Answer:
a) the lines coincide, c) the slopes are equal, d) the y-intercept are equal, e) the system has an infinite number of solutions.
Step-by-step explanation:
Each equation is a multiple of the other one. Thus, the system of equation has an infinite of solutions, reports same slopes and y-intercepts and coinciding lines.
If

represent a family of surfaces for different values of the constant

. The gradient of the function

defined as

is a vector normal to the surface

.
Given <span>the paraboloid

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

The normal to the </span><span>paraboloid at any point is given by:

Also, the normal to the given plane

is given by:

Equating the two normal vectors, we have:
</span>

Since, -1 = 2 is not possible, therefore
there exist no such point <span>
on the paraboloid
such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>
.
Answer:
1.5
Step-by-step explanation:
of the similar shapes you are only given the lengths of two corresponding sides, 22mm and 33mm
if you do 33/22 you get 1.5 so your scale factor is 1.5
(in order to go from the original shape to the copy times by 1.5, and divide if you know the length of the copy and want to work out the original)