Answer:
y = - 2x + 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute (5, 2) into the partial equation
2 = - 10 + c ⇒ c = 2 + 10 = 12
y = - 2x + 12 ← equation of line
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Volume of cylinder:
V = πr²h
The desired volume is 1 Liter = 1000 cm³
1000 = πr²h
h = 1000/πr²
Surface area of cylinder:
S.A = 2πr² + 2πr²h
We substitute the value of h from the first equation:
S.A = 2πr² + 2πr(1/πr²)
S.A = 2πr² + 2/r
Now, to minimize surface area, we differentiate the expression with respect to r and equate to 0.
0 = 4πr - 1000/r²
4πr³ - 1000 = 0
r = 4.3 cm
h = 17.2 cm
Y * x = $300 hope it helps
Answer:
number 1 is 5x+8y+10
Step-by-step explanation:
Let's simplify step-by-step.
10y+3x+10+x+x−2y
=10y+3x+10+x+x+−2y
Combine Like Terms:
=10y+3x+10+x+x+−2y
=(3x+x+x)+(10y+−2y)+(10)
=5x+8y+10
Answer:
=5x+8y+10