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Step-by-step explanation:
<span>Solution:
We have:
length = a = 3x
</span><span>width = b = x
</span>height = h = 2x
<span>area of the base of the prism = c
</span>volume of the prism = v = 2058 cm³
Use: c = (3x)(x)
c = 3x²
Use: v = (3x²)(2x)
v = 6x³
2058 = 6x³
6x³ = 2058
x³ = 2058 / 6
x³ = 343
x = ∛343
x = 7
a = 3x
a = 3(7)
a = 21
b = x
b = 7
h = 2x
h = 2(7)
h = 14
c = 3x²
c = 3(7)²
c = 3(49)
c = 147
a = 21 cm
b = 7 cm
h = 14 cm
c = 147 cm²
Answer:
2x+73+56x31
Step-by-step explanation:
correct me
Answer: 290 cubic meters
Step-by-step explanation: First, find the volume of each figure. 3 x 6 x 5 = 90, and 5 x 5 x 8 = 200. 90 + 200 = 290
Answer:
<h3>The given set of polynomials f(x) and g(x) are closed under subtraction.</h3>
Step-by-step explanation:
Given that the functions f ad g are defined by
and
respectively.
<h3>To show that the set of polynomials is closed under subtraction :</h3>
Now subtract the given polynomials


∴ 
- When subtracting the polynomials the variables and their exponents remains same only variation in their coefficients.
<h3>Hence the given polynomials f(x) and g(x) are closed under subtraction.</h3>
∴
are closed under subtraction,
Hence showed.