Answer:
C. 5
Step-by-step explanation:
Since Triangle ABC is congruent to EDF it mean that the sides are the same so the length of BC is congruent to the length of DF:
distance formula:
d = √(x2 - x1)^2 + (y2 - y1)^2
d = √(2 - 2)^2 + (-1 - 4)^2
d = √(0)^2 + (-5)^2
d = √0 + 25
d = √25
d = 5
Answer:
Whats the riddle
Step-by-step explanation:
Answer:
y = 6/5 x-1 slope intercept form
6x-5y = 5 standard form
Step-by-step explanation:
We have the points (0,-1) and (-5,-7)
We can find the slope using
m = (y2-y1)/(x2-x1)
= (-7--1)/(-5-0)
= (-7+1)/(-5-0)
= -6/-5
= 6/5
We also have the y intercept ( when x=0) It is -1
We can use the slope intercept form of the equation y = mx+b
y = 6/5 x-1
Depending on what you mean when you say simplify your answer
We can put it in standard form ax+by = C
Multiply both sides by 5
5y =5* 6/5 x-1*5
5y = 6x-5
Subtract 6x from each side
-6x+5y = 6x-6x-5
-6x+5y = -5
Multiply by -1
6x-5y = 5
Answer: 64 years
Step-by-step explanation:
Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:
R1 = P(1.05)^t,
This means that after t years, the dealer would have the total amount of:
$P×1.05^t.
If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:
R2 = $P(1 + 20).
The value of t which will make both returns equal, will be;
R1 = R2.
P×1.05^t = P(1+20)
P will cancel out
1.05^t = 21
Log both sides
Log1.05^t = Log21
tLog1.05 = Log21
t = Log21/Log1.05
t = 64 years
The best time to sell the wine is therefore 64years from now.
