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cupoosta [38]
2 years ago
6

Find each product !!

Mathematics
1 answer:
Ludmilka [50]2 years ago
8 0
D c c B Last one is unclear
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If log x+y/5 = 1/2(log x + log y) the find the value of x/y + y/x ?​
V125BC [204]

Given that

log (x+y)/5 =( 1/2) {log x+logy}

We know that

log a+ log b = log ab

⇛log (x+y)/5 =( 1/2) log(xy)

We know that log a^m = m log a

⇛log (x+y)/5 = log (xy)^1/2

⇛log (x+y)/5 = log√(xy)

⇛(x+y)/5 = √(xy)

On squaring both sides then

⇛{ (x+y)/5}^2 = {√(xy)}^2

⇛(x+y)^2/5^2 = xy

⇛(x^2+y^2+2xy)/25 = xy

⇛x^2+y^2+2xy = 25xy

⇛x^2+y^2 = 25xy-2xy

⇛x^2+y^2 = 23xy

⇛( x^2+y^2)/xy = 23

⇛(x^2/xy) +(y^2/xy) = 23

⇛{(x×x)/xy} +{(y×y)/xy} = 23

⇛(x/y)+(y/x) = 23

Therefore, (x/y)+(y/x) = 23

Hence, the value of (x/y)+(y/x) is 23.

4 0
3 years ago
Using a scale of 1 to 10 billion model solar system, what is the diameter and distance from the sun using diameter of 4880km and
Yuki888 [10]

Answer:

Diameter Orbit Radius   Diameter Orbit Radius

average average   average average

km km   cm km

1,392,000   Sun 13,920,000,000  

4,879 57,910,000 Mercury 48,790,000 5,791,000

12,100 108,200,000 Venus 121,000,000 10,820,000

12,740 149,600,000 Earth 127,400,000 14,960,000

6,779 227,900,000 Mars 67,790,000 22,790,000

950.0 413,800,000 Ceres

Asteroid Belt 9,500,000 41,380,000

139,800 778,600,000 Jupiter 1,398,000,000 77,860,000

116,500 1,433,000,000 Saturn 1,165,000,000 143,300,000

50,720 2,877,000,000 Uranus 507,200,000 287,700,000

49,250 4,503,000,000 Neptune 492,500,000 450,300,000

2,372 5,874,000,000 Pluto

Kuiper Belt 23,720,000 587,400,000

Step-by-step explanation:

5 0
3 years ago
Y=mx+b is used for what math equation
soldier1979 [14.2K]
       y = m x + b is a linear equation. 
      This equation is in the slope - intercept form, where m is the slope and b is y - intercept.
       For example: y = 2 x + 5
       In this equation: m = 2 ( the slope ) and b = 5 ( the line intercepts y-axis at the point ( 0, 5 )  ).
3 0
3 years ago
Read 2 more answers
Write an algebraic expression for the following: twice a number *
Sliva [168]
2x ! the number would be x and 2x is 2 times x!
4 0
3 years ago
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Line KL has an equation of a line y = 4x + 5. Which of the following could be an equation for a line that is perpendicular to li
djyliett [7]
To find a perpendicular slope (or line), the slope (in this case 4x) must be the opposite sign and its reciprocal, which is basically the fraction flipped upside down. Since 4 is technically 4/1, that fraction flipped is 1/4. And since you need to flip the sign too, instead of it being a positive number, it's negative. Your answer is -1/4x-8
3 0
3 years ago
Read 2 more answers
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