengan 1/9(9) sama dengan 1

The idea which is a few feet horizontally from the vertex is 1 foot excessive.

2 . -3a - m = six let this kind of be formula 4

Employing equation two and formula 3 to remove c

4a + 2b + c = 18

-9a - 3b & c = - two

-5a - b = 16 allow this be equation your five

Solving to get a and m using formula 4 and equation five -3a –b = six

+5a +b = -16

2a = -10

a = -5

substituting a = -5 in equation 4

-3(-5) – m = 6

15 – b sama dengan 6

n = 15 – 6

b sama dengan 9

replacing a = -5 w = being unfaithful in formula 1 to fix for c

-5 + 9 + c = 24...

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