Answer:
Use the distance formula to find the length of each side, and then add the lengths.
Step-by-step explanation:
We are given the vertices of a quadrilateral in the coordinate plane.
We have to find the perimeter of the figure.
For doing so, we have to find the length of all the sides of a quadrilateral
The length of a line segment joining points (x1,y1) and (x2,y2) is given by the distance formula: 
after finding length of all the sides, we add the length of each side to get the perimeter.
Hence, the correct option is:
Use the distance formula to find the length of each side, and then add the lengths.
Answer:
1. 5 is a solution to the inequality
2. 8 is a solution to the inequality
3. q=20 is a possible solution to the inequality
4. t=28 is not a possible solution to the inequality
Step-by-step explanation:
1.
1+f<7
subtract 1 from both sides of the inequality;
f<7-1
f<6
The value of f should therefore be strictly less than 6. From the alternatives given only the number 5 meets this condition and is thus a solution to the inequality.
2.
g-3>4
add 3 to both sides of the inequality;
g>4+3
g>7
The value of g should therefore be strictly greater than 7. From the alternatives given only the number 8 meets this condition and is thus a solution to the inequality.
3.
q-2>16
add 2 to both sides of the inequality;
q>16+2
q>18
The value of q should therefore be strictly greater than 18. Consequently, q=20 is a solution to the inequality since;
20>18
4.
t-7<10
add 7 to both sides of the inequality;
t<10+7
t<17
The value of t should therefore be strictly less than 17. Consequently, t=28 is not a solution to the inequality since;
28 is not less than 17.
Answer:
Emma = 378 votes
Step-by-step explanation:
Carol = 189 votes
Emma = 2 * Carol
Substitute 189 in for Carol
Emma = 2 * 189
Emma = 378 votes
Hope this helps :)
Answer:
128 m^3
Step-by-step explanation:
The volume of the rectangular prism base is (8 m)(8 m)(10 m), or 640 m^3.
The triangular 'cap' has a base area of 64 m^2 and a height of 6 m, and thus a volume of (1/3)(64 m^2)(6 m) = 128 m^3
We have been given an expression 
. We are asked to choose the expressions, which are equivalent to our given expression.
Using exponent property 
, we can rewrite our given expression as:
Upon looking at our given choices, we can see that option D is the correct choice.
Let us simplify our given expression.
Upon cancelling out 
from numerator and denominator, we will get:
Using exponent property , we will get:
Therefore, option B is a correct choice as well.
