When lines are parallel, they have the same slope, so the statement "line a and line b have the same slope" is TRUE
When lines are perpendicular, the slopes are opposites (the sign and number is flipped)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -1
perpendicular line's slope is 1/1 or 1
slope is 4/5
perpendicular line's slope is -5/4
When you multiply(the product) perpendicular slopes together, they equal -1. Since line c is perpendicular to line a and line b, the product of their slopes is -1.(so this is true)
The statement "the sum of the slopes of line a and b is 0" is false because if they have the same slope, when added together the result would not be 0. The slopes of line a and line b is -2/3, so the sum would be -4/3.
Answer:
The equations describing the area which each tower covers are given as
Tower A : 
Tower B : 
Tower C : 
Step-by-step solution:
Cell phone radio towers broadcast a cell phone signal in circular pattern
Tower A at Adele Acres have position co-ordinates as (0,0) and a coverage radius of 4 ml. So, the area which it covers is given by the equation,
-------------------------------(1)
Tower B at Brown Lake have position co-ordinates as (5,4) and a coverage radius of 3 ml. So, the area which it covers is given by the equation,
-------------------------------(2)
Tower C at Cady City have position co-ordinates as (4,-4) and a coverage radius of 5 ml. So, the area which it covers is given by the equation,
-------------------------------(2)
Answer:
1.-t₁ = 0,625 s
2.-h(max) = 6,25 f
3.-t = 1,25 s
Step-by-step explanation:
V₀ = 20 f/s
h(t) = - 16*t² + 20*t
h(max) = ??
h´(t) = - 32*t + 20
h(max) will occurs when V = 0 dh/dt = 0 then
- 32*t + 20 = 0
- 32*t = -20
t = 20/32
t₁ = 0,625 s
h(max) = h(0,625) = - 16*(0,625)² + 20*0,625
h(max) = - 6,25 + 12,5
h(max) = 6,25 f
c) The ball will hit the ground
t = 2*t₁
t = 2*0,625
t = 1,25 s
Answer:
first term a=4
Step-by-step explanation:
Sum of the first 6 terms S6 = 15624
common ratio r= 5
n= 6
first term a=?
Formula: S6= a(r^n-1)/r-1
15624 = a( 5^6-1)/5-1
15624 = a(15625-1)/4
15624= a( 15624)÷4
15624= 15624a÷4
Cross multiply
15624×4 = 15624a
62496 = 15624a
divide both sides by 15624
62496÷15624 = 15624a÷15624
4 = a
a= 4
Answer:
Step-by-step explanation:
