Answer:
<em>75</em>
Step-by-step explanation:
Given:
f(1) = 100
f(n+1) = f(n) - 5
Solve for:
f(6)
Solution:
f(1) = 100
f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5
f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1) - 2 x 5
...
f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5
=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75
Hope this helps!
Answer:
All (a,b) that satisfy a.b < 0 will make that statement false
Step-by-step explanation:
It is only right when:
|a-b| = |a| - |b|
<=> ( |a-b| ) ^ 2 = ( |a| - |b| ) ^ 2
<=> a^2 - 2ab + b^2 = a^2 - 2.|ab| + b^2
<=> ab = |ab|
<=> ab ≥ 0
So, when ab < 0, it's wrong
Answer:
D. The two triangles are congruent because a translation does not change size and shape.
Step-by-step explanation:
I'm pretty sure that D is the answer. It jut basically moved , didn't change anything.
Answer:
15.71
Step-by-step explanation:
Length AB = sqrt ( (3-3)^2 + (2- - 1)^2) = sqrt9 = 3
Length BC = sqrt ( (-3-3)^2 + ( -1-2)^2) = sqrt 45
Lemgth CA = sqrt( 6^2) + (-1 - -1)^2 = sqrt 36 = 6
Perimeter = 3 + 6 + sqrt45
= 15.71
