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3 years ago

1

Mathematics

2 answers:

natulia [17]3 years ago

3 0

Answer:

Step-by-step explanation:

112-18-16=78

Ipatiy [6.2K]3 years ago

3 0

Answer:

Correct answer is 2/3.

Step-by-step explanation:

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Where is the n?

Eva8 [605]

There isn’t one unless I’m blind

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3 years ago

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If (x + y)^2 = 105 and x^2 + y^2 = 65, what is the value of xy?

lesya692 [45]

$\boxed { \boxed {(a + b)^2 = a^2 + 2ab + b^2}}$

$(x + y) ^2 = 105$

$x^2 + 2xy + y^2 = 105$

$x^2 + y^2 + 2xy = 105$

$\text{Given that } x^2 + y^2 = 65,$

$65 + 2xy = 105$

$2xy = 105 - 65$

$2xy = 40$

$xy = 20$

$\boxed { \boxed {\text{Answer: xy = 20}}}$

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3 years ago

Determine if the side lengths could form a triangle. Use an inequality to prove your answer.

podryga [215]

9514 1404 393

Answer:

a) no

b) yes

c) maybe (no)

Step-by-step explanation:

There are two versions of the triangle inequality. One requires ...

a + b > c

for any triple of side measures a, b, c.

The other allows ...

a + b ≥ c

which admits "triangles" that have zero height and look like line segments.

Most questions asking "do these lengths form a triangle" are concerned with the "greater than" case, and disallow the "or equal to" case.

$16+21=37\ngtr39\qquad\text{not a triangle}$

$27+34=61>58\qquad\text{could be a triangle}$

$9+29=38\ge38\qquad\text{could be a triangle if "equal to" is allowed}$

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3 years ago

How to rewrite 2+2+2+2+2 into a multiplication problem?

inna [77]

Answer:

2 x 5

Step-by-step explanation:

Think of it as "the value 2 is being added together 5 times" being added together so it could be written as 2 times 5.

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The costs of 2 sound systems were decreased by $10. The original costs of the systems were $90 and $60. Without calculating, whi

bezimeni [28]

The 60$ system had a greater percentage decrease because it was a lower number to begin with. Taking the same portion out of two different numbers will always be a greater decrease for the lower number.

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