Answer:
x= -4
Step-by-step explanation:
distribute
combine like terms
subtract 4x from both sides
subtract 8 from both sides
divide both sides by -2
Answer:
4.123 units
Step-by-step explanation:
Data provided:
Coordinates of point 1 as ( 4 , 2)
and,
Coordinates of point 2 as ( 0 , 1 )
Now,
The distance between the two point whose coordinates are given is calculated using the formula as:
distance = 
on substituting the values, we get
distance = 
or
distance = 
or
distance = 
or
Distance = √17 = 4.123 units
The area of the sector which is the white triangle adding the shaded region is 68.9/360*π*9.28^2=51.78005(rounding to 5th digit after decimal point for accuracy before we do final round for answer)
The area of the white triangle in the sector has area 1/2*9.28^2*sin(68.9)= 40.17223(rounding to 5 digits again for some accuracy.
Now we take out the white triangle from the sector.
51.78005-40.17223=11.60782
rounding to the nearest tenth we get 11.6 cm^2
Problem done!
Hope this helped and if you have any questions about my explanation just ask in the comment and I will answer.
Answer:
Step-by-step explanation:
Option 1:
4(m + 12) = 4m + 48 (not what we want)
Option 2:
6m - 2m + 12 = 4m + 12 (one of the right answers)
Option 3:
4(m + 3) = 4m + 12 (one of the right answers)
Option 4:
3m - m + 12 = 2m + 12 (not what we want)
Therefore the correct answers are Option 2 and Option 3.
Answer:
-7 is the pattern in the sequence. In other words, we subtract 7 from the numbers.
Step-by-step explanation:
31 - 7= 24
24 - 7= 17
17 - 7= 10
We subtract 7 from 31 to get 24. We subtract 7 from 24 to get 17. We subtract 7 from 17 to get 10.