A = 1/2 x bh
A = 1/2 x 5 x 12
A = 6 x 5
A = 30m
4 cups of blue paint and 8 cups of red paint
explanation
to pour one cup of blue paint, two cups of red paint has to be poured.
since when you add both those it adds to 3
so multiply each by 4 to get 4 cups of blue paint and 8 cups of red paint
Answer:
$2.64
Step-by-step explanation:
9 coins are pennies (reply to my comment if you want to know how I got it)
19 coins are dimes (reply to my comment if you want to know how I got it)
9 (pennies) + 4 = 13 (nickels)
$1.90 (dimes) + $0.09 (pennies) + $0.65 (nickels) = $2.64
We have been given the expression to be 
Since we need to find the tangent at a point, we will have to find the derivative of 
as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.
Thus, we have to find 
We will use the product rule of derivatives to find 
Thus, 
(using the product rule which states that 
)
Taking the common factors out we get:
Thus, 
at 
is given by:
=Slope of the tangent of y at x=4=
Thus, 
Now, the equation of the tangent line which passes through 
and has slope m is given by:
Thus, the equation of the tangent line which passes through 
and has the slope 185 is
Which can be simplified to 
Thus, 
This is the required equation of the tangent.
