Answer:
f(x) = -5x +48
Step-by-step explanation:
A fairly easy way to write the equation of the perpendicular line is to swap the x- and y-coefficients, negating one of them. Then choose the constant in the equation to make it true at the given point.
<h3>Swapped coefficients</h3>
In this instance, we find it convenient to leave the coefficient of y as positive.
5y = x -10 . . . . . . original equation
y = -5x +c . . . . . . with coefficients swapped, x-coefficient negated
<h3>New constant</h3>
At the given point, the equation becomes ...
8 = -5(8) +c
48 = c . . . . . . . add 40
<h3>Equation of the perpendicular line</h3>
The equation of the line is then ...
y = -5x +48
f(x) = -5x +48 . . . . . . in functional notation
Good luck to Jonathan. I hope he gets his sport set soon.
Answer:
3(2x-5y) = 3(-1)
2(-3x+2y)= 2(7)
6x-15y = -3
-6x +4y = 14
now, add the two equations
0x - 11y = 11
divide both sides by -11
y = -1
insert -1 in for y in either original equation and solve for x.
2x -5(-1) = -1
2x +5 = -1
2x +5 -5 = -1 -5
2x = -6
2x ÷2 = -6 ÷2
x= -3
<h3>Answer: 12</h3>
Explanation:
When you divide by 5, the possible remainders are one of these numbers {0,1,2,3,4}. So it's the set of whole numbers from 0 to one less than 5.
This means the largest value of A is A = 4.
Similarly, the largest value of B is B = 8 because the possible remainders when dividing by 9 are {0,1,2,3,4,5,6,7,8}.
Therefore, the largest possible value of A+B is 4+8 = 12.
208 because the denominator stays the same and you multiply by that.