Answer:
The equation of line is y = -4x -4.
Step-by-step explanation:
Given that:
Slope of the line = -4
Line passes through the point ( -3, 8)
The general equation of line is given by;
y - y1 =m(x-x1)
Putting the point and slope in equation
y - 8 = -4(x - (-3))
y - 8 = -4(x+3)
y - 8 = -4x - 12
y = -4x - 12 + 8
y = -4x -4
Hence,
The equation of line is y = -4x -4.
Answer:
16^25
Step-by-step explanation:
The applicable relation is ...
(a^b)^c = a^(bc)
2^100 = 16^x = (2^4)^x = 2^(4x)
Equating exponents, we have ...
100 = 4x
25 = x
Then 2^100 = 16^25.
Answer:
Step-by-step explanation:
Give the DE
dy/dx = 1-y
Using variable separable method
dy = (1-y)dx
dx = dy/(1-y)
Integrate both sides
∫dx = ∫dy/(1-y)
∫dy/(1-y)= ∫dx
-ln(1-y) = x+C
ln(1-y)^-1 = x+C
Apply e to both sides
e^ln(1-y)^-1 = e^,(x+C)
(1-y)^-1 = Ce^x
1/(1-y) = Ce^x
Step-by-step explanation:
10 feet = 1 inch
50 feet = 5 inches
Do the same thing for the length.
If you don't under stand.
50/10 = 5
1/10 = x/50
10x = 50
x = 50/10
x = 5 inches
Then you do the same with the lenght.
1050 × 100 ÷ 30 would be what you plug into a calculator (if you have one) to get the answer.
100% = 3500.
