The slope of the line given its equation is calculated through, m = -A / B. The slope of the given line is 4/3. The line perpendicular to it has the slope of -3/4. The slope-point form of the equation is,
y - y1 = m(x - x1)
where m is the slope and x1 and y1 the abscissa and ordinate of the point, respectively.
Substituting the values above,
y --2 = (-3/4)(x - 3)
Simplifying the equation gives 3x + 4y = 1.
Answer: StartFraction 1 Over 64 EndFraction
Step-by-step explanation: Based on the pattern, the fraction keeps increasing. It keeps multiply itself by 2.
(I could be wrong, hopefully I'm Not)
Answer:
(a) √25 rational
(b) √30 irrational
Step-by-step explanation:
Note : only perfect squares have rational roots
25 = 5² then 25 is a perfect square
therefore √25 = 5 is a rational number
30 cannot be written in the form a² where ‘a’ I start a natural number then 30 is not a perfect square
Therefore √30 is irrational.
Answer:
Step-by-step explanation:
Given:
-----(1)
Simplifying 
From Law of indices, 
= 
When 1.0005 is raised to the 7th power, it is approximately 1.0035.
Substituting 
into equation(1)
