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:
$\boxed{ 2y-x=-4}$
Answer:
C
Step-by-step explanation:
There are 6 units in the numberline, and 2 are shaded. So, 2/6 are shaded.
Answer:
45 people are members at the tennis club
Step-by-step explanation:
Let the number of people in the tennis club be denoted as "x".
Since each of them donated $12.45, then total donated = 12.45x
Since they had $50.25 left over after paying the cost of $510 for the ball, then;
12.45x - 510 = 50.25
12.45x = 510 + 50.25
12.45x = 560.25
x = 560.25/12.45
x = 45
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer:
answer is -3 just subtract 4 from each side
Step-by-step explanation:
