Graph of y = -3/2x - 7 has a slope of -3/2.
For perpendicular lines the product of the slopes is -1.
m1m2 = -1
-3/2m2 = -1
m2 = -1/(-3/2) = 2/3
The required equation,
y - (-2) = 2/3(x - 3)
y + 2 = 2/3x - 2
y = 2/3x - 4
Answer:
-42
Step-by-step explanation:
-2y = 46
y = 46/ -2
y = -23
Substitute y in y = 4x-11
-23 = 4x -11
-23+11 =4x
-12 = 4x
x = -12/4
x = -3
Now plug in x value in 14x
14(-3) = -42
Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
8x + 2 < 6x - 9
8x - 6x < -9 -2
2x < -11
x < -11/2
Answer:
-3a-12
Step-by-step explanation:
3(-2a-4)+3a
-6a-12+3a
-6a+3a-12
-3a-12
Answer:
FALSE, (2, 9) is not a solution to the set of inequalities given.
Step-by-step explanation:
Simply replace x by 2 and y by 9 in the inequalities and see if the inequality is true or not:
irst inequality:

so thi inequality is verified as true since 9 is larger or equal than 8
Now the second inequality:

This is FALSE since 9 is larger than 4 (not smaller)
Therefore the answer to the question is FALSE, (2, 9) is not a solution to the set of inequalities given.