Recall that
d/dx sech(x) = - sech(x) tanh(x)
d/dx tan⁻¹(x) = 1/(1 + x²)
Then by the chain rule,
dy/dx = - sech(x) tanh(x) / (1 + x²)
Answer: x = -11 ∠FGK = 30° ∠KGH = 150°
<u>Step-by-step explanation:</u>
∠FGK + ∠KGH = ∠FGH <em>Segment Addition Postulate</em>
x + 41 + x + 161 = 180 <em>Substitution</em>
2x + 202 = 180 <em> Simplify (added like terms)</em>
2x = -22 <em>Subtraction Property of Equality</em>
x = -11 <em>Division Property of Equality</em>
∠FGK = x + 41 = (-11) + 41 = 30
∠KGH = x + 161 = (-11) + 161 = 150
Rate of change is also another name for the slope so in this case, the question is asking you for the slope.
How can we find the slope?
The formula for slope is y2-y1/x2-x1
Now let's plug in for the year 1980 and 1990.
239-120/1990-1980
= 119/10
Slope is 119/10.
1 1/2 or 3/2 because there is 4 more than 8 which is a half.
Answer:
-8/1 or -8
Step-by-step explanation:
when you subtract a negative, it means add. so first lets add the one. we get -8 1/3. then we can add the 1/3. our final answer is -8
