Answer:
f(x) = x^2 - 3x - 28
Step-by-step explanation:
The root -4 corresponds to the factor (x + 4); the root 7 corresponds to (x - 7). The equation is thus f(x) = (x + 4)(x - 7) = x^2 - 3x - 28, or
f(x) = x^2 - 3x - 28
<span>
The correct answer is: Option (A) </span>

<span>
Explanation:
If both lines are parallel, then their slopes must be equal.
For the line PQ, the slope is:
Slope of PQ = </span>

--- (1)
For the line P'Q', the slope is:
Slope of P'Q' =
Slope of P'Q' =

--- (2)
As (1) = (2), hence the lines are parallel and their slope is

(Option A).
To figure this question out, we first need to figure out how much one pound of potatoes costs. To do this, we need to divide 18 by 8, and in this, we get $2.25. Then, we have to multiply this by 15 to find out how much 15 pounds of potatoes costs. This gives us $33.75, which is our answer to this question.
A polygon inscribed in a circle, luckily, has a derived formula already. It is:
A = (nr²/2)[sin (360/n)]
where n is the number of sides of the polygon and r is the radius of the circle. For this problem, n = 100 and r = 1. Substituting this to the equation,
A = (100(1)²/2)[sin (360/100)]
A = 3.14 square units
Thus, the 100-gon has an area of 3.14 square units.
Answer:
Step-by-step explanation:
cos θ=sinθ
divide by cos θ
1=tan θ
tan θ=1=tan 45,tan (180+45)
θ=45°,225°