The point A has coordinates (1, 1) and the point B has coordinates (5, k).
The line AB has equation 3x+4y=7.
a. (i) show that k=2
(ii) hence find the coordinates of the mid-point of AB
b. (i) find the gradient of AB
c. The line AC is perpendicular to the line AB.
(i) Find the gradient of AC.
(ii) Hence find an equation of the line AC.
(iii)Given that the point C lies on the x-axis, find its x-coordinate.
Part II
The line L has equation y+2x=12 and the curve C has equation y=x^{2} -4x +9.
(i) Show that the x-coordinates of the points of intersection of L and C satisfy the equation x^{2} - 2x - 3 = 0
(ii) Hence find the coordinates of the points of intersection of L and C

welll its a very hard question but ill

step-by-step explanation:

first you take the 6 dollars and add 10 to it then add the 50 to that then multiply by 8 with xy and your answer will be

hope this

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

i think its a and d

step-by-step explanation:

it's d

step-by-step explanation: