Lisa's cut will be represented by the equation y = 1/4x + 4
Answer:
<h2>f( - 1) = - 4</h2>
Step-by-step explanation:
f(x) = 3x - 1
To find f(-1) substitute the value of x that's
- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve
That's
f( - 1) = 3(-1) - 1
= - 3 - 1
We have the final answer as
<h3>f(-1) = - 4</h3>
Hope this helps you
Answer: Union of two sets.
Explanation: "An element is in the union of two sets if it is in the first set, the second set, or both. The symbol we use for the union is ∪ . The word that you will often see that indicates a union is "or".
Your Welcome :-)
The general form of a parabola when using the focus and directrix is:
(x - h)² = 4p(y - k) where (h, k) is the vertex of the parabola and 'p' is distance between vertex and the focus. We use this form due to the fact we can see the parabola will open up based on the directrix being below the focus. Remember that the parabola will hug the focus and run away from the directrix. The formula would be slightly different if the parabola was opening either left or right.
Given a focus of (-2,4) and a directrix of y = 0, we can assume the vertex of the parabola is exactly half way in between the focus and the directrix. The focus and vertex with be stacked one above the other, therefore the vertex will be (-2, 2) and the value of 'p' will be 2. We can now write the equation of the parabola:
(x + 2)² = 4(2)(y - 2)
(x + 2)² = 8(y - 2) Now you can solve this equation for y if you prefer solving for 'y' in terms of 'x'
Given:
A right rectangular prism is packed with cubes of side length 
inch.
Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.
To find:
The volume of the prism
Solution:
Side length of each cube 
inch.
15 cubes along the length, so length of prism is
6 cubes along the width, so width of prism is
5 cubes along the height, so height of prism is
Now,
Volume of rectangular prism is
Therefore, the correct option is B.
