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Phantasy [73]
3 years ago
7

Given that log x = 3 and log y = 5, find log (x^2)(y^2)- log xy

Mathematics
1 answer:
strojnjashka [21]3 years ago
3 0

Step-by-step explanation:

logx²y² - logxy

= log(x²y²/xy)

= logxy

= logx + logy

= (3) + (5)

= 8.

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What two numbers have a sum of 217 and a <br> difference of 85?
Setler [38]

Answer:

the two numbers are 151 and 66

Step-by-step explanation:

x+y =217

x-y = 85

add the two equations

x+y =217

x-y = 85

-------------

2x = 302

divide by 2

2x/2 = 302/2

x = 151

now find y

x+y =217

151+y =217

subtract 151 from each side

y = 217-151

y =66

8 0
3 years ago
Solve the inequality -4x &lt; 66
Alex73 [517]

Answer:

x >-33/2

Step-by-step explanation:

-4x < 66

Divide each side by -4, remembering to flip the inequality

-4x/-4 > 66/-4

x >-33/2

6 0
3 years ago
Read 2 more answers
ABCD is a rhombus. If m&lt;1=122, then what is the measure of &lt;2 and &lt;3
Svetach [21]
M < 2 will be 180 - 122 =  58 degrees

< 3 is opposite < 1 so it will be = 122 degrees
4 0
4 years ago
Compute the slope of the line intersecting the points (1, 2) and (3, 8). *
DiKsa [7]

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 8)

m = \frac{8-2}{3-1} = \frac{6}{2} = 3

6 0
3 years ago
A card is drawn at random from a deck of 52 playing cards. Find the probability that the card drawn is:
melomori [17]

probability that the card drawn is:

  1. an ace or a king  = 0.1538
  2. a king or a diamond = 0.3269

<u>Step-by-step explanation:</u>

Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:

  • an ace or a king

A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{8}{52}

⇒ probability = 0.1538

  • a king or a diamond

A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{(13+4=17)}{52}

⇒ probability = \frac{(17)}{52}

⇒ probability =0.3269

Therefore, probability that the card drawn is:

  1. an ace or a king  = 0.1538
  2. a king or a diamond = 0.3269
8 0
3 years ago
Read 2 more answers
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