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BabaBlast [244]
3 years ago
13

Simplify:

0%7By%7D%5E%7B4%7D%20" id="TexFormula1" title="x ^{4} - {x}^{2} {y}^{2} + {y}^{4} " alt="x ^{4} - {x}^{2} {y}^{2} + {y}^{4} " align="absmiddle" class="latex-formula">
x4-x2y2+y4​
Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

{x}^{4}  -   {x}^{2} {y}^{2}  +  {y}^{4}  \\  {x}^{4}  +  {y}^{4}  -  {(xy)}^{2}

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Answer:

A

Step-by-step explanation:

We are given a parabola with a vertex point of (2, 1) and a <em>y-</em>intercept of <em>y</em> = 4.

And we want to determine another point on the parabola.

Recall that a parabola is symmetric along the axis of symmetry, which is the <em>x-</em>coordinate of the vertex.

Note that since the <em>y-</em>intercept of the parabola is <em>y</em> = 4, this means that a point on our parabola is (0, 4).

To get from (2, 1) to (0, 4), we move two units left and three units up.

Since the parabola is symmetric along axis of symmetry, another point on the parabola will be two units right and three units up. This yields (2 + 2, 1 + 3) or (4, 4).

Our answer is A.

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2 years ago
Decide whether this situation is looking for the​ part, the​ percent, or the whole. 14 compact cars are 56% of the cars sold tha
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Step-by-step explanation: I don’t know

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Est form. Lessons 3-5)<br> 2<br> 9
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Find the derivative of the function at P 0 in the direction of A. ​f(x,y,z) = 3 e^x cos(yz)​, P0 (0, 0, 0), A = - i + 2 j + 3k
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The derivative of f(x,y,z) at a point p_0=(x_0,y_0,z_0) in the direction of a vector \vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k is

\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}

We have

f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k

and

\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}

Then the derivative at p_0 in the direction of \vec a is

3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}

3 0
3 years ago
Jessica wants to buy a new chair that has a regular price of $75.00 this week the chair will be on sale at a 12% discount how mu
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Answer: $9.

Step-by-step explanation:

It is given that,

Regular price of a new chair = $75.00

This week the chair will be on sale at a 12% discount. So,

Rate of discount = 12%

We need to find the amount of money that will Jessica save if she buys the chair this week.

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Discount=75\times \dfrac{12}{100}

Discount=9

Therefore, Jessica will save $9 if she buys the chair this week.

8 0
3 years ago
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