The mystery number is 16 because 16 - 6 = 10.
The bisector of an angle is a segment or a ray that passes through the vertex and splits it into two congruent angles.
Hope this is of great help to you, and happy studying~!
~Mistermistyeyed.
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).
Answer:
Solve the equation for y. See example.
Step-by-step explanation:
I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.
Now solve for y by dividing each term by 5.
Now simplify.
The slope is
Answer:
Observational study.
Step-by-step explanation:
In an observational study, the data is calculated but there are no experiments to change anything.
In a designed experiment, an experiment is applied to a group of people and it's effects are studied.
In this problem, we have that:
Male and female college students give their total credit card debt. There are no experiments to change anything. So it is an observational study.
