Area of the polygon defined by the given points is 62.5 sq units
Step-by-step explanation:
Step 1 :
Let P be the point (-5,0) Q = (0,-5), R = (-15,-20) and S = (20,-15)
We have to to find the area of the polygon PQRS
Step 2 :
The area of polygon given the vertices (x
is given by
Area = mod (
) ÷ 2
Where
is the vertex n's x coordinate ,
is the vertex n's y coordinate
Substituting the corresponding values ,
Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75) ) ÷ 2
= mod (25-75+0-75) ÷ 2
= mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units
Step 3 :
Answer :
Area of the polygon defined by the given points is 62.5 sq units
The answer is 6 People. You make the two equations first 12.99x and 8.99x+20. And then make them equal each other 12.99x = 8.99x+20. Then you use algebra to solve for the x and you get an answer of 5. That is the number of people that would cause the two prices to break even (be the same price). So in order for the group rate to be the better deal you need 6 people to attend.
Answer:
The value of X is 11
X=11
Step-by-step explanation:
Isolate the variable by dividing each side by the factors that don't contain the cariable.
Answer:
1. $20280
2. 117 h
Step-by-step explanation:
1.
to know the value of the car we have to add all the monthly payments with the $ 3000 that she paid at the beginning
x = car value
x = $3000 + 48 * $360
x = $3000 + $17280
x = $20280
The total cost of the car is $20280
2.
To know how many hours I work in total we have to add the hours I work in each day 5 times with the 57 hours I work the following week
x = hours that work in all
x = 5 * 12 + 57
x = 60 + 57
x = 117
work for 117 hours in all
2(-3-7)+5= <span>2(-10)+5= -20 + 5= -15
-15 is your final answer</span>