First, solve for each of the angles. Since it is a right triangle, one of the angles is 90 degrees. Knowing that the sum of the angles of a triangle are always equal to 180 degrees, you can write an equation for the triangle.
Angle1+ angle2+angle3=180.
Which means that 90+(x+15)+2x=180.
After finding the value of x, which is 25 in this case, solve for each angle.
X+15=25+15=40.
2x=25*2= 50
The value of the smallest angle is 40 degrees.
12m²n² -8mn +1
[6mn-1]•[ 2mn-1]
[ 6mn•2mn + 6mn•-1 + -1•2mn +-1•-1]
= [ 12 m²n² -6mn -2mn +1]
= [ 12m²n2-8mn+1]
.........
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:
-8y-67
Step-by-step explanation:
-7(y+9)-(y+4) distribute
-7y-63-y-4 combine like terms
-8y-67
i believe this is the right answer :D
Answer:
Hello! Your answer would be, BELOW!
Step-by-step explanation:
A)
40
D)
Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Brainiest plz! Hope you make an 100%! -Amelia♥
