7 x 3/4
The equivalent value of the expression is A = 21/4
Given data:
The first number is represented as a = 7
The second fraction is represented as b = 3/4
So, the equation is A = ab
And, A = 7 x 3/4
So, 7 multiplied by 3/4 equals 21/4.
However, to express the answer in its simplest form, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor.
The greatest common factor of 21 and 4 is 1, so we divide both numerator and denominator by 1.
Hence, the simplest form of the equation is A = 21/4
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2. (5x^2 + 3x - 4) (x^2 - 6x )
please show work
The given logarithmic expression log(8a/2) can be expanded as 2 log 2 + log a by using the properties of logarithms.
The question is asking to expand the logarithmic expression log(8a/2). The properties of logarithms can be applied in order to simplify it. There are two key properties that will be used. First, the logarithm of a product of two numbers is the sum of the logarithms of the two numbers, which can be represented as log xy = log x + log y. Second, the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers, represented as log (a/b) = log a - log b.
With these properties in mind, we can start simplifying the given logarithmic expression. The expression log(8a/2) can be represented as log 8 + log a - log 2. Simplifying further, we get log 2^3 + log a - log 2, which simplifies further to 3 log 2 + log a - log 2. Simplifying one more step gives 2 log 2 + log a.
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Step-by-step explanation:
Point A = (-1, -3).
Midway of AB = (-3, 2).
Let Point B = (x, y).
Then (-1, -3) - (-3, 2) = (-3, 2) - (x, y).
=> (2, -5) = (-3-x, 2-y).
We have -3 - x = 2 and 2 - y = -5.
So x = -5 and y = 7.
Hence, point B = (-5, 7).
Answer:
270/1000
Step-by-step explanation: