Answer:
16.24 Units
Step-by-step explanation:
The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula
Length = √(x2 - x1)^2 + (y2 - y1)^2
Considering the pair (-1, 2), (3, 1), the length of that side
= √(3 -- 1)^2 + (1-2)^2)
= √(16 + 1)
= √17 units
Considering the pair (-1, 2), (7, 2), the length of that side
= √(7 -- 1)^2 + (2-2)^2)
= √(64)
= 8
Considering the pair (3, 1), and (7, 2), the length of that side
= √(7 - 3)^2 + (2 - 1)^2
= √(16 + 1)
= √17
Hence the perimeter of the triangle
= √17 + 8 + √17
= 4.12 + 8 + 4.12
= 16.24 Units
Answer:

Step-by-step explanation:
Given

Interval: (-2,4)
Required
Determine the average rate of change
This is calculated using:

Where:

So, we have:



Calculate g(4) and g(-2)


So:



<em>Hence, the average rate of change is 1</em>
Answer:
A; ?; Line 3
Step-by-step explanation:
Question 1:
-30 divided by -6 is 5.
The negatives cancel each other out.
And 30 divided by 6 is simply 5.
Question 2:

Do the operation inside the parenthesis first:

Divide. 12 does not go into 62 evenly. 12 times 5 is 60, so the answer is 5 remainder 2:

Or in fractions:

(Was there a typo? From what you've given me, the correct answer is not listed.)
Question 3:
So we have to following steps:

The mistake is in Line 3. Danny cannot just combine 5+6(2) into 11(2). Instead, he should multiply 6(2) and then add. Thus, the correct solution is:

Answer:
x = 7 and y = 5
Step-by-step explanation:
Given a parallelogram: opposite sides are =
5x - 5 = 3x + 9
2x - 5 = 9
2x = 14
x = 7
Given a parallelogram: the diagonals bisect each other.
5y = 7y - 10
-2y = -10
-2y/2 = -10/-2
y = 5