Id say the answer is 41 because 12+15=27+14=41, so, 41 is your answer for the people in chorus who ages are between 29 and 50
Hey there! I'm happy to help!
Imagine the line that is created when you connect the two points (the distance between the two points).
You can create a right triangle where this distance is the hypotenuse where the two legs are the change in x and y. So, if you take those changes in x and y, you can use the Pythagorean Theorem (a²+b²=c²) to find the distance between the two points, which is the hypotenuse.
Our change in x is 9 because 9-0 is 9.
We square it
9²=81
Our change in y is 5 as -1-(-6) or -1+6 is 5.
5²=25
We add these.
81+25=106
We square root and round to the nearest tenth.
√106≈10.3
So, our distance is 10.3.
This Pythagorean Theorem method actually gives us a formula called the distance formula that you can use to find the distance between points.

Have a wonderful day and keep on learning! :D
Answer:
a). L=53+3 D.... equation
b). Total length of the road after the crew has worked 31 days=146 miles
Step-by-step explanation:
Step 1
Find an expression for calculating the total length of a the road as follows;
L=F+(M×D)
where;
L=total length of the road in miles
F=starting length of the road in miles
M=number of miles per day added
D=number of days the crew has worked
In our case;
L=unknown
F=53 miles
M=3 miles per day
D=unknown
L=53+(3×D)
L=53+3 D.... equation
Solve for L when D=31 days
L=53+(3×31)
L=53+93=146
Total length of the road after the crew has worked 31 days=146 miles
Answer:
C and E
Step-by-step explanation:
Substitute (- 6, 2) into the left side of each equation and if equal to the right side then that is a possible equation
A
2(- 6) - 3(2) = - 12 - 6 = - 18 ≠ - 6
B
4(- 6) - 2 = - 24 - 2 = - 26 ≠ 26
C
3(- 6) + 2(2) = - 18 + 4 = - 14 ← this is correct
D
- 6 - 2 = - 8 ≠ - 2
E
- 6 + 2 = - 4 ← This is correct
Thus the 2 possible equations are C and E