The complete question in the attached figure
we know that
length side AB=8 units
length side DE=4 units
[ABC]=[DEF]*[scale factor]
then
[scale factor ]=[ABC]/[DEF]---------> 8/4--------> 2
the answer is
the scale factor for a dilation image of DEF to obtain ABC is 2
For this case we have that by definition, the volume of a cylinder is given by:

Where:
r: It is the radius of the cylinder
h: It is the height of the cylinder
We have as data, observing the figure, that they give us the radio. Then, the height is missing.
Answer:
Option B
Answer:
1. x=6
2. x=9
Step-by-step explanation:
1.

2.

<u>Written Explanation: </u>
1.
-2x(3x+9)=-54
-6x-`8=54 (Distributive property)
Add 18 to both sides
-6x=-36
Divide both sides by -6 (negative divided by a negative equals a positive)
x=6
2.
2(3x+4)-3x=35
6x+8-3x=35 (distributive property)
3x+8=35 (combine Iike terms and then subtract them 6x-3x=3x)
Subtract 8 from both sides
3x=27
Divide both sides by 3
x=9
A line passes through the points:
A ( - 4. - 1 )
B ( 1 1/2, 2 )
The point-slope form:
y = m x + b
m = ( 2-(-1)) / (3/2-(- 4)) = ( 2 + 1 ) / 3/2 + 4 ) = 3 / 11/2 = 6 / 11
2 = 6/11 * 3/2 + b
2 = 9/11 + b
b = 2 - 9/11 = 22/11 - 9/11 = 13/11
The equation in the slope-intercept form is:
y = 6/11 x + 13/11 / * 11 ( we will multiply both sides by 11 )
11 y = 6 x + 13
Answer :
A ) - 6 x + 11 y = 13