B is the only one that would not be perpendicular to the first line. The first line would have a point-slope intercept form of y=-6x+3 and so any line perpendicular to it would require a slope of 1/6. All of them have a slope of 1/6 except B, which has a slope of 6. Let me know if you need a complete show of work as I can show you the math behind my answer.
Answer:
2388.16 in³
Step-by-step explanation:
1) find volume of cylinder
formula: πr²h
given:
π = 3.14
r = 8/2 = 4 in
h = 9 in




2) find volume of cuboid
formula: length × width × height
given:
length = 16 in
width = 11 in
height = 11 in



total volume of figure
= volume of cylinder + volume of cuboid
= 452.16 in³ + 1936 in³
= 2388.16 in³
Answer:
Let's solve for a.
2(3x+4)=ax+b
Step 1: Flip the equation.
ax+b=6x+8
Step 2: Add -b to both sides.
ax+b+−b=6x+8+−b
ax=−b+6x+8
Step 3: Divide both sides by x.
ax
x
=
−b+6x+8
x
a=
−b+6x+8
x
Step-by-step explanation:
Answer:
Correct choice is B
Step-by-step explanation:
In step 4 were proved that 
By definition, similar triangles have proportional lengths of corresponding sides. To the side AB corresponds side ED, to the side AC corresponds side DC and to the side BC corresponds side EC. Thus,

Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (-
, 0) and (x₂, y₂ ) = (0,
)
m =
=
=
and c =
, then
y =
x +
( multiply through by 4 to clear the fractions )
4y = 2x + 3 ( subtract 4y from both sides )
0 = 2x - 4y + 3 , that is
2x - 4y + 3 = 0 ← equation of line