Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
First, let us solve for the slope of the line which it
intersects with:
m’ = (y2 – y1) / (x2 – x1)
m’ = (-3 – 4) / (-2 – 5)
m’ = 1
The slope of the perpendicular line is the negative
reciprocal, therefore:
m = - 1 / m’
m = - 1 / 1
m = -1
<span>So the slope of the line is -1.</span>
Answer:
x = 10
Step-by-step explanation:
In the last step, you can see that the fraction 
has been multiplied by its reciprocal 
, making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply 
· :
6 · 5 = 30
3 · 1 = 3
<u><em>So now you should have the fraction:</em></u>
x = 
<u><em>But, you can still simplify the fraction by dividing 30 by 3:</em></u>
x = 10
Answer:
C and D give rational numbers, as the square root of 49 is ±7 and the square root of 100 is ±10.
