Answer:
Answer:
y = 16/25x³
Step-by-step explanation:
If y is inversely proportional to a^3, this is expressed as;
y∝1/a³
y = k/a³ where k is the proportionality constant
Given a=2, y=10, then 10 = k/2³
k = 10*2³
k = 80
Substituting k = 80 back into the formula;
y = 80/a³ ............. 1
Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx
If x=4, a=20 then;
20 = 4k
k = 20/4
k = 5
Substituting k = 5 back into the formula;
a = 5x ....... 2
Substitute equation 2 into 1;
y = 80/a³
y = 80/(5x)³
y = 80/125x³
y = 16/25x³
Hence the formula for y in terms of x is y = 16/25x³
Step-by-step explanation:
Answer:
What's the question? All you posted was the potential answers.
Step-by-step explanation:
Can the numbers be repeted!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
<u><em>The complete question is</em></u>
The given line passes through the points (−4, −3) and (4, 1).
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, 3)?
step 1
Find the slope of the given line
The formula to calculate the slope between two points is equal to
we have
(−4, −3) and (4, 1)
substitute the values
step 2
Find the slope of the perpendicular line to the given line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
so
we have
---> slope of the given line
so
---> slope of the perpendicular line to the given line
step 2
Find the equation in point slope form
we have
substitute
----> equation in point slope form