Use the pythagorean theorem A²+B²=C²
Use 21ft for A
Use 14ft for B
Then solve for C (the diagonal)
21²+14²=C²
441+196=C²
673=C²
√<u />673 = √C²
C≈25.24 or if you leave in radical form it is the square root of 637
Answer:
free points
Step-by-step explanation:
Answer:

Step-by-step explanation:
The surface area of a cylinder is equal to

Solve for h
That means ----> isolate the variable h
subtract 2πr² both sides

Divide by 2πr both sides

Rewrite

Simplify

Answer:
The answer to your question is: 16x + 3
Step-by-step explanation:
Step 1 : f(x) = 8x² + 3x
f(x +h) = 8(x + h)² + 3( x + h)
f(x + h) = 8( x² + 2xh + h²) + 3( x + h)
f (x + h) = 8x² + 16xh + 8h² + 3x + 3h
Step 2 f(x+h) - f(x) = 8x² + 16xh + 8h² + 3x + 3h - ( 8x² + 3x)
= 8x² + 16xh + 8h² + 3x + 3h - 8x² -3x
= 16xh + 8h² + 3 h
Step 3 f(x + h) - f(x)/ h = h(16x + 8h + 3) /h
= 16x + 8h + 3
Step 4 lim f(x + h) - f(x)/ h = lim 16x + 8h + 3 = lim 16x + 8(0) + 3 = 16x + 3
h ⇒0 h ⇒0 h ⇒0