Answer:
(5, 6 )
Step-by-step explanation:
Using the midpoint formula
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
with (x₁, y₁ ) = B(2, 1) and (x₂, y₂ ) = C(8, 11)
midpoint = [ 0.5(2 + 8), 0.5(1 + 11) ] = (5, 6 )
Answer:
12.75
Step-by-step explanation:
1) slope of the line = derivative of the of the function at the given point.
y' = cosx - x cosx
Evaluate for x = pi => y' = cos(pi) - pi*cos(pi) = -1 - (pi*cos(pi)) = -1 + pi
Then slope = -1 + pi
Given point: (pi, -pi)
Equation:
y - (-pi) = [-1+ pi] (x - pi)
y + pi = -x +pi + xpi -pi^2
y = (pi-1)x - pi^2 .... this is the answer
It will take 26.1 minutes because 5.22x5 is equal to 26.1
Answer:
The answer is 7x
Step-by-step explanation:
To solve the problem drop the brackets and add the like terms
∵ (4x - 6) + (3x + 6)
- There is no number multiplied by each bracket so drop the
brackets without any change in the values inside them
∴ (4x - 6) + (3x + 6) = 4x - 6 + 3x + 6
- The terms 4x and 3x are like terms, so add them
∵ 4x + 3x = 7x
- The terms -6 and 6 are like terms, so add them
∵ -6 + 6 = 0
∴ 4x - 6 + 3x + 6 = (4x + 3x) + (-6 + 6)
∵ (4x + 3x) + (-6 + 6) = 7x + 0
∴ 4x - 6 + 3x + 6 = 7x
∴ (4x - 6) + (3x + 6) = 7x
The answer is 7x