<span>A = 157, B = 23
The definition of supplementary angles is that they add up to 180 degrees. So A+B = 180. And A = 7B - 4.
So write down the formula
A + B = 180
Substitute the formula for A in terms of B
7B - 4 + B = 180
Combine terms
8B - 4 = 180
Add 4 to both sides
8B = 184
Divide both sides by 8
B = 23
Now calculate A in terms of B
A = 7B - 4
A = 7 * 23 - 4 = 161 - 4 = 157
Verify that A and B add up to 180
157 + 23 = 180</span>
Answer:
integer
Step-by-step explanation:
it is an integer
The Reference angle for 302 degree is 58 degree.
<h3 /><h3>What is Reference Angle?</h3>
The acute angle formed by the terminal arm or terminal side and the x-axis is known as the reference angle.
There is always a positive reference angle.
The reference angle is, in other words, the angle formed by the terminal side and the x-axis.
Reference angle is given by
Ф = 360° - Given angle
Ф = 360° - 302°
Ф = 58°
Option A is right answer.
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Part A. You have the correct first and second derivative.
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Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.
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Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out
To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
h ' (x) = -10a(-2x+1)^4
0 = -10a(-2x+1)^4
so either
-10a = 0 or (-2x+1)^4 = 0
The first part is all we care about. Solving for 'a' gets us a = 0.
But there's a problem. It's clearly stated that 'a' is nonzero. So in any other case, the value of 'a' doesn't lead to altering the path in terms of finding the extrema. We'll focus on solving (-2x+1)^4 = 0 for x. Also, the parameter b is nowhere to be found in h ' (x) so that's out as well.
Answer: Find the discriminant
Check explanation
Step-by-step explanation:
b^2-4ac
if it is equal to 0 there is no solution
Greater then 0 there is 2 real solution
Less then 0 there is 1 real
3^2-4(2*-1)
9-4(-2)
9(8)
72 there is at least one real solution
