Answer:
all of them (A, B, C, D)
Step-by-step explanation:
Two unique points define a line. Any pair of unique points will always be collinear (reside on the same line).
Each of the points listed, together with (2, 1), will define a line. The two points will be collinear.
Answer:
Step-by-step explanation:
Well, first let's look at our trig identities. We can set up a cosine function using the given angle:
(adjacent/hypotenuse)
Then, multiplying both sides by 16 gives us:
Hope this helps!
Answer:
(a) 120 square units (underestimate)
(b) 248 square units
Step-by-step explanation:
<u>(a) left sum</u>
See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.
left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units
<u>(b) right sum</u>
The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...
right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units
Answer is 3.
Notice how f(0) is 0 on the graph, it can only be 3 because 3 is the only number on the y-axis that the line runs through. The line does not run through any of the other options.
Part A: 10 over 12 (10/12) Simplified Answer: 5 over 6 (5/6)