<h3>
The constant of proportionality is k = 5</h3>
For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.
For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.
Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.
You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.
side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.
Since -5 and -5 are the same number, they are on the same y axis so the only distance we need to calculate is between the X coordinates.
When looking for distance, you can not have a negative. what |-3|+|9| is looking for is the distance from 0 on the X axis. since distance can't be negative, (you go 3 miles away from your house in one direction, vs 3 miles in the opposite. both ways is positive, even with opposite directions. same with axis, it doesnt matter which way, only the number.) you need the absolute value of -3 to get the distance from the 0 on the x axis.
short version: distance is positive, and its adding the distances from the x axis to get distance from each other
Answer:
Step-by-step explanation:
Using the formula for the growth of investment:
.....[1]
where,
A is the amount after t year
P is the Principal
r is the growth rate in decimal
As per the statement:
Scott invests $1000 at a bank that offers 6% compounded annually.
⇒P = $1000 and r = 6% = 0.06
substitute these in [1] we get;
⇒
Therefore, an equation to model the growth of the investment is,
Answer:
Neither
Explanation:
The slope-intercept form of the equation of a line is generally given as;
where m = the slope of the line
b = the y-intercept of the line
Two lines are said to be parallel if they have the same slope. Looking at the two given equations below, we see that the slope of the 1st one, 5/7, is different from the slope of the 2nd one, 7/5;
Two lines are said to be perpendicular if their slopes are negative reciprocals of each other, let's go ahead and compare their slopes;
So the two lines are not perpendicular to each other. It, therefore, means that the correct answer will be Neither.
