V=(1/3)hπr^2 where h=height and r=radius
given
radius=3
height=2a
r=3
h=2a
v=(1/3)hπr^2
v=(1/3)(2a)π(3)^2
v=(1/3)2aπ9
v=6aπ
so the expression would be some variaant of v=6aπ
It looks like the differential equation is

Multiply both sides by 1/(<em>x</em> + 1) :

The left side is now a derivative of a product,

Integrate both sides with respect to <em>x</em> :

Solve for <em>y</em> :

Answer:
The completed proof is presented as follows;
The two column proof is presented as follows;
Statements
Reason
1.
║
, J is the midpoint of
1. Given
2. ∠IHJ ≅ ∠JLK
2. Alternate angles are congruent
3. ∠IJH ≅ ∠KJL
3. Vertically opposite angles
4.
≅
4. Definition of midpoint
5. ΔHIJ ≅ ΔLKJ
5. By ASA rule of congruency
Step-by-step explanation:
Alternate angles formed by the crossing of the two parallel lines
and
, by the transversal
are equal
Vertically opposite angles formed by the crossing of two straight lines
and
are always equal
A midpoint divides a line into two equal halves
Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK
in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent
≅
, then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.
The first number would be 6 and the second would be 24
x+4x=30, in which x=6
Hope this helped :)
Answer:
x = -17/26
Step-by-step explanation:
4(7x - 1) = 3(2x + 1) - 4(x + 6)
distribute 4 through the parentheses (do 3 and -4 as well)
28x-4=6x+3-4x-24
collect like terms
28x-4=2x+3-24 --> 28x-4=2x-21
move the variable
28x-2x-4=-21
collect like terms
26x=-21+4 --> 26x=-17
then divide
hope this helps and makes sense! :)