Step-by-step explanation:
D. Graph D the answer is D
You can go through the effort of determining the zero of the function analytically and evaluating an analytic expression for the derivative at that point, or you can let a graphing calculator do that heavy lifting. Since the numbers have to be "nice" for your equation to have the desired form, it is easy to know what to round to in the event that is necessary (it isn't).
We find the positive zero-crossing at x=2, and the slope of the curve at that point to be 8. Thus the line will have slope -1/8 and can be written as
.. x +8y -2 = 0
From the picture, we can see that ΔLSP and ΔLRN are similar, so corresponding sides are proportionate:
LN : LP = 28:12 = 7:3
Therefore, the LRN sides is 7/3 of the corresponding side of LSP.
Then, it states that the area of LSP = 50, and area of a triangle is (1/2)bh, so we set up the equation
Area of LSP = (1/2)bh = 50 ← Remember how the corresponding sides are 7/3 of LSP? Therefore, the area of LRN:
LRN = (1/2)(7b/3)(7h/3) ← Take out the 7/3 and multiply them together
= (49/9)(1/2)bh ← From LSP, we know that (1/2)bh = 50, so plug that in
= (49/9)*50 ≈ 272.222 units ²
Answer:
A= 4*9
Step-by-step explanation:
A = b*h
A= 4*9
=36
N= Heidi's marbles
92 - n =18 (Barry's 92 marbles - whatever Heidi has = 18 marbles difference)
92 -n +n = 18 +n (I added n to each side)
92 = 18+n
92 -18 = 18-18 + n (I subtracted 18 from both sides)
74 = n Heidi has 74 marbles