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SpyIntel [72]
4 years ago
15

Solve please 4x^2+ 8xy - 60y^2

Mathematics
1 answer:
Stells [14]4 years ago
7 0
4x^2+ 8xy - 60y^2 =48x^3y^3
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What is the center of the circle? Please show steps!
Vika [28.1K]

Answer:

<h2>A. (0, 4)</h2>

Step-by-step explanation:

The equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the equation:

x^2+(y-4)^2=25\\\\(x-0)^2+(y-4)^2=5^2

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4 years ago
7/6 divided by 2 in simplest form
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Here is your question: 7/6 divided by 2.

= 7/6÷2 = 7/6 * 1/2 =.

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6 0
3 years ago
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Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 8exyz, (0, 0, 8
Dima020 [189]

Let f(x,y,z)=x+y+z-8e^{xyz}. The tangent plane to the surface at (0, 0, 8) is

\nabla f(0,0,8)\cdot(x,y,z-8)=0

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\nabla f(x,y,z)=\left(1-8yze^{xyz},1-8xze^{xyz},1-8xye^{xyz}\right)

so the tangent plane's equation is

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The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by t, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

(1,1,1)t+(0,0,8)=(t,t,t+8)

or x(t)=t, y(t)=t, and z(t)=t+8.

(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)

4 0
3 years ago
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yaroslaw [1]
It would be a. 8/9 because for every 8/9 boy, there is 1 girl. To check this work, you can do 8/9 x 18 which equals 16.
5 0
3 years ago
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What set of lengths forms a right triangle?
Leni [432]
The answer is C. 50 in, 48 in, 14 in

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