Answer:
The transformation

maps triangle XYZ onto triangle X”Y”Z”.
Step-by-step explanation:
Let us take point Z on the XYZ triangle and see what sequence of transformations we have to apply to map it into the point Z''.
Now Z = (-2, 2) and Z'' = (-7, -1).
The x-coordinate goes from -2 ⇒ -7.
The y-coordinate goes from 2 ⇒ -1.
The x-coordinate is just shifted by -5; thus,
, and the y-coordinate first transforms as
, and is then shifted by 1; thus, it transforms as
.
So we have the full transformation

Width =3.5, length = 4
Let's make a few equations to summarize what we know.:
a = 14
l = 2w -3
a = wl
Now let's substitute the expression for l into the expression for area and solve.
a = w(2w - 3)
a = 2w^2 - 3w
14 = 2w^2 - 3w
0 = 2w^2 - 3w - 14
which factors into
(2w - 7) (w + 2)
Solving for w
2w - 7 = 0
2w = 7
w = 3.5
w+2 = 0
w = -2
So w can be either 3.5 or -2. Since a negative width doesn't make sense, w = 3.5
Let's verify
w = 3.5
l = 2w - 3
l = 2*3.5 - 3
l = 7 - 3
l = 4
a = wl
a = 3.5 * 4
a = 14
So the width is 3.5 and the length is 4.
Answer:
10:12:15
Step-by-step explanation:
a/b=5/6
b/c=4/5
thus
c/b=5/4
LCM of 4 and 6=12
5/6=10/12
5/4=15/12
b is the 12 in both
thus ratio between a:b:c is 10:12:15
i can reply in comments if more explanation is needed
Hey!
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Product means multiplication.
-2/7 * -3/6 = -6/42 = -1/7
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Hence, the answer is 
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Hope This Helped! Good Luck!