Answer:
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Step-by-step explanation:
ANSWER
Emma is 44" tall
EXPLANATION
We have that David cast a shadow 42 inches long and he is 66 inches tall.
At that same place and time, Emma cast a shadow of 28 inches.
Since they are at the same spot and time, we can conclude that the ratio of their height to shadow must be the same.
Let Emma's height be x.
The ratio of David's shadow to height is:
42 : 66 or 42 / 66
For Emma, it is:
28 : x or 28 / x
That means that:
So, Emma is 44" tall.
Answer:
x + 2.6 = 10.4
x = 7.8
Step-by-step explanation:
If 2.6 liters are added to x liters with the result that 10.4 liters then exist, the model is ...
2.6 +x = 10.4 . . . . . . . 2.6 added to x gives 10.4
The commutative property of addition lets you rewrite this to ...
x +2.6 = 10.4
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Subtracting 2.6 from both sides of the equation gives its solution:
x +2.6 -2.6 = 10.4 -2.6
x = 7.8
Answer:(X+Y)²
X²+Y² would be greater than X²-Y² since addition gives a greater result than subtraction.
X²+Y² would be greater than 2(X+Y); this is because 2(X+Y) = 2X+2Y, which will be less than X²+Y², since X>Y.
(X+Y)² = (X+Y)(X+Y). This can be simplified using the distributive property:
X(X)+X(Y)+Y(X)+Y(Y) = X²+XY+YX+Y² = X²+2XY+Y². This is greater than X²+Y².
