Answer:
• multiplied by 4p: (x -h)² +4pk = 0
• zeros for k > 0: none
• zeros for k = 0: one
• zeros for k < 0: two
Step-by-step explanation:
a) Multiplying by 4p removes the 1/(4p) factor from the squared term, but adds a factor of 4p to the k term. (It has no effect on the subsequent questions or answers, so we wonder why we're doing this.) The result is ...
(x -h)² +4pk = 0
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b) The value of k is the vertical location of the vertex of the parabola with respect to the x-axis. The parabola opens upward, so for k > 0, the parabola does not cross the x-axis, and the number of real zeros is zero. (There are two complex zeros.)
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c) As in part b, the value of k defines the vertex location. When it is zero, the vertex of the parabola is on the x-axis, so there is one real zero (It is considered to have multiplicity 2.)
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d) As in part b, the value of k defines the vertex location. When it is negative, the vertex of the parabola is below the x-axis. Since the parabola opens upward, both branches will cross the x-axis, resulting in two real zeros.
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The attached graph shows a parabola with p=1/4 and h=2. The values shown for k are +1, 0, and -1. The coordinates of the real zeros are shown.
Answer:
x = 65
y = 71
z = 44
Step-by-step explanation:
y = 71 because If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent
The height of Ernies shadow is 4 feet when his height is 6 feet.
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An equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the length of his shadow. Given that the ratio of ernie's height to his shadow's height is 1.5 to 1. Hence:
- (1.5/2.5) * y = 6
- y = 10 feet
(1/2.5) * 10 = x
x = 4 feet
The height of Ernies shadow is 4 feet when his height is 6 feet.
Find out more on equation at: brainly.com/question/13763238
Answer:
y=4-3x
Step-by-step explanation: