(4,a) and (2,5) are two points from a direct variation. what is a? use the step by step process you just learned to solve this p
2 answers:
Answer:
a = 10
Step-by-step explanation:
Since the quantities vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the point (2, 5 ) with x = 2 and y = 5
k = =
= 2.5
y = 2.5x ← equation of variation
Using the point (4, a) with x = 4, then
y = a = 2.5 × 4 = 10
You might be interested in
Answer:
Step-by-step explanation:
From the table of function given, you would observe that if you subtract 2 from half of the x-variable values, you'd get the y-variable values.
For example, half of -8 = -4. If you add 2 to -4, you'd get: -4 + 2 = -2. Same applies to other x-values on the table.
Thus, an expression for the function represented by the table values can be written as,
Answer:
Option A: is the correct answer.
Step-by-step explanation:
Given that:
Slope of the line =
Let,
m be the slope of the line perpendicular to the line with slope
We know that,
The product of slopes of two perpendicular lines is equals to -1.
Therefore,
Multiplying both sides by
m =
is the slope of the line perpendicular to the line having slope
Hence,
Option A: is the correct answer.