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Lady_Fox [76]
2 years ago
9

What value of c makes the equation true? assume x greater-than 0 and y greater-than 0 rootindex 3 startroot startfraction x cube

d over c y superscript 4 baseline endfraction endroot = startfraction x over 4 y (rootindex 3 startroot y endroot) endfraction
Mathematics
1 answer:
elixir [45]2 years ago
3 0

The value of c = 64 makes the equation true.

<h3>What is an Equation ?</h3>

An equation is defined as the mathematical statement formed when  two algebraic expression are equated by an equal sign.

It is given in the question that

x> 0 and y>0

\rm \sqrt[3]{\dfrac{x^3}{cy^4} }= \dfrac{x}{4y\sqrt[3]{y}}\\\\\\{\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^3 \times y} \\\\\\\\\\\therefore\; from \;this \\\\c= 64\\

The value of c = 64 makes the equation true.

To know more about Equation

brainly.com/question/10413253

#SPJ1

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Rewrite the quadratic function in vertex form.<br> Y=3x^2-12x+4
chubhunter [2.5K]

Answer:

\large\boxed{y=3(x-2)^2-8}

Step-by-step explanation:

The vertex form of an equation of a parabola y = ax² + bx + c:

f(x)=a(x-h)^2+k

(h, k) - vertex

h=\dfrac{-b}{2a},\ k=f(h)

We have the equation:

y=3x^2-12x+4\\\\a=3,\ b=-12,\ c=4

Substitute:

h=\dfrac{-(-12)}{2(3)}=\dfrac{12}{6}=2\\\\k=f(2)=3(2^2)-12(2)+4=3(4)-24+4=12-24+4=-8

Finally:

y=3(x-2)^2+(-8)=3(x-2)^2-8

4 0
3 years ago
The figure below shows a right rectangular prism whose base is a square.
xxTIMURxx [149]

Answer:

The intersection of the horizontal plane with the prism would have a square shape.

Step-by-step explanation:

A right rectangular prism is one in which each side makes an angle of 90^{0} with its base, which is a square. It is a three dimensional figure with six faces.

The point where the horizontal plane and the prism coincides would take the shape of the base of the prism. This is because the prism rests with its base on the horizontal plane. Thus, the shape required is in the form of a square since its base is a square. The length and width of its base are equal.

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Answer:

I'll setup the problem and you can compute the answer

Step-by-step explanation:

The formula for simple:

I = P*r*t

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Step-by-step explanation:

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