Answer:
y= x+1
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Gradient of line =
Using the above formula,
Gradient
Thus m=1. Substitute m=1 into the equation:
y= 1x +c
y= x +c
Susbt. a coordinate.
When x=3, y=4,
4= 3 +c
c= 4-3
c=1
Thus, the equation of the line is y= x+1.
<u>Answer:</u>
The equation that has solutions 6 and -6 is
<u>Solution:</u>
We have to find which equation has the solutions 6 and -6.
We have been given three equations.
--- eqn 1
-- eqn 2
---- eqn 3
The 6 and -6 to satisfy any of these equations they have to be the roots of the equation.
This means that when we substitute 6 and -6 in any of the equations and then solve them the answer on simplification should be 0.
This condition should individually be satisfied by both 6 and -6 for any one of the equations.
Now let us try and substitute 6 and -6 in eq1.
Now, substituting 6 in eq1.
62-12×6+36=0
Now we simply the equation to check is the LHS is equal to the RHS of the equation.
LHS:
72-72=0
RHS: 0
Since LHS=RHS it is the root of the equation.
Now we check if -6 satisfies eq1.
-62-12×-6+36=0
LHS:
72+72=144
RHS: 0
Hence LHS is not equal to RHS, -6 is not the root of eq1.
Similarly we check for eq2
Checking for 6 and -6 we get
LHS is not equal to RHS hence this does not satisfy eq2.
Now in the same way we check for eq3
LHS=RHS for both 6 and -6 hence they are the solutions for eq3.
Hence the equation that has solutions 6 and -6 is
Answer:
Option C. a number to the third power divided by ten
Step-by-step explanation:
Let
g-----------> a number
we have
we know that
---------> represent a number to the third power
therefore
-------> represent a number to the third power divided by ten