Answer:
(5,38)
Step-by-step explanation:
Use graphing calculator and the answer should be the point where the line crosses each other.
Answer:
<em>The side length of the new square is 24 ft.</em>
Step-by-step explanation:
<u>Dilations</u>
A dilation is a transformation that produces a new image that is the same shape as the original but of a different size.
A dilation stretches or shrinks the original figure. To describe a dilation it's usually included the scale factor (or ratio) and the center of the dilation.
We have a square with a side length of 36 ft. When this square is dilated by a scale factor of 2/3, the new square will have a side length of 36*2/3= 24 ft.
The side length of the new square is 24 ft.
(a) Use u = -∇z(2, 5)/||∇f(2, 5)||
= -<-4x, -4y>/||<-4x, -4y>|| {at (2, 5)} <span>
= <8, 20>/√((-8)^2 + (-20)^2)
<span>= <2, 5>/√29
(b) Du f(2, 5) = ∇z(2, 5) · u </span><span>
= ∇z(2, 5) · -∇z(2, 5)/||∇f(2, 5)|| </span><span>
= -||∇z(2, 5)||^2 / ||∇f(2, 5)|| </span><span>
= -||∇z(2, 5)|| </span><span>
<span>= -4√29</span></span></span>
