A) 5/2x^3-9/4x^2+7/2x-3/2
b) the ans. are not the same.
Answer:
4 square feet
Step-by-step explanation:
We can see that the dimensions of the hole in the carpet are 2ft by 2ft. All we have to do is find the area of that shape. Since the two side lengths are the same, and the shape appears to have 4 right angles in each of its corners, we can deduce that the shape is a square. We know that the area of a square can be found by multiplying the length and width measurements of the shape:
2ft * 2ft
= 4 ft²
Answer:
No
Step-by-step explanation:
Answer:
k can either be
12
or
−
12
.
Step-by-step explanation:
Consider the equation
0=x2+4x+4
. We can solve this by factoring as a perfect square trinomial, so
0=(x+2)2→x=−2 and−2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k2−(4×1×36)=0
k2−144=0
(k+12)(k−12)=0
k=±12
The arc length (s) is given in terms of the radius (r) and central angle (θ) by
s = r*θ . . . . . . . where θ is in radians
For your arc, the length is
s = (15 ft)*(π/4) ≈ 11.78 ft
_____
45° can be converted to radians by multiplying by π/180°.
45° * (π/180°) = π*(45/180) = π/4 . . . . radians
