Answer:
The solutions are a₁ = -4/19 i, a₂ = 4/19 i and a₃ = -1/4
Step-by-step explanation:
Given the equation 76a³+19a²+16a=-4, for us to solve the equation, we need to find all the factors of the polynomial function. Since the highest degree of the polynomial is 3, the polynomial will have 3 roots.
The equation can also be written as (76a³+19a²)+(16a+4) = 0
On factorizing out the common terms from each parenthesis, we will have;
19a²(4a+1)+4(4a+1) = 0
(19a²+4)(4a+1) = 0
19a²+4 = 0 and 4a+1 = 0
From the first equation;
19a²+4 = 0
19a² = -4
a² = -4/19
a = ±√-4/19
a₁ = -4/19 i, a₂ = 4/19 i (√-1 = i)
From the second equation 4a+1 = 0
4a = -1
a₃ = -1/4
Answer:
Width of 6ft and length of 9ft
Step-by-step explanation:
The sandbox has a ratio of 2:3. If you plug the numbers in with the ratio, you can find the actual dimensions.
Let x be the length
Let y be the width
(Length)
2in / 3ft = 6in / (x)ft
2in / 3ft = 6in / <u><em>9ft </em></u>
(Width)
2in / 3ft = 4in / (y)ft
2in / 3ft = 4in / <em><u>6ft</u></em>
Answer:
5/9 cubic yards
Step-by-step explanation:
Just so L*W*H=24(36)(30)= 25920 cubic inches=25920 (1 in*1 in* 1 in)
36 in=1 yd
so
1 in =1/36 yd
do divide 25920 by (36*36*36)
The answer in cubic yards is 5/9 cubic yards
The surface area of a rectangular prism is measured by multiplying length, width, and height:
a = l•w•h
4 • 5 • 15
20 • 15 = 300
So the area of this rectangular prism is 300<span>in².</span>
