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zvonat [6]
2 years ago
15

a positive real number is 4 less than anther of the sum of the squares of the two numbers is 72 then find the numbers.​

Mathematics
1 answer:
ZanzabumX [31]2 years ago
6 0

Answer:

3.657 and 7.657 to the nearest thousandth.

Step-by-step explanation:

x - y = 4

x^2 + y^2 = 72

From equation 1

x = y + 4 so

(y + 4)^2 + y^2 = 72

y^2 + 8y + 16 + y^2 - 72 = 0

2y^2 + 8y - 56 = 0

y^2 + 4y - 28 = 0

y = 3.657.

so x = 7.657.

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2 years ago
Evaluate the logarithmic expression Log subscript5^25 +log subscript 5^625/logsubscript5^100. The value of the expression, round
Lady bird [3.3K]
Hello !
Here are some rules for logarithms :    log ₐ b = n ⇔ aⁿ = b
                                                             log ₐ aⁿ = n
                                                             log ₐ (b·c) = logₐ b + log ₐ  c                                                                                                                  
                                                             log ₐ bⁿ = n· log ₐ b                                        ____________________________________________________
25=5²
625=5⁴
100 = 5² · 2²
____________________________________________________



(log₅ 25 + log₅ 625) / log₅100 =
 (log₅ 5²+ log₅ 5⁴) / log₅ (5² · 2²) =
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Answer : 9






3 0
3 years ago
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