Solve the problem.Find the length of each side of the triangle determined by the three points P1, P2, and P3. State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both.P1 = (-5, -4), P2 = (-3, 4), P3 = (0, -1)
A. d(P1, P2) = 2; d(P2, P3) =
; d(P1, P3) = 5
right triangle
B. d(P1, P2) = 2; d(P2, P3) =
; d(P1, P3) =
both
C. d(P1, P2) = 2; d(P2, P3) =
; d(P1, P3) =
isosceles triangle
D. d(P1, P2) = 2; d(P2, P3) =
; d(P1, P3) = 5
neither
Answer: B
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Solve the problem.Suppose that the amount in grams of a radioactive substance present at time t (in years) is given by A(t) = 170e-0.37t. Find the rate of change of the quantity present at the time when
A. -9.1 grams per year B. -6.8 grams per year C. 9.1 grams per year D. 6.8 grams per year
Find the derivative of y with respect to x, t, or ?, as appropriate.y = ln (4?e-?)
A. ln (4e-?(1-?))
B.
C. e?
D. - 1
The data table has been generated by a linear, quadratic, or cubic function f. All zeros of f are real numbers located in the interval By making a line graph of the data, conjecture the degree of f.
A. 1 B. 2 C. 3 D. 4
Perform the indicated operations and simplify.Let A = , B =
, and C =
. Find AB + BC.
A.
B.
C.
D.