Answer:

Step-by-step explanation:
1. 
2. 
3. 
Answer: 6x+6
Step-by-step explanation:
3*2x=6x
3*2=6
Therefore 3(2x+2) = 6x+6
Answer:
x=21/5
Step-by-step explanation:
5x:9 = 7:3
Turn the ratios into fractions:
5x/9 = 7/3
Then cross mutiply
15x=63
x=21/5
Answer:
Step-by-step explanation:
where f(x) is replaced by y
Take Laplace on both sides

We can resolve into partial fraction to get Y = L(y)
Let this equals

Solving we get
s=-9
24C = 10 or C =5/12
s=-2: A=10/12=5/6
s=-4: B = -5/4
Taking inverse Laplace

(3,0)(0,4)
slope = (4 - 0) / (0 - 3) = -4/3
A perpendicular line will have a negative reciprocal slope. So our perpendicular line has a slope of 3/4
y = mx + b
slope(m) = 3/4
(-6,-5)....x = -6 and y = -5
now sub into the formula and find b, the y int
-5 = 3/4(-6) + b
-5 = -18/4 + b
-5 + 18/4 = b
-20/4 + 18/4 = b
-2/4 = b
so ur perpendicular line is : y = 3/4x - 2/4....or 3x - 4y = 2
and ur point (6,4) lies on the perpendicular line <===