The question is not well formatted. A ell formatted version of the question type is attached and solved below :
Answer:
10
Step-by-step explanation:
Using trigonometry :
Taking the angle 45°
From trigonometry :
Sin θ = opposite / hypotenus
Opposite = s ; hypotenus = 10√2
Sin 45 = s / 10√2
Recall :
Sin 45 = 1/√2
We have ;
1/√2 = s / 10√2
s = 10√2 * 1/√2
s = 10√2 / √2
s = 10
Phoebe is correct. The line on the graph would be vertical in the x-axis value of 12.
Hello,
Use the factoration
a^2 - b^2 = (a - b)(a + b)
Then,
x^2 - 81 = x^2 - 9^2
x^2 - 9^2 = ( x - 9).(x + 9)
Then,
Lim (x^2- 81) /(x+9)
= Lim (x -9)(x+9)/(x+9)
Simplity x + 9
Lim (x -9)
Now replace x = -9
Lim ( -9 -9)
Lim -18 = -18
_______________
The second method without using factorization would be to calculate the limit by the hospital rule.
Lim f(x)/g(x) = lim f(x)'/g(x)'
Where,
f(x)' and g(x)' are the derivates.
Let f(x) = x^2 -81
f(x)' = 2x + 0
f(x)' = 2x
Let g(x) = x +9
g(x)' = 1 + 0
g(x)' = 1
Then the Lim stay:
Lim (x^2 -81)/(x+9) = Lim 2x /1
Now replace x = -9
Lim 2×-9 = Lim -18
= -18
It would be the first answer. Bubble. I don't know what you call it. But yeah, it's the first one.
