Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou
1 answer:
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Answer:
- Sales price= $
List price=L Discount
Step-by-step explanation:
The percentage discount is
The discount is always given on the list price.
Let the list price be L, then
List price=L
Sales price= $
Discount
We substitute into the equation to get:
Divide both sides by 0.805
The list price of the swimming pool is $1450
Answer:
see attached
Step-by-step explanation:
At 1100 ft per second for 18 seconds, the sound travels 19,800 ft, or 3.75 miles farther to my friend's house. The set of points that lie 3.75 miles farther from my friend's house than from my house form a hyperbolic curve. This is illustrated by the blue line in the attached graph. (My house is the red dot on the left; my friend's house is the red dot on the right.)
The lightning occurred somewhere on the blue curve.
___
If the lightning occurred on the line between our houses, it was 1/8 mile from my house and 3 7/8 mile from my friend's house. (That's close!)
_____
The formula for the curve in the graph is the distance formula applied to the set of points (x, y). It equates the difference of distance from the two houses to 3.75 miles. If one were to write the equation of the hyperbola in standard form, the equation would look a little different and a restriction would need to be applied so the formula would describe only one branch of the hyperbola.
