The correct answer is 4a^2 + 3ab
In order to find this, we can write the equation out as described and then follow the order of operations.
3a^2 - 2ab + 3b^2 - (-a^2 - 5ab + 3b^2) ----> Distribute the negative
3a^2 - 2ab + 3b^2 + a^2 + 5ab - 3b^2 ----> Combine like terms
4a^2 + 3ab
Since VX is the bisector of angle V and < VXU is a right angle then UX is congruent to XW and triangle VUW is isosceles with VU = VW.
3z - 4 = x + 6
2z = 10
z = 5
so UW = 3(5) - 4 + 5 + 6 = 22
and VW = 5(5) - 1 = 24
VU = VW = 24
perimeter = 2(24) + 22 = 70
The tangent ratio is
tan(38°) = opposite/adjacent = (height of cliff)/(distance to base)
Multiplying the equation by the denominator gives
height of cliff = (80 ft)*tan(38°) ≈ 62.5 ft
Answer:
Step-by-step explanation:
A)
The parallelogram area formula is b*h just like a square but the height is the distance from the base to the parallel top .. not the side length.. that's the only difference.
the base is x+4
total area is 5x+20
so use those in our formula
area = b*h
5x+20 = x+4 * h now solve for h (yes we'll have an x in the other side, but that's okay b/c their formulas do also)
(5x + 20) / (x+4) = h
B)
area = b*h
8x-24 = b*8
(8x-24)/8 = b
8x/8 - 24/8 = b
x -3 = b
C)
area = b * h
12x + 6y = 6 * h
(12x + 6y) / 6 = h
12x/6 + 6y/6 = h
2x + y = h
voila you're don :)
