Answer: definition of slope
Step-by-step explanation:
The results in step 7 come from substituting the coordinates into the slope formula.
Using law of cosines:
Cos(angle) = adjacent/ hypotenuse
Cos(22) = 12/x
Rewrite to get:
X = 12/cos(22)
Simplify:
X = 12.9424
Round the answer as needed.
Answer:
For 
we will have positive values only.
Rest are positive so will give positive values out of the modulus function.
Step-by-step explanation:
The absolute value of any number is its positive value only.
As for example 
and 
both are having equal distance from 
in a number line, one on the left other on the right side of the number line but are equidistant from .
So absolute value of a number is its distance on number line from reference point .
One by one we will work with all of our question.
So we have to take the positive number out of the modulus function that is also called absolute value.
Answer:
L = 68 ft
Step-by-step explanation:
To find the perimeter of something you need to add up all the sides
In this case I am assuming Sam's property is a square/rectangle
- Which means the formula for the perimeter is P = 2L + 2W
If L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l
- 216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us
- 216 = 4W - 24 + 2W → combing like terms gives us
- 216 = 6W - 24 → adding 24 to both sides gives us
- 240 = 6W → dividing both sides by 6 gives us
- 40 ft = W
With the width being solved, we can now plug that value into our length equation
- L = 2(40) - 12 → distributing the 2 to the 40 gives us
- L = 80 - 12 → combing like terms give us
- L = 68 ft
