The number of students of 7 more than 5 times the number of teacher. there are 12 theacher. how many students are there?
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The given equation is:
To find the line perpendicular to it, we interchange coefficients and switch the signs of one coefficient.
The equation to a line perpendicular to it is:
$ 2y-x=c$
where, $c$ is some constant we have determine using the condition given.
It passes through $(2,-1)$
Put the point in our equation:
$2(-1)-(2)=c$
$c=-2-2$
$c=-4$
The final equation is:
$\boxed{ 2y-x=-4}$
The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
Expand the expression
Factorize the above expression
Factor out 2t - 5 in the 2t - 5
Split the equation into 2
Rewrite as:
Solve for t
The value of t cannot be less than 0 i.e. negative.
So, we have
Divide 5 by 2
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at: