Answer:
The volume is 196 cubic yards
Step-by-step explanation:
Given
Required
The volume
The volume is given as:
Where:
So, the equation becomes
Which is a quadratic function having a leading coefficient of 3 and a constant term of –12? f(x) = –12x2 3x 1 f(x) = 3x2 11x – 1
1 answer:
The correct option is b.
<h2>Quadratic Equation</h2>A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
<h2>Leading coefficient </h2>The leading coefficient of an equation is a coefficient of the term having the highest power in the equation.
Given options:
a.)
b.)
c.)
d.)
As it is given that the leading coefficient of the equation is 3. therefore, the value of the 'a' in the general quadratic equation is 3,
3x²+bx+c,
Also, the value of the constant is -12, therefore, the value of c is -12,
3x²+bx-12
From all the given options the only feasible option is b only.
Hence, the correct option is b.
Learn more about Quadratic Equation:
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Answer:
km
Step-by-step explanation:
The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of km and
km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle,
, where
and
are the lengths of the triangle's legs and
is the length of the triangle's hypotenuse. In this case, we know what
and
are, and we need to solve for c, so after substituting the given values of
and
into
to solve for c, we get:
(Substitute
and
into the equation)
(Evaluate the squares on the LHS)
(Simplify the LHS)
(Symmetric Property of Equality)
(Take the square root of both sides of the equation)
(Simplify)
is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately
km away from its base. Hope this helps!