For this case we need a line parallel to the plane x z and yz. And by definition of parallel we see that the intersection between the xz and yz plane is the z axis. And we can take the following unitary vector to construct the parametric equations:

$u= (u_x, u_y, u_z)= (0,0,1)$

Or any factor of u but for simplicity let's take the unitary vector.

Then the parametric equations are given by:

$x= P_x + u_x t$

$y= P_y + u_y t$

$z= P_z + u_z t$

Where the point given $P=(2,3,4)= (P_x , P_y, P_z)$

And then since we have everything we can replace like this:

$x= P_x + u_x t 2+ 0*t = 2$

$y= P_y + u_y t= 3+ 0*t = 3$

$z= P_z + u_z t = 4+ 1t = 4+t$

$x=2, y=3, z=4+t$

6 0

3 years ago

What is the quadratic equation of the curve of best fit shown below

Kisachek [45]

First off, we know that the y-interecept is 2, so there is going to be a plus two in the final equation. Now with the two answers input the number 8 to see which will output 6.

6 = 1/12(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/12 + 2
6 = 16/3 + 6/3
6 does not equal 22/3

6 = 1/16(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/16 + 2
6 = 4 + 2
6 = 6
This means that y = 1/16 x^2 + 2 is the correct answer. I hope that helps!

4 0

3 years ago

Explain algebraically using properties of logs how log(100x) is related to log(x)

DIA [1.3K]

Log(100x)=log(100)+logx

4 0

3 years ago