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ryzh [129]
2 years ago
5

What is the slope of the line?

Mathematics
1 answer:
IrinaK [193]2 years ago
3 0
M = -8/5

hope this helps :)
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If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy​
Free_Kalibri [48]

Answer:

See Explanation

Step-by-step explanation:

log(x + y) = log3 +  \frac{1}{2} logx+  \frac{1}{2} logy \\  \\ log(x + y) = log3 +    logx ^{\frac{1}{2}} +   logy ^{\frac{1}{2}}\\  \\  log(x + y) = log3 +    log(xy) ^{\frac{1}{2}} \\  \\ log(x + y) =  log[3(xy) ^{\frac{1}{2}}] \\  \\ x + y = 3(xy) ^{\frac{1}{2}} \\  \\ squaring \: both \: sides \\  {(x + y)}^{2}  =  \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2}  \\  \\  {x}^{2}  +  {y}^{2}  + 2xy = 9xy \\  \\  {x}^{2}  +  {y}^{2}  = 9xy - 2xy \\  \\   \purple{ \bold{{x}^{2}  +  {y}^{2}  = 7xy}} \\ thus \: proved

7 0
3 years ago
Read 2 more answers
a rectangular prism has a volume of 4,212 cubic yards, width 2 yards, and length 27 yards find it’s height in yards
weqwewe [10]

Answer:

height = 78 yd

Step-by-step explanation:

<u>Formula</u>

Volume of a rectangular prism = width × length × height

Given:

  • volume = 4,212 yd³
  • width = 2 yd
  • length = 27 yd

Substituting given values into the formula and solving for height:

⇒ 4212 = 2 × 27 × height

⇒ 4212 = 54 × height

⇒ height = 4212 ÷ 54

⇒ height = 78 yd

7 0
2 years ago
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2 and 3 please and show the work too answer quick cuz it’s due tomorrow pls
Svetradugi [14.3K]
722 bricks and 8 workers.
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3 years ago
CAN SOMEONE PLS HELP WITH THIS ASAP!!
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Answer:

What is it?

Step-by-step explanation:

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3 years ago
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I need help with this question
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