P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is 
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
Let y represent number of miles between the two cities and x represent number of cm between both cities.
We have been given that on a map of North Carolina, 27 centimeters represents 18 miles. We are asked to determine the equation that would calculate the number of miles between the two cities, y, when they measure x centimeters apart.
We will use proportions to solve our given problem.
Upon substituting our given values in above equation, we will get:
Now we will multiply both sides by x.
Therefore, our required equation would be and 1st option is correct choice.
It is just asking for you to convert 3/4 in 84ths. This means it wants the denominator to be 84. So multiply both the top and bottom by what gets you 84. In this case, multiply both by 21. So 3/4•(21/21)=63/84
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using simultaneous equations to solve this problem.
Let's establish the two equations we will be using to solve the problem.
Let Andrew's current age = a
Let Andrew's son's current age = s
Equation No. 1 -
a = 3s
Equation No. 2 -
a - 10 = 5s
To begin with, we will substitute the value of ( a ) from the first equation into the second equation to solve for ( s ).
Equation No. 2 -
a - 10 = 5s
( 3s ) - 10 = 5s
3s - 5s = 10
- 2s = 10
s = 10 / - 2
s = - 5
Next we will substitute the value of ( s ) from the second equation into the first equation to solve for ( a ).
Equation No. 1 -
a = 3s
a = 3 ( - 5 )
a = - 15
FINAL ANSWER:
Therefore, the present age of Andrew is - 15 and the present age of Andrew's son's is - 5.
It isn't possible for someone to be negative years old, but this is the answer that I ibtained from the equations.
Hope this helps! :)
Have a lovely day! <3
