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3 years ago

If x=10^a , y=10^b and x^b.y^a=100.prove that xy=1

Mathematics

1 answer:

BabaBlast [244]3 years ago

8 0

Answer:

ab=1

Step-by-step explanation:

Assuming that you meant ab=1

$x=10^{a}\\\\y=10^b\\\\x^b*y^a=100\\\\(10^a)^b*(10^b)^a=100\\\\10^{ab}*10^{ba}=100\\\\10^{ab+ba}=100\\\\10^{2ab}=100\\\\(10^2)^{ab}=100\\\\100^{ab}=100\\\\ab=1$ this is because the exponents have to be equal

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kondor19780726 [428]

Answer:

Step-by-step explanation:

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4 0

2 years ago

Solve this system of linear equations. Separate the x- and y-values with a comma. -7x + 2y = -8 -16x + 9y = 26

Goryan [66]

(4,10).
1. There are three ways to solve this: elimination, substitution, graphing.
2. I chose elimination, so I had to get one negative variable and one positive variable of the same value (for example, 18 and -18)

-7x+2y=-8
-16x+9y=26
I chose to get 2y and 9y to equal -18y and 18y.
So, multiply the first equation by -9. Multiply the second by 2.
63x-18y=72
-32x+18y=52
the 18s cross each other out. So you're left with
63x=72
-32x=52. Add them.
31x=124, divide both sides by 31, and you'll get 4.
x=4
Plug your answer for x into one of the equations. Let's use the first one.
-7(4)+2y=-8
-28+2y=-8. add 28 to both sides.
2y=20, divide both sides by 2.
y=10.
This makes your answer (4,10)

8 0

3 years ago

Peter and John went shopping and spent ratio 2:3 If Peter spent $500 how much did John spend?

sveta [45]

John spent a total of $750

8 0

3 years ago

Hai has 24 video games. Six of his games are sports related and the rest are role-playing games. Which ratio represents the numb

Ierofanga [76]

The total number of Games.....TNG=24
Sports Related Games...............SRG=06
Role Playing Games.....................RPG=18 (24-6)

The ratio of Role Playing Games to Total Number of Games=RPG:TNG
18:24
3:4 is the answer. A ratio is actually a concept related to Division. Here in 18:24 you can divide both sides by 6 to reach the answer 3:4.

3 0

3 years ago

Read 2 more answers

Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee thank you

Orlov [11]

The domain and range for the relation is [-∞, ∞] and [0,-3], and both of them can be described by interval notation .

Since the graph given to us present a relation or a function, The domain and range of a function are the set of all the inputs and yield a function that can grant separately. The domain and range are vital viewpoints of a function. The domain takes all the conceivable input values from the set of real numbers and the range takes all the yield values of the function. In simple words, the domain is the set of all "x" values and the range is the set of all "y" values in a set of ordered sets and the requested sets are composed as in the form (x, y) or [x,y]

for the given the points are : (0,-3),(1,-3),(2,-3),(3,-3),(4,-3),(5,-3),(-1,-3)(-2,-3),(-3,-3),(-4,-3),(-5,-3)

so the domain set is ={-5,-4,-3,-2,-1,0,1,2,3,4,5}

and the range set is ={0,-3,-4,-5,-6,-7,-8}

so the domain and range is [-∞, ∞] and [0,-3]

To know more about the range and domain refer to the linkhttps://brainly.com/question/28135761?referrer=searchResults.

#SPJ1

5 0

1 year ago

If x=10^a , y=10^b and x^b.y^a=100.prove that xy=1​

If x=10^a , y=10^b and x^b.y^a=100.prove that xy=1