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sammy [17]
3 years ago
9

What expression are equivalent to -56z + 28

Mathematics
1 answer:
sveta [45]3 years ago
8 0

Answer:

-28(2z - 1)

Step-by-step explanation:

Looking at the coefficients -56 and 28 in -56z + 28, we see that -28 is common to both and can be factored out:

-56z + 28 = -28(2z - 1).

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Can someone help? Thanks! :)
sukhopar [10]

Answer:

<em>The second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>

Step-by-step explanation:

We can't confirm the length of these diagonals based on the appearance of the figure, so let us apply Pythagorean Theorem;

This diagonal divides each figure ( square + rectangle ) into two congruent, right angle triangles ⇒ from which we may apply Pythagorean Theorem, where the diagonal acts as the hypotenuse;

5^2 + 5^2 = x^2 ⇒ x is the length of the diagonal,

25 + 25 = x^2,

x^2 = 50,

x = √50

Now the same procedure can be applied to this other quadrilateral;

3^2 + 7^2 = x^2 ⇒ x is the length of the diagonal,

9 + 49 = x^2,

x^2 = 58,

x = √58

<em>Therefore the second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>

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