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.
Answer:
sin(62)=18/x
Step-by-step explanation: sine = opp/hyp
107 m
Step-by-step explanation:
Step 1:
Here the microscope magnifies by 10 times.
The initial length is 10.7 m
Step 2:
Let the object be magnified by 10 times . Then, 10 × 10.7 = 107
For the squirrel questions
1.c
2.b
3.d
4.a
In this one, you must make h = 0.
You get :
which can be further simplified to
if you divide all of the numbers by -2.
Here you can use the quadratic formula again!
You get the numbers to be :
1.97 and -2.22I had made a mistake to think that negative numbers can be included but in these questions, you can't have negative numbers as your answer. So the correct answer is
1.97!