Answer:
6.3
Step-by-step explanation:
You can find the distance with a distance formula (need the points and it has a big, long square root) BUT, when you have an image like this graph you can totally see a right triangle and use the Pythagorean Theorem (distance formula is derived from Pythagorean theorem anyway) see image
Answer:
.
Step-by-step explanation:
As we know ,
The slope of a line that passes through
and
is given by :

The slope of a line that passes through (1 , 7K), and (-3,5K) =

Hence, the slope of the given line is
.
Answer:
Total number of chairs in the restaurant = 160.
Step-by-step explanation:
Total number of tables in the restaurant = 50
It is given that 40% of the tables have 2 chairs at each table.
40% of 50 = 
= 20
So, 20 tables have 2 chairs at each table.
Number of chairs required for 20 tables = 20 × 2 = 40
Remaining 60% of the tables have 4 chairs at each table.
60% of 50 = 
= 30
So, 30 tables have 4 chairs at each table.
Number of chairs required for 30 tables = 30 × 4 = 120
Hence, total number of chairs in the restaurant = 40 + 120 = 160.
(2 5/6):2 = (2 5/6) * 1/2 = (12/6 + 5/6)*1/2 = 17/6*1/2 = 17/12 = 1 5/12
Answer:
x=1
Step-by-step explanation:
5x + 2 = 3x + 4(2x - 1)
Distribute the 4
5x + 2 = 3x + 8x - 4
Combine like terms
5x + 2 = 11x - 4
Subtract 5x from each side
5x -5x + 2 = 11x - 5x - 4
2 = 6x-4
Add 4 to each side
2+4 = 6x-4+4
6 = 6x
Divide each side by 6
6/6 =6x/6
1= x