Answer:
The constant proportionally of the graph is:
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
here 'k' is called the constant of proportionality.
From the graph, it is clear that:
at x = 0.5, the value of y = 4
so substituting x = 0.5 and y = 4 in the equation
k = y/x
k = 4/0.5
k = 8
at x = 1, the value of y = 8
so substituting x = 1 and y = 8 in the equation
k = y/x
k = 8/1
k = 8
Therefore, the constant proportionally of the graph is:
Answer:
(x,y) = (
,
)
Step-by-step explanation:
We have to find point of intersection of two lines.
the given equations of line are:
10x - 4y = 43 - (1)
-3x - 3y = -15 - (2)
Multiplying the first equation by 3 we have:
(10x - 4y = 43)×3 = 30x - 12 y = 129 - (3)
Multiplying second equation by 10 we have :
(-3x - 3y = -15)×10 = -30x -30y = -150 - (4)
Now, adding equation (3) and (4) we have:
-42y = -21
⇒ y = 
Now, putting this value of y in equation (1), we have
10x - 2 = 43
⇒ 10x = 45
⇒x = 
Hence, the intersection of given two lines is (x,y) = (
,
)
Answer:
x = 2 or 3
Step-by-step explanation:
Diagonal of a rhombus bisects the vertex angles. So,


Lets factorise the eqn.



Here x will have 2 values.
1) 

2) 
