Answer:
4/3
Step-by-step explanation:
y = -3/4x - 6
m = -3/4
Slope of the line perpendicular to this line = -1/m
= -1 ÷ (-3/4)
Answer: No, the triangles are not similar. They aren't even triangles.
Step-by-step explanation: A is a diamond, which cannot be considered a triangle until it is split in half. 8 and 9 would be a triangle if the diamond wouldn't have been there. B and C is a parallelogram.
Answer:
The answer is 1 or infinite solutions
Step-by-step explanation:
When you plug in the value of -5.5 into the equation, you will eventually end up with -17.5=-17.5, making the answer infinite or 1.
The two numbers are -18+ 2√(11) and -18 -2√(11).
-18+ 2√(11)+ [-18 -2√(11)]= -36
[-18+ 2√(11)]* [-18 -2√(11)]= 280.
Hope this helps~
Answer:
A(t) = 300 -260e^(-t/50)
Step-by-step explanation:
The rate of change of A(t) is ...
A'(t) = 6 -6/300·A(t)
Rewriting, we have ...
A'(t) +(1/50)A(t) = 6
This has solution ...
A(t) = p + qe^-(t/50)
We need to find the values of p and q. Using the differential equation, we ahve ...
A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50
0 = 6 -p/50
p = 300
From the initial condition, ...
A(0) = 300 +q = 40
q = -260
So, the complete solution is ...
A(t) = 300 -260e^(-t/50)
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The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
