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Sergio [31]
3 years ago
10

Find two positive numbers whose difference is 13 and whose product is 230

Mathematics
2 answers:
Kazeer [188]3 years ago
8 0

Answer:

23 and 10

Step-by-step explanation:

23 - 10 = 13

23 * 10 = 230

Korvikt [17]3 years ago
8 0

Answer:

10 and 23

Step-by-step explanation:

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A right triangle has one leg that is 12 units long and a hypotenuse that is 15 units long. Find the length of the other leg
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Let a be the <span>other leg.
</span>
By the Pythagorean theorem:

a= \sqrt{15^2-12^2}= \sqrt{225-144}= \sqrt{81}=9 \ units
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Solve for n please, with work , thank you!
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\huge \boxed{\mathfrak{Question} \downarrow}

\sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )

  • Solve the inequality algebraically.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )

  • Use the distributive property to multiply -4 by 2n-8.

\sf1-3n>-1-8n+32

  • Add -1 and 32 to get 31.

\sf1-3n>31-8n

  • Add 8n to both sides.

\sf1-3n+8n>31

  • Combine -3n and 8n to get 5n.

\sf1+5n>31

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\sf5n>31-1

  • Subtract 1 from 31 to get 30.

\sf5n>30

  • Divide both sides by 5. As 5 > 0, the direction of the inequality remains the same.

\sf \: n>\frac{30}{5}  \\

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\boxed{ \boxed{ \bf \: n>6 }}

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8^13

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Which expressions are equivalent to the given expression? Select two options.
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Answer : The two correct options are,

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The given expression is:

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First we have to open the brackets.

⇒ -2.4a - 1.8b + 3.8a + 4.4b +2.0a + 3.0b

Now keep like terms together.

⇒ -2.4a + 3.8a +2.0a + 3.0b - 1.8b + 4.4b

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⇒ 5.6b + 3.4a

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