If lines are paralel, then they have the same slope
if the lines are pependicuilar, the slopes mutiply to -1
so
y=mx+b
m=slope
and
ax+by=c
-a/b is the slope
given
y=2/3x-2
slope is 2/3
x+y=4
slope is -1/1 or -1
2/3≠-1 and -1 times 2/3≠-1 so they are neither perpendicular or paralell
since they aren't paralell, we know they intersect somewhere
        
             
        
        
        
Change the fraction into a decimal
        
                    
             
        
        
        
Answer:
   80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
   xy +y +2x + 2 -xy = 30
   2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
   x +y = 18
and subtracting this from the above equation gives ...
   (2x +y) -(x +y) = 28 -18
   x = 10
Then
   y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
 
        
             
        
        
        
ANSWER:
D. - 1 / 2
This is as 104 ÷ - 52 = - 1 / 2
As well as this, - 52 ÷ 26 = - 1 / 2
And this ratio applies for the other numbers in the sequence as well.
Therefore, the answer must be - 1 / 2.
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Answer:
a- x = 5/3, or x = -7/2
b- 675
c - 5·x + 2
Step-by-step explanation:
The polynomial representing the capital of the two partners = 6·x² + 11·x - 35
a. The total share is the capital of the two partners together = 6·x² + 11·x - 35
∴ When their total share is equal to 0, we have;
6·x² + 11·x - 35 = 0
Factorizing the above equation with a graphing calculator gives;
(3·x - 5)·(2·x + 7)
Therefore;
x = 5/3, or x = -7/2
b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;
When x = 10
6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675
The total expenditure of Vicky and Micky when x = 10 is 675
c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2