Answer:
1
Step-by-step explanation:
Slope = y2 - y1 / x2 - x1 so, (0 - (-2)) / (1 - (-1)) == 2/2 = 1
2 3/4 divided by 7=0.39285714285
Answer:
<BAC = 36degrees
Step-by-step explanation:
Find the diagram attached
The sum of the interior angle is equal to the exterior. Hence;
<B + <C = <DAB
6x+40 + x+20 = 180 - 3x
7x+60 = 180 - 3x
7x+3x = 180 - 60
10x = 120
x = 120/10
x = 12
Get <BAC
<BAC = 180 - (180-3x)
<BAC = 180-180+3x
<BAC = 3x
<BAC = 3(12)
<BAC = 36degrees
Answer:
50/50
Step-by-step explanation:
2 is half of 4. 4/2 is 50/50
Answer:
The two horiz. tang. lines here are y = -3 and y = 192.
Step-by-step explanation:
Remember that the slope of a tangent line to the graph of a function is given by the derivative of that function. Thus, we find f '(x):
f '(x) = x^2 + 6x - 16. This is the formula for the slope. We set this = to 0 and determine for which x values the tangent line is horizontal:
f '(x) = x^2 + 6x - 16 = 0. Use the quadratic formula to determine the roots here: a = 1; b = 6 and c = -16: the discriminant is b^2-4ac, or 36-4(1)(-16), which has the value 100; thus, the roots are:
-6 plus or minus √100
x = ----------------------------------- = 2 and -8.
2
Evaluating y = x^3/3+3x^2-16x+9 at x = 2 results in y = -3. So one point of tangency is (2, -3). Remembering that the tangent lines in this problem are horizontal, we need only the y-coefficient of (2, -3) to represent this first tangent line: it is y = -3.
Similarly, find the y-coeff. of the other tangent line, which is tangent to the curve at x = -8. The value of x^3/3+3x^2-16x+9 at x = -8 is 192, and so the equation of the 2nd tangent line is y=192 (the slope is zero).
