Answer:
the solution of given rational equation is x= 3/2
Step-by-step explanation:
We need to solve the above rational equation and find value of x
Finding LCM of 4 and (2x-1) we get 4(2x-1).
Multiplying 4(2x-1) on both sides of equation and solving
So, the solution of given rational equation is x= 3/2
Answer:
112 ft square
Step-by-step explanation:
Perimeter=2l+2w
l=w+6
Perimeter=2(w+6)+2w
44=2w+12+2w
44=4w+12
32=4w
8=w
l=8+6
l=14
area=lw
area=14x8
area=112 ft square
The answer:
the main formula of the circle's equation is
(x-a)²+ (y-b)² = R²
where C(a, b) is the center of the circle
R is the radius
if a point A(x', y') passes through the circle, so the equation of the circle can be written as
(x'-a)²+ (y'-b)² = R², and that is a main formula.
<span>Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2), so we have exactly three equation:
</span>
(0-x)² + (0-y)² = R², circle O passes through A
x²+y²= R²
(-3 -x)² + (0-y)² = R², circle O passes through B
(-3 -x)² + (y)² = R²
(1-x)² + (2-y)² = R², circle O passes through A
(1-x)² + (2-y)² = R²
and we know that R= OA = OC= OB,
OA=R= sqrt( (0-x)² + (0-y)² ) = OB = sqrt((-3 -x)² + (0-y)²), this implies
x²+y² = (-3 -x)² + (0-y)² , it implies x² = 9+ x² + 6x , and then -9/6=x, x= -3/2
and when OA = OC
x²+y² =(1-x)² + (2-y)² so, x²+y² =1+x²-2x +4+y²-4y, therefore -5= -2x -4y
-5= -2x -4y, when x = -3 /2 we obtain y = 2
the center is C(-3/2, 2)
Answer:
v = Δs/Δt
Step-by-step explanation:
This: Δs is the change in speed or can also be the rate
This: Δt is the change in time
Answer: r=3v/2nh
Step-by-step explanation:
