Answer:
= 5n - 1
Step-by-step explanation:
There is a common difference between consecutive terms , that is
9 - 4 = 14 - 9 = 19 - 14 = 5
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 4 and d = 5 , then
= 4 + 5(n - 1) = 4 + 5n - 5 = 5n - 1
Answer:
x =2 x = -1
Step-by-step explanation:
|2x - 1| + 3 = 6.
Subtract 3 from each side
|2x - 1| + 3-3 = 6-3
|2x - 1|= 3
An absolute value has two solutions, one positive and one negative
2x-1 =3 2x -1 = -3
Add 1 to all sides
2x-1+1 =3+1 2x-1+1 = -3+1
2x = 4 2x =-2
Divide by 2
2x/2 = 4/2 2x/2 = -2/2
x =2 x = -1
The answer would be theorem Side angle side (aka SAS)
Answer:
97
Step-by-step explanation:
Answer:12.5 seconds
Step-by-step explanation:hconsidering Runner 1 with a speed of 10m/s
and Runner 2 with a speed of 4 m/s
the equation of displacement for a uniform movement is
x=V*t
so x1=V1*t
and x2=V2*t
and the problem condition is x2=x1+75m
so we proceed to solve the equations.
from equation 2 t=x2/V2
substituting in equation 1 we have
x1=V1(x2/V2) and then the 3 equation
x1=V1((x1+75m)/v2
finally x1=75*(V1/(V2-V1)) =75*(10/(10-4))=125m
then t=(x1/v1)=125/10=12.5 seconds
