Answer is: B
Step-by-step explanation: correct answer is B
b
2
−a
2
Given, acotθ+bcscθ=p
bcotθ+acscθ=q
⇒p
2
−q
2
=(p−q)(p+q)
=[acotθ+bcscθ−bcotθ−acscθ][acotθ+bcscθ+bcotθ+acscθ]
=[cotθ(a−b)−cscθ(a−b)][cotθ(a+b)+cscθ(a+b)]
=(a−b)(cotθ−cscθ)(a+b)(cotθ+cscθ)
=(a
2
−b
2
)(cot
2
θ−csc
2
θ)
=(−1)(a
2
−b
2
)[∵csc
2
θ−cot
2
θ=1]
=(b
2
−a
2
)
Here, we are required to write a real-world problem that can be represented by the given equation
On the left hand side of the equation, we can say that :
The addition of 6 to twice my cousin's age which gives 2x+6.
On the right hand side, we can say the addition of 4 to thrice my cousin's age which also gives:
3x +4
Ultimately, the real-world problem may be in the form :
Six added to Twice my cousin's age is equal to 4 added to thrice his age.
Also, my variable, x represents my cousin's age.
Read more:
brainly.com/question/12184348
Answer:
16 years approx
Step-by-step explanation:
Given data
P=$3000
r= 6%
A= $7700
t= ??
The compound interest formula is
A= P(1+r)^t
Calculate time, solve for t
t = ln(A/P) / r
substitute
t= ln(7700/3000)/0.06
t= ln(2.566)/0.06
t= 0.942/0.06
t= 15.7
The time is 16 years approx
Answer:
m = 20 * n
Step-by-step explanation:
The money that he earns is equal the amount earned per lawn times the amount of lawns that he mows
m = 20 * n
<span>x+7 = 44 is the same as 44-x = 7. You could write it as x = 44-7 and be correct also. Your welcome</span>
