Point-slope form: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)
Data:
(1,1)
m=2
Therefore:
y-y₀=m(x-x₀)
y-1=2(x-1) This is the equation of the line in point-slope form.
Answer. y-1=2(x-1)
Answer:
1) A. -10/27
2) Either A or D whichever is supposed to be negative
3) -1 7/10
4) - 1 10/11
5) C. -1 31/33
Step-by-step explanation:
-3 1/3 divided by 9
-3 1/3 = -10/3
-10/3(1/9) = -10/27
-3 3/4 divided by 3
-3 3/4 = -15/4
-15/4(1/3) = -15/12 = -1 3/12 = -1 1/4
-2 1/8 divided by 1 1/4 WHAT IS A MULTI ANSWER?
- 17/8 divided by 5/4
- 17/8(4/5) = 68/40 = 1 7/10
-5 1/4 divided by 2 3/4 WHAT IS A MULTI ANSWER?
-21/4(4/11) = -21/11 = -1 10/11
-5 1/3 divided by 2 3/4
-16/3(4/11) = -64/33 = -1 31/33
Answer:
a) 40, 50, 55, 57.5
b) 
Step-by-step explanation:
h₀ = Initial height of the ball =20
r = Rebound fraction = 0.5
a) The series of bouncing balls is given by
Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)
S₁=h₀+2h₀r¹=20+2×20×0.5=40
S₂=h₀+2h₀(r¹+r²)=20+2×20×(0.5+0.5²)=50
S₃=h₀+2h₀(r¹+r²+r³)=20+2×20×(0.5+0.5²+0.5³)=55
S₄=h₀+2h₀(r¹+r²+r³+r⁴)=20+2×20×(0.5+0.5²+0.5³+0.5⁴)=57.5
b) General expression for the nth term of the sequence
