The expression for the area of a rectangle is given by:
A = (w) * (l)
Where,
l: long
w: width
the length is two less than twice the width:
l = 2w-2
Substituting the values:
420 = (w) * (2w-2)
We rewrite the expression:
210 = (w) * (w-1)
210 = w ^ 2-w
w ^ 2-w-210 = 0
The roots of the polynomial are:
w1 = -14
w2 = 15
We discard the negative root.
Width:
w = 15
Long:
l = 2w-2
l = 2 (15) -2
l = 30-2
l = 28
Answer:
the dimensions of Rosa's garden are:
w = 15 feet
l = 28 feet
-4x + 10y = -4
10y = 4x - 4
y = 2/5 x - 2/5 so slope = 2/5
-2 - 2x = 5y
5y = -2x - 2
y = -2/5 x - 2/5 so slope = -2/5
the slope is opposite so the lines are intersecting
answer is A.
Answer:
C
Step-by-step explanation:
y = 2.5 x - 57
y = Profit: 143
143 = 2.5 x - 57 Add 57 to both sides
143 + 57 = 2x - 57 + 57 Combine like terms
200 = 2.5 x Divide by 2.5
200/2.5 = 2.5x/2.5
x = 80 plants
Answer:
S = 2π(36) + 2π(6)(8)
S = 2(3.14)(36) + 2(3.14)(6)(8)
Step-by-step explanation:
The surface area of a cylinder is the sum of the area of the base and the lateral area. A cylinder has 2 circular base .
Surface area = 2πr² + 2πrh
surface area = 2πr(r + h)
where
r = radius
h = height
surface area = 2πr(r + h)
r = 6 cm
h = 8 cm
The equation to find the surface area is represented below.
Surface area = 2πr² + 2πrh
S = 2π (6²) + 2π (6)(8)
S = 2π(36) + 2π (6)(8)
Assuming π is given as 3.14 the equation will be as follows
S = 2(3.14)(36) + 2(3.14)(6)(8)
