You take the reciprocal of the original slope and negate it
Answer:


Step-by-step explanation:
Given
12 feet = _____ yard
4 miles = ____ feet
To start with;
we need to understand the unit of conversion between the two measurements;
1. 12 feet = _____ yard
To convert from feet to yard;

This implies that;



2. 4 miles = ____ feet
To convert from miles to feet;

This implies that;


Answer:
-6
Step-by-step explanation:
Some nasty order of operations coming up.
Firstly, deal with that squared:
-12 / 3 * (-8 + 16 - 6) + 2
Simplify the bracket:
-12 / 3 * 2 + 2
Simplify -12 / 3:
-4 * 2 + 2
Simplify -4 * 2:
-8 + 2
Simplify:
-6
2(7/2)^x = 49/2
Divide both sides by 2:
(7/2)^x = 49/4
I notice that 49/4 can be rewritten as (7/2)^2, so we now have:
(7/2)^x = (7/2)^2
The only way for this to be true is if x = 2. Thus, we are done.
Answer:
<u><em>30cm</em></u>
Step-by-step explanation:
Given data
When are square is cut diagonally into two parts
The resulting shape is a triangle
hence the area of the square = 50+50 = 100cm^2
The length of each side of the square = √100= 10cm
likewise the diagonal of the square = 10cm
<u><em>Hence the perimeter of the resulting triangle= 10+10+10= 30cm</em></u>