Answer:
The equation of the bike path on a coordinate map is represented by 
.
Step-by-step explanation:
From Analytical Geometry, we know that resultant parallel line is a translated version of parent line. Two lines are parallel to each other when they share the same slope. The resultant line can be construted from slope-point form:
Where:
, 
- Components of known point, dimensionless.
- Slope of the parallel line, dimensionless.
In addition, a line has also this form:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
Given that parent function is 
, the slope of the resulting line is 
. Now, if 
and 
, we obtain the equation of the line:
The equation of the bike path on a coordinate map is represented by .
The length of DD' is 5.39 units.
Correct answer is D.
Line x = a is parallel with y-axis and passes through the point (a,0).
So our line is parallel with y-axis and passes through the point (6,0).
This lot has the shape of a trapezoid. Regard the 2 different lengths as 160' and 80' and the width 100'
Applying the formula for the area of a trapezoid:
80' + 160'
A = ----------------- * 100' = 24000 ft^3
2
Answer:
In standard notation it is 0.0832
Step-by-step explanation:
Explanation:
Scientific notation is a way to abbreviate numbers that would be really LONG otherwise, either very large numbers or very small ones. It uses the exponent to tell you how many places to move the decimal point and in which direction, to get the number back in standard notation.
A negative exponent means the number is smaller than it looks. Here, it's smaller than
8.32
The exponent -2 means we have to move the decimal point two places to the LEFT.
Doing that gives us
0.0832
If the number in scientific notation were 8.32 x 102, you would move the decimal point two places to the RIGHT, giving you: 8,320, or 8,320.00 in standard notation.
Suppose you had to write a report about the national debt, which is in the trillions of dollars I think. Would you want to have to write all those zeros every time?
Instead, you could use scientific notation. Let's pretend the debt is 2 trillion dollars. You can write this as: 2.0× 10^12
since two trillion is a 2 followed by 12 zeros.
