The y intercept is 3 then do y/x so go up one over 3 for each other point
Answer: It decreases
Step-by-step explanation:
Theoretically, let's say n = 15
15 + 15 = 30
Now, let's use 14, because 14<15
14 + 15 = 29
So, the value decreases as n decreases
The point (8,2,9) is in the first octant.
The closest distance from the coordinate planes is the value y=2, which will therefore be the maximum radius of the required sphere.
The standard equation of a sphere with radius r and centre (u,v,w) is given by
(x-u)^2+(y-v)^2+(z-w)^2=r^2
Substituting r=2, u=8, v=2, w=9, we get the equation of the required sphere
(x-8)^2+(y-2)^2+(w-9)^2=2^2
Answer: SECOND OPTION.
Step-by-step explanation:
For this exercise it is important to remember "Rigid transformations".
Rigid transformations are those transformation that preserves length. These are the following:
- Reflection.
- Tanslation.
- Rotation.
According to the information given in the exercise, the triangle JKL was translated 12 units vertically and then reflected over the y-axis to create triangle J'K'L'. Therefore, JKL and J'K'L' are congruent.
Knowing the above, you can set up the following equation:

The final step is to solve for "x" in order to find its value. You get that this is:
