Answer:
try to find the c's in the o's how many are there?
Step-by-step explanation:
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Answer:
3/2 x
Step-by-step explanation:
length of a side of an equilateral triangle is x
The perimeter is
P = 3s where s is the side length
P = 3x
1/2 of the perimeter
1/2 (3x)
3/2 x
Compute the derivative dy/dx using the power, product, and chain rules. Given
x³ + y³ = 11xy
differentiate both sides with respect to x to get
3x² + 3y² dy/dx = 11y + 11x dy/dx
Solve for dy/dx :
(3y² - 11x) dy/dx = 11y - 3x²
dy/dx = (11y - 3x²)/(3y² - 11x)
The tangent line to the curve is horizontal when the slope dy/dx = 0; this happens when
11y - 3x² = 0
or
y = 3/11 x²
(provided that 3y² - 11x ≠ 0)
Substitute y into into the original equation:
x³ + (3/11 x²)³ = 11x (3/11 x²)
x³ + (3/11)³ x⁶ = 3x³
(3/11)³ x⁶ - 2x³ = 0
x³ ((3/11)³ x³ - 2) = 0
One (actually three) of the solutions is x = 0, which corresponds to the origin (0,0). This leaves us with
(3/11)³ x³ - 2 = 0
(3/11 x)³ - 2 = 0
(3/11 x)³ = 2
3/11 x = ³√2
x = (11•³√2)/3
Solving for y gives
y = 3/11 x²
y = 3/11 ((11•³√2)/3)²
y = (11•³√4)/3
So the only other point where the tangent line is horizontal is ((11•³√2)/3, (11•³√4)/3).
Option B: 
is the value of y
Explanation:
It is given that "Two times x is 8 more than y". Writing it as expression, we have,
It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,
To find the value of y, let us solve the two equations using substitution method.
From the equation , let us find the value of x.
Now, substituting in the equation , we get,
Thus, the value of y is
Answer:
x = 5
Step-by-step explanation:
=(-5-√-75)/2=(-5-5i√ 3 )/2= -2.5000-4.3301i
x =(-5+√-75)/2=(-5+5i√ 3 )/2= -2.5000+4.3301i
x = 5
source tiger-algebra.com
