A line passes through the points (p, a) and (p, –a) where p and a are real numbers. If p=0, what is the y-intercept? Explain your reasoning.
<span>p - as "x" never changes with the value of "y", so no matter what y is, x is always "p", so when y is 0, x = p </span>
<span>slope of the line </span>
<span>change in y over the change in x </span>
<span>(-a - a) / (p - p) = infinity - or a vertical line </span>
<span>equation of the line </span>
<span>y = p </span>
<span>slope of a line perpendicular to the given line </span>
<span>inverse of the orig slope or (p - p)/(-a - a) = 0</span>
Answer: the dwarf tree grew by 3 inches.
the semi dwarf tree grew by 6 inches.
the full size tree grew by 18 inches.
Step-by-step explanation:
Let x represent how much the semi-dwarf lemon tree grew.
Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. This means that the amount by which the dwarf lemon tree grew is expressed as x/2
A full-size lemon tree grew three times as much as the semi-dwarf lemon. This means that the amount by which the full-size lemon tree grew is expressed as 3x
Together, the three trees grew 27 inches. This means that
x/2 + x + 3x = 27
Cross multiplying by 2, it becomes
x + 2x + 6x = 54
9x = 54
x = 54/9
x = 6 inches
The dwarf tree grew by 6/2 = 3 inches.
The full-size lemon tree grew by 3 × 6 = 18 inches
Answer:
3
Step-by-step explanation:
Given
f(x) = 
, then
f(12) = 
= 
= ± 3
There are 2 values 3 and - 3
The positive value of f(12) is + 3
24/5
I think this is the right answer, hope this help
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