Step-by-step explanation:
Sn= a+[n-1]d
S2= a+[2-1]d
8.5 = a+d _______Equation 1
S5 = a+[5-1]d
13=a+4d ________Equation 2
Subtract Equation 1 from Equation 2
13=a+4d
-
8.5= a+d
________
4.5= 3d
d=1.5
Substituting d=1.5 in equation 1
8.5=a+1.5
a=8.5-1.5
a=7
Sum of terms of an A.P =
Sn= n/2[2a+(n-1)d]
292= n/2[2×7+(n-1)d]
292=n/2[14+(n-1)1.5
292×2=n[14+(n-1)1.5]
584=n[14+1.5n-1.5]
584= 14n+1.5n²-1.5n
584= 1.5n²+12.5n
1.5n²+12.5n-584
1.5n²-24n+36.5n-584
1.5n(n-16)+36.5(n-16)
(1.5n+36.5)(n-16)
**n-16=0
n=16
After turning 90 degrees from east he is now at SOUTH.
Answer:
The time at which they will all meet at a place together is 350 minutes
Step-by-step explanation:
The time it takes Faiza to cycle the park = 60 seconds
The time it takes Krish to cycle the park = 14 seconds
The time it takes Joe to cycle the park = 25 seconds
Therefore, the time they will all meet at a place together is given by their Lowest Common Multiple as follows;
LCM = 60 × 14 × 25 = 21,000 seconds
Therefore, the time at which they will all meet at a place together in minutes = 21000 seconds/(60)×minute/second = 350 minutes
Answer:
thank you
Step-by-step explanation:
Answer:
y = 2x + 4
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 )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (- 2, 0 ) into the partial equation
0 = - 4 + c ⇒ c = 0 + 4 = 4
y = 2x + 4 ← equation of line