Step-by-step explanation:
x is -9
hope it helps!:)
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 :)
Answer:
L = 70
W = 32
Step-by-step explanation:
P = 2L + 2W
P 204 feet
W = x
L = 2x + 6
P = 2L + 2W
P = 2*(2x + 6) + 2*x
P = 4x + 12 + 2x
P = 6x + 12
But we know that P = 204 So 6x + 12 = 204
6x + 12 = 204 Subtract 12 from both sides
6x + 12 - 12 = 204 - 12 Collect like terms on the right
6x = 192 Divide by 6
x = 192/6
x = 32
Answer
W = 32
L = 2*W + 6
L = 2*32 + 6
L = 64 + 6
L = 70
Answer:
Step-by-step explanation:
LHS = Sin² ∅ + Sin² ∅*tan² ∅
= Sin² ∅ [1 + tan² ∅ ] {Sec² ∅ - tan² ∅ = 1}
= Sin² ∅ *Sec² ∅
= Sin² ∅ * 
= Sin² ∅ /Cos² ∅
= tan² ∅ = RHS
