that log4x=2log16x. (ii)Show that log x=3logb³ x. (iii) Show that log₂x=(1+log₂3)logix
Answer:
see explanation
Step-by-step explanation:
PQRS is a cyclic quadrilateral.
the opposite angles in a cyclic quadrilateral sum to 180° then
∠ Q + ∠ S = 180 ( substitute values )
3x - 8 + 3x + 8 = 180
6x = 180 ( divide both sides by 6 )
x = 30
Then
∠ Q = 3x - 8 = 3(30) - 8 = 90 - 8 = 82°
∠ S = 3x + 8 = 3(30) + 8 = 90 + 8 = 98°
∠ P = x + 15 = 30 + 15 = 45°
∠ R = 180° - ∠ P = 180° - 45° = 135°
The graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
-3x + 5y = -15
The above function shows a linear function we can write it as:
5y = 3x - 15
y = (3x - 15)/5
If x = 0, y = -3
x = 1, y = -2.4
x = 2, y = -1.8
x = -1, y = -3.6
x = -2, y = -4.2
Thus, the graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.
Learn more about the function here:
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Answer:
-3
Step-by-step explanation: