Step-by-step explanation:
to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term
so, 12/-4 = -3
also, -36/12 = -3
here u see the ratio is always same, i.e., common ratio.
thus u can say it is a geometric series with common ratio -3
Answer:
Step-by-step explanation:
At the first track meet, distance of the shot put throw
= 
At the second track meet distance of the throw
feet
Expression that represents the improvement in the throw will be
D = 
D = 
D = 
D = 
D = 
D =
feet
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - 2y = - 3 into this form
Subtract x from both sides
- 2y = - x - 3 ( divide all terms by - 2 )
y =
x +
← in slope- intercept form
with m = 
• Parallel lines have equal slopes, thus
y =
x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = -
+ c ⇒ c = 2 +
= 
y =
x +
← in slope- intercept form
Multiply through by 2
2y = x + 5 ( subtract 2y from both sides )
0 = x - 2y + 5 ( subtract 5 from both sides )
- 5 = x - 2y, thus
x - 2y = - 5 ← in standard form
(-3, 2) because you take the derivative and youll get y'=2x+6 then solve for x and that is -3 then put -3 in the original equation and you get 2