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.
The terms of an arithmetic progression, can form consecutive terms of a geometric progression.
- The common ratio is:
- The general term of the GP is:
The nth term of an AP is:
So, the <em>2nd, 6th and 8th terms </em>of the AP are:
The <em>first, second and third terms </em>of the GP would be:
The common ratio (r) is calculated as:
This gives
The nth term of a GP is calculated using:
So, we have:
Read more about arithmetic and geometric progressions at:
brainly.com/question/3927222
Answer:
b.The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about
3 mpg.
Step-by-step explanation:
i got it right
Answer:
Intercept = - 3 ; slope = 18
Step-by-step explanation:
Given the points :
(3, 51) ; (5, 87)
x1 =3, y1 = 51, x2 = 5 ; y2 = 87
Slope intercept relation:
y = mx + c
m = slope ; c = intercept ; x and y are x, y vlayes respectively
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (87 - 51) / (5 - 3)
Slope = 36 / 2
Slope (m) = 18
The intercept c :
m = 18 ; x = 5 ; y = 87
Substitute values into the slope intercept formula :
87 = 18(5) + c
87 = 90 + c
c = 87 - 90
c = - 3
Intercept = - 3
Answer:
variable
Step-by-step explanation:
the variable
(6× + 3) means (6×1 + 3)
x is a variable
