Raettttttrrrrrrrrrrrrrrrr
Solution:
The given equation is
Now we will factor the middle term as per the ac-method because the given equation is a quadratic equation.
Answer:
length = 7 meters
Step-by-step explanation:
l = length
w = width
w = 3×l - 6
l×w = 105 m²
l×(3×l - 6) = 105
3×l² - 6×l = 105
l² - 2×l = 35
l² - 2×l - 35 = 0
solution of a squared equation is
(-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = -2
c = -35
(2 ± sqrt(4 - 4×-35))/2 = (2 ± sqrt(4+140))/2 =
(2 ± sqrt(144))/2 = (2 ± 12)/2 = 1 ± 6
l1 = 1+6 = 7 meters
l2 = 1-6 = -5 meters, which did not make any sense for an actual object.
so, l = 7 meters remains.
Solution:
<u>Note that:</u>
- 2πrh + 2πr² = Area of cylinder formula
- Radius = 4 m
- Height = 8 m
<u>Finding the surface area:</u>
- 2πrh + 2πr²
- => 2(π)(4)(8) + 2(π)(4²)
- => 64π + 2(π)(16)
- => 64π + 32π
- => 96π m²
1) add 8x on both sides
3y=12+8x
2)divide by 3 to solve for y
y=4+8/3x
y=8/3x+4
8/3x is the slope, 4 is the y-intercept
