√196s² = √196 times √s²
s² is the square of 's'
196 is the square of 14
So both can easily come out of the radical.
√196s² = <u>14s</u>
Answer:
0<x<1
Step-by-step explanation:
(x+3)(x−4)<−12
FOIL
x^2 -4x+3x -12 <-12
x^2 -x -12 <-12
Add 12 to each side
x^2 -x -12+12 <-12+12
x^2 -x <0
Factor out an x
x(x-1) <0
Using the zero product property
x(x-1) =0
x=0 x-1=0
x=0 x=1
Check the ranges
x<0
x(x-1) <0
- * - >0
False
0<x<1
x(x-1) <0
+ * - <0
True
x>1
x(x-1) <0
+ * + >0
False
Answer:
ANS: 1 - D
ANS: 2 - B
ANS: 3 - A
ANS: 4 - D
Step-by-step explanation:
Try this suggested option (all the details are in the attachment), the correct orientation is marked with red and green colours.
P.S. The point C has coordinates: (3;1). If to traslate it 6 units right and 5 units down, then (3+6;1-5) ⇒ (9;-4). The same principle is for the others points A, B and D. Note, after translation point A is point E, B⇒F, C⇒G and D⇒H.
If your given slope is - 35, your equation starts off as y = - 35x + b
Now we plug in the point given and solve for b.
- 3 = - 35(6) + b
- 3 = - 210 + b
207 = b
So your equation is:
y = - 35x + 207
