Answer:
see the explanation
Step-by-step explanation:
Let
A (1,6)------> location Brianna's house on a map
B (5,3)------> location Jordan's house on a map
we know that
One possible path from Brianna's house to Jordan's house it's a straight line ( the shortest distance)
using a graph tool
see the attached figure
<em>Find the distance points AB</em>
the formula to calculate the distance between two points is equal to

substitute the values




The distance from Brianna's house to Jordan's house is 5 units
Even numbers on die: 2,4,6
odd numbers on die: 1,3,5
3+3=6 -> 6 numbers in total
3/6 chance because there are 3 even numbers. This would round to 1/2, so 1/2 a chance the die will roll an even number.
Answer:

Step-by-step explanation:
Given

Required
The surface area
This is calculated as:

So:




Answer:
3
Step-by-step explanation:
The measure of the slope is
at x = a
Differentiate using the power rule
(a
) = na
Given
y = x³ - 1, then
= 3x²
The slope at (1, 0) is
= 3(1)² = 3
This is the formula:
Arc length = 2(3.14)(3)(60/360)
18.84(60/360)
18.84 x 0.16 = 3
The length of the arc = 3