Answer:
49
Step-by-step explanation:
When Karen was born, the dad is 22 so Karen is now 27 which means the dad is 22+27= 49
Answer:

Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

Answer:
1/24
Step-by-step explanation:
Answer:
5/√3 inches long.
Step-by-step explanation:
The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3. Thus if you know that the side opposite the 60 degree angle measures 5 inches then then this is √3 times as long as the side opposite the 30 degree so the side opposite the 30 degree angle is 5/√3 inches long.
Answer:
the question is incomplete, the complete question is
"Finding Derivatives Implicity In Exercise,Find dy/dx implicity .
"
Answer : 
Step-by-step explanation:
From the expression
" y is define as an implicit function of x, hence we differentiate each term of the equation with respect to x.
we arrive at

for the expression
we differentiate using the product rule, also since y^2 is a function of y which itself is a function of x, we have
.
if we make dy/dx subject of formula we arrive at
