I end up with 625pi(27^2-14^2)
=635pi(504)
=315000pi lb-ft
Answer:
Step-by-step explanation:
245000 last year
This year 25235
(y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
(( £25.235 - £24.500) / £24.500) * 100 = 0 %
There ain't no percentage change as there needs to be a bigger difference between the two numbers plus u should use the formula
Answer:
A. right 2, up 3
Step-by-step explanation:
We have that,
The function
is transformed to
.
We see that,
The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).
So, the correct transformation is 'right 2, up 3'.
Hence, option A is correct.
Answer:
k = 11.
Step-by-step explanation:
y = x^2 - 5x + k
dy/dx = 2x - 5 = the slope of the tangent to the curve
The slope of the normal = -1/(2x - 5)
The line 3y + x =25 is normal to the curve so finding its slope:
3y = 25 - x
y = -1/3 x + 25/3 <------- Slope is -1/3
So at the point of intersection with the curve, if the line is normal to the curve:
-1/3 = -1 / (2x - 5)
2x - 5 = 3 giving x = 4.
Substituting for x in y = x^2 - 5x + k:
When x = 4, y = (4)^2 - 5*4 + k
y = 16 - 20 + k
so y = k - 4.
From the equation y = -1/3 x + 25/3, at x = 4
y = (-1/3)*4 + 25/3 = 21/3 = 7.
So y = k - 4 = 7
k = 7 + 4 = 11.