Answer:
C = -6
Step-by-step explanation:
1 +-7 =-6:::::::::::::::::::
Answer:
48
Step-by-step explanation:
120 divided by 2.5 = 40
From a reliable source, the ratio between the width and the length of the tennis court is equal to 5:12. We let x be the common factor of the given ratio such that the width is equal to 5x and the length is equal to 12x.
The perimeter of the figure is calculated through the equation,
P = 2L + 2W
where P is the perimeter, L is the length, and W is the width.
Substituting the derived expressions to the equation above.
228 = (2)(12x) + 2(5x)
x = 114/17
The width and length are calculated below.
Width = (5)(114/17) = 570/17 ft = 33.53 ft
Length = (12)(114/17) = 1368/17 ft = 80.47 ft
Thus, the dimensions are approximately 33.53 ft and 80.47 ft.
we have that
a number greater than 3
possible favorable results are
4, 5, 6
Probability that the event occur=3/6
Proba
Answer:
Step-by-step explanation:
Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k
For the x coordinates:
C' = kC
x' = kx
-2 = k(-6)
-2 = -6k
Divide both sides by -6
k = -2/-6
k = 1/3
For the y-coordinates:
y' = ky
3 = 9k
Divide both sides by 9:
3/9 = 9k/9
1/3 = k
k = 1/3
Hence the scale factor of the dilation is 1/3
