<u>Answer</u>
≈ 11.1803398874989485
<u>Detailed Explanation </u>
We will be using the distance formula for this problem

Now, let's input the numbers into the formula.

Solve.
Therefore, the distance between the two points is
≈ 11.1803398874989485
Answer:
The equation of the quadratic function shown is;
x^2+ 2x -3
Step-by-step explanation:
Here in this question, we need to know the quadratic equation whose graph was shown.
The key to answering this lies in knowing the roots of the equation.
The roots of the equation are the solution to the quadratic equation and can be seen from the graph at the point where the quadratic equation crosses the x-axis.
The graph crosses the x-axis at two points.
These are at the points x = -3 and x = 1
So what we have are;
x + 3 and x -1
Multiplying both will give us the quadratic equation we are looking for.
(x + 3)(x-1) = x(x -1) + 3(x-1)
= x^2 -x + 3x -3 = x^2 + 2x -3
Answer:
Independent Events
Step-by-step explanation:
Given
Required
Dependent or independent event
The probability of selecting a green jelly remains unchanged before and after selecting the first orange jelly.
<u>Before selecting the orange jelly:</u>


<u>After selecting the orange jelly:</u>


Because the probabilities remain unchanged, the selection of a green jelly is independent of the selection of the first orange jelly.
Check the picture below.
so the rectangular prism, or that box, is really just 6 rectangles stacked up to each other at the edges, notice
front and back are just two 9x5 rectangles
left and right are just two 5x4 rectangles
top and bottom are just two 9x4 rectangles
get the area of all 6, sum them up, and that's the area of the box.