49 I think I might be wrong
Answer:
The value of r is 16
Step-by-step explanation:
<u><em>The correct question is</em></u>
Find out the value of r if the slope between the two ordered pairs is m=-1/5
we know that
The formula to calculate the slope between two points is equal to
we have the points
(r, 7), (11, 8)
substitute the values
Remember that
equate the equations
solve for r
Multiply in cross
Function 2 has the lowest average rate of change.
Answer:
16+4(q+11)+10q simplified is 14q+60
Showed work for this: 16+4(q+11)+10q --> then we expand (q+11) due to PEMDAS, this will get us 16+4q+44+10q --> we do that then we get 14q+60
For the other ones: They cannot be simplified further these would be "factored" or "cannot simplify further" if you are writing on paper.
Answer:
b)(b²-a²)
Step-by-step explanation:
a cotθ + b cosecθ =p
b cotθ + a cosecθ =q
Now,
p²- q²
=(a cotθ + b cosecθ)² - (b cotθ + a cosecθ)² [a²-b²=(a+b)(a-b)]
=(acotθ+bcosecθ + bcotθ+ acosecθ) (a cotθ + bcosecθ -bcotθ-acosecθ)
={a(cotθ+cosecθ)+b(cotθ+cosecθ)} {a (cotθ-cosecθ)+b (cosecθ-cotθ)}
={a(cotθ+cosecθ)+b(cotθ+cosecθ)} [a (cotθ-cosecθ) + {- b (cotθ-cosecθ)} ]
={a(cotθ+cosecθ)+b(cotθ+cosecθ)} {a (cotθ-cosecθ) - b (cotθ-cosecθ)}
={(cotθ+cosecθ)(a+b)} {(cotθ-cosecθ) (a-b)}
=(cotθ+cosecθ) (a+b) (cotθ-cosecθ) (a-b)
=(cotθ+cosecθ) (cotθ-cosecθ) (a+b) (a-b)
= (cot²θ-cosec²θ) (a²-b²) [(a+b) (a-b)= (a²-b²)]
= -1 . (a²-b²) [ 1+cot²θ=cosec²θ ; ∴cot²θ-cosec²θ=-1]
=(b²-a²)
