Answer:
The sum of a and b is 12.
Step-by-step explanation:
Try drawing this figure. ABCD would actually be a triangle, rather than the common quadrilateral you would expect - considering there are 4 points plotted. Therefore, we would have to find the distance between respective points ( 0, 1 ) and ( 2, 5 ) / ( 2, 5 ) and ( 7, 0 ) / ( 0, 1 ) and ( 7, 0 ). Let's apply the distance formula and calculate the distance between each point, therefore determining the perimeter.
Distance between points ( 0, 1 ) and ( 2, 5 )
= 
= 
= 
= 
= 
Distance between points ( 2, 5 ) and ( 7, 0 )
= 
= 
= 
= 
= 
And you can calculate the distance between points ( 0, 1 ) and ( 7, 0 ) to be exactly as well. Therefore, you can say that the perimeter of this triangle is 
= 
. Note that this is similar to the form we are given. Thus, a = 10, and b = 2 - making it's sum 10 + 2 = 12.
Answer:
2x - 19
Step-by-step explanation:
"Twice a number x" means the (missing) number is called x. Write "2x" which means multiply "x" by 2.
"Minus 19" is -19.
Together, the expression is 2x - 19.
We know that:
Antrim's Population = 4 × Concord's Population
Antrim's Population = 2 × Bennington's Population
Antrim's Population + Concord's Population + Bennington's Population = 140,000
Let Antrim's Population be x, Bennington's be y, and Concord's be z. Substituting the values in the above equations, we get:
x + y + z = 140,000
We know x = 4 × z and x = 2 × y
Substituting values of y and z in terms of x
x + 
+ 
= 140,000
⇒ 
× x = 140,000
⇒ x = 80,000
and y = 80,000 ÷ 2 = 40,000 and z = 80,000 ÷ 4 = 20,000
Hence, Benington's population is y = 40,000
It will last 24 days. If you think, a gallon has 16 cups.
So...
in total there are,
cups = 16
half cups = 8
so 16 + 8 = 24
1. 4
2. absolute value
3. x - coordinate
4. 17
6.543
