The answer is D. 486 i<span>n²</span>
Answer:
5y - 6x = 8 or y = 6x/5 + 8/5
Step-by-step explanation:
let M1= gradient of line AB and M2= gradient of the second line
When two lines are perpendicular, the product of their gradients is -1
i.e, M1M2= -1
M2= -1/M1
A(2,9) and B(8,4)
gradient= (y2-y1)/(x2-x1)
M1= (4-9)/(8-2)
= -5/6
M2= -1÷ -5/6
-1 × -6/5= 6/5
Equation of the line passing through C(-3,-2)
[y-(-2)]/[x-(-3)= 6/5
(y+2)/(x+3)= 6/5
5(y+2)= 6(x+3)
5y+10=6x+18
5y= 6x + 8
y= 6x/5 + 8/5
There exists a question that instead of >, the symbol used is ≥. Substitute the value of abscissas and ordinates of the points to x and y, respectively.
A. (1/4, 1) (3/2)(1) - 2(1/4) = 1 TRUE
B. (4, 1) (3/2)(1) - 2(4) = -6.5 FALSE
C. (1, 1/4) (3/2)(1/4) - 2(1) = -1.625 FALSE
D. (1, 0) (3/2)(0) - (2)(1) = -2 FALSE
E (1/4, 3/4) (3/2)(3/4) - (2)(1/4) = 0.625 FALSE
Thus, the answer is letter A.
