Determine first the common difference (d) of the arithmetic sequence using the given terms,
d = (a17 - a6) / (17 - 6)
d = (113 - 36) / 11 = 7
Using the 17th term, 113, we get the value of a23 by,
a23 = a17 + (23 - 17) x 7
a23 = 113 + 42 = 155
Thus, the 23rd term is 155.
Use the attached figure to guide yourself through the explanation. In the figure:

.
We know that:

Also remmeber that the area of a triangle is:

The hegiht is shown in the figure in red, the base is just the b side.
Using the angle C the area of the triangle is:

Now taking the derivative of the area 2A with respect to t we have:

Replacing with the right values:

yields:
Answer:
1st one is B
Step-by-step explanation:
2nd one is the 1st one
Answer:
x≤47
Step-by-step explanation:
2x−3(3x−4)≥8
Step 1: Simplify both sides of the inequality.
−7x+12≥8
Step 2: Subtract 12 from both sides.
−7x+12−12≥8−12
−7x≥−4
Step 3: Divide both sides by -7.
−7x−7≥−4−7x≤47
Answer:x≤47