Answer:

Step-by-step explanation:
The directrix of the parabola is the horizontal line with the eqaution
The focus of the parabola is at point (-4,10), than the axis of symmetry of the parabola is the perpendicular line to the directrix passing through the focus. Its equation is
The distance between the directrix and the focus is
so
and the vertex is at point 
Parabola goes in positive y-direction, hence its equation is

where
is the vertex, so the equation of this parabola is

Answer:
y = 3/4x + 7
Step-by-step explanation:
Put it in point-slope form:
y - 4 = 3/4(x - -4)
y - 4 = 3/4(x + 4)
y - 4 =3/4x + 3
y = 3/4x + 7
I think its: A
PLZ tell me if am wrong
Answer:
Yes, it is.
Step-by-step explanation:
When alternate interior angles (∠ABC and ∠BCD) are congruent, it means the lines are parallel.
Answer:
Z = -1.333
P-value = 0.09176
Decision Rule: Reject
if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
Step-by-step explanation:
Given that:
The sample size of the poll = 1068
The proportion of voters that preferred Democratic candidate is
= 0.48
To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5
The null hypothesis and the alternative hypothesis can be computed as:


Using the Z test statistics which can be expressed by the formula:





Z = -1.333
P-value = P(Z< -1.33)
From z tables,
P-value = 0.09176
The level of significance ∝ = 0.05
Decision Rule: Reject
if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.