The correct answer is 18/30 which simplifies to 6/10. Hope this helps.
Answer: the length is 24m
The width is 6 m
Step-by-step explanation:
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the given rectangle is 60 meters. This means that
2(L + W) = 60
Dividing through by 2, it becomes
L + W = 60 /2
L + W = 30 - - - - - - - - - - - - - -1
The rectangular room is 4 times as long as it is wide. This means that
L = 4W
Substituting L = 4W into equation 1, it becomes
4W + W = 30
5W = 30
W = 30/5
W = 6
L = 4 × 6
L = 24
Answer: c=59 degrees.
Step-by-step explanation:
57 + d + 64 = 180
121 + d = 180
-121 -121
d = 59
Angle d is alternate interior to angle c so they are congruent.
Reflection over the y-axis = change 
Compress by a factor of k = multiply by k
So, in your case, we first change the sign of the argument. Note that this has no effect, because f(x) is symmetric with respect to the y-axis:
Then, we compress the function, multiplying it by the scaling factor:
We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
