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gayaneshka [121]
3 years ago
14

Find the inverse of the following function f(X)=12X-4

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0

Answer:

y=(x+4)/12

Step-by-step explanation:

f(x)=12x-4

To find the inverse follow these steps:

1.) Make f(x) y so y=12x-4

2.) Switch x and y

so, x=12y-4

3.) solve for y

add 4 to the other side and then divide by 12 to get y by itself.

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1. Write a two-column proof.
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Answer:

Check it below, please

Step-by-step explanation:

Hi there!

Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.

Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.

Statement                     Reason

\overline{AB} \cong \overline{AC}\\                     Given

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8 0
3 years ago
Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa
Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) :x^2+y^2+4z^2=36

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

\nabla f(x,y,z)=\\\nabla f(x,y,z)=

So, The directions vectors=(-4,2,8)

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So, 2x=-4\lambda

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Substitute the value of x , y and z in the ellipsoid equation

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z=2

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x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

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Step-by-step explanation:

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