Use the shell method. The volume is
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> - 5) <em>x</em> ² d<em>x</em>
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> ³ - 5<em>x</em> ²) d<em>x</em>
<em>V</em> = 2<em>π</em> (1/4 <em>x</em> ⁴ - 5/3 <em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 (3<em>x</em> ⁴ - 20<em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
<em>V</em> = 891<em>π</em>/2
Answer:The answer is 25 units.
Step-by-step explanation:
here, ∡ABC=∡ACB
so, the given triangle is an isosceles triangle.
this means side AB and side AC are equal
so, you can write 4x+4=6x-14
solving this equation, we get x=9
finally, BC=2x+7=2*9+7=25
Answer:
-4 + -4x
Step-by-step explanation:
Simplifying
3x + -7x + -4
Reorder the terms:
-4 + 3x + -7x
Combine like terms: 3x + -7x = -4x
-4 + -4x
B hope this helped have a nice day! =D
Oh yes 4x5 is another answer so yep god I forgot that sorry!
Solution:
We are given with the two numbers=32 and 96
Product of the given numbers=
But Rosa rewrites the 96 as a sum or difference of two numbers and uses the distributive property
As we know, the Distributive property is 
Now, 
So, option 'd' is correct
