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2 years ago

Help lol, show wurk cuz u know how teachers are these days

Mathematics

1 answer:

telo118 [61]2 years ago

5 0

Answer:

Infinitely many solutions (the lines are identical)

Step-by-step explanation:

Let's start by getting each equation into slope intercept form (y=mx+b)

-14x-14y=28

-14x-28=14y

-x-2=y

and

7x+7y= -14

7x+14= -7y

-x-2=y

We can see that these two lines are identical which means that there are an infinite amount of answers

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At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not

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If $f(x, y, z) = c$ represent a family of surfaces for different values of the constant $c$ . The gradient of the function $f$ defined as $\nabla f$ is a vector normal to the surface $f(x, y, z) = c$ .

Given the paraboloid

$y = x^2 + z^2$ .

We can rewrite it as a scalar value function f as follows:

$f(x,y,z)=x^2-y+z^2=0$

The normal to the paraboloid at any point is given by:

$\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\ \\ =2xi-j+2zk$

Also, the normal to the given plane $3x + 2y + 7z = 2$ is given by:

$3i+2j+7k$

Equating the two normal vectors, we have:

$2x=3\Rightarrow x= \frac{3}{2} \\ \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}$

Since, -1 = 2 is not possible, therefore there exist no such point on the paraboloid $y = x^2 + z^2$ such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2.

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3 years ago

3 folders cost $2.91

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Answer: E. None of the above

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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For this item, I assume that Svetlana's hair is 4 cm long and she wanted it to be at least 7 cm long.
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3 years ago

What is 2x + 5 = 12

yarga [219]

Answer:

x = 7/2 (or 3 1/2 or 3.5)

Step-by-step explanation:

2x + 5 = 12

2x = 7

x = 7/2 (or 3 1/2 or 3.5)

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