Answer:
6/5
Step by step explanation:
Here we are provided with a equation which is ,
And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,
Recall the slope intercept form of the line which is <u>y</u><u> </u><u>=</u><u> </u><u>mx</u><u> </u><u>+</u><u> </u><u>c</u><u> </u>.On comparing to which we get ,
Again , recall that product of slopes of two perpendicular lines is -1. So that ,
Hence ,
And we are done !
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Answer: 
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Given: 
Find: 
Solution: We know that a is greater than b and we also know that we are going to be adding c to both sides which means that both sides would increase by the same amount. Therefore a + c would still be greater than b + c giving us the expression of a + c > b + c.
Answer:
r = -12cos(θ)
Step-by-step explanation:
The usual translation can be used:
Putting these relationships into the formula, we have ...
(r·cos(θ) +6)² +(r·sin(θ))² = 36
r²·cos(θ)² +12r·cos(θ) +36 +r²·sin(θ)² = 36
r² +12r·cos(θ) = 0 . . . . subtract 36, use the trig identity cos²+sin²=1
r(r +12cos(θ)) = 0
This has two solutions for r:
r = 0 . . . . . . . . a point at the origin
r = -12cos(θ) . . . the circle of interest
<span>This is a reduction to simplest form problem. You are given 33/36. All you
need to do is to find a divisible number that can be divided to both the numerator
and denominator, 33 and 36 respectively. It’s like finding the GCF or greatest
common factor. The greatest common factor is the factor that divides both
numbers. If you try to divide them by three, 33 divided by 3 gives 11 and 36
divided by 3 gives 12. The simplest form is 11/12. </span>