a=2
Answer:
(m1) slope of DE=(7-1)/(10-a)=6/(10-a)
(m2) slope of EF=(11-7)/(7-10)=4/-3=-4/3
since line are perpendicular
m1m2=-1
6/(10-a) ×-4/3=-1
6/(10-a)=3/4
6×4=3(10-a)
24=30-3a
3a=30-24
a=6/3=2
Answer:The graph f(x) is shifted 2 units to left and shifted down by 6 units to form the graph r(x) .
Step-by-step explanation:
Answer:
5.9 years
Step-by-step explanation:
That is, r=0.12.
Then we have 2P = P (1 + 0.12/4)^(4t) and need only solve for time, t.
Simplifying the above equation: 2 = (1.03)^(4t)
We must isolate 4t, and then isolate t. To do this, take the common log of both sides of the above equation. We get:
log 2 = (4t) log 1.03. This gives us 4t = [log 2] / [log 1.03], or
4t = 23.4498
Dividing both sides by 4, we get t = 5.86 (years).
round that to 5.9 years
Answer:
x=1
Step-by-step explanation:
4x+6=10
4x+10-6
4x=4
x=1
165
5x5= 25
12x12=144
25+144= 165