Answer:
the answer b
Step-by-step explanation:
[surface area]=[area of 4 triangles sides]+[area of square base]
[area of square base]=24*24--------> 576 cm²
[area of one triangles side]
l=slant height
l²=16²+12²-------> l²=400-----------> l=20 cm
[area of one triangles side]=24*20/2--------> 240 cm²
[area of 4 triangles sides]=4*240----------> 960 cm²
[surface area]=[960]+[576]--------> 1536 cm²
If you can rewrite the formula as (x-a)² + (y-b)² = r², the center is at (a,b) and the radius is r.
If you work out this equation, and map it to the original, you will find that the +4x term hints that a = 2 (double product) and -12y hints that b=-6, and r=6.
So, the formula can be written as (x+2)² + (y-6)² = 6² and the center is at (-2,6) and the radius is 6.
Answer:
A: 2x-5
B: -9(x+1)
Step-by-step explanation:
Answer:
(-24, -8)
Step-by-step explanation:
Let us recall that when we have a function f

<em>if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing</em>. That is

at the point (x,y) gives the direction of maximum rate of increasing

at the point (x,y) gives the direction of maximum rate of decreasing
In this case we have

and we want to find the direction of fastest speed of decreasing at the point (-3,-2)

at the point (-3,-2) minus the gradient equals

hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.