Answer:
Check boxes 3, 4, 6, and 8.
Step-by-step explanation:
We have the equation:

And we want to select all equations that are perpendicular to the above equation.
Remember that perpendicular lines have slopes who are negative reciprocals of each other.
Therefore, the slope of our equations must be the negative reciprocal of -3.
The negative reciprocal of -3 is 1/3. We flipped -3 to -1/3, and then multiplied by a negative.
Therefore, any equation with a slope of 1/3 is perpendicular to our original line.
Therefore, we will check boxes 3, 4, 6, and 8.
4x^4+10x +8 =
4x^4+10x +8 ÷ 2 =
1/2x^4 +5x+4 is the distance from the gas station to Abletown
Answer:
x = - 8
Step-by-step explanation:
Calculate m using the slope formula and equate, since parallel lines have equal slopes.
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)
m =
=
and equating
=
( cross- multiply )
9(x + 4) = - 36 ( divide both sides by 9 )
x + 4 = - 4 ( subtract 4 from both sides )
x = - 8
slope = difference in y / difference in x
slope = 12 -11 / 2 -6
slope = 1 / -4
slope = -1 / 4 or
-.25
ANSWER
The vertex of the graph of

is

EXPLANATION
The vertex form of a parabola is given by

where

is the vertex of the parabola.
The function given to us is

This is already in the vertex form.
When we compare this to the general vertex form, we have,


and

Therefore the vertex of the parabola is

Hence the correct answer is option A.