Given that 
and 
, it follows that
###
When 
, we have
The slope of the line tangent to 
at (0, 3) has slope 
,
Then the tangent line at this point has equation
###
Differentiating both sides of
with respect to 
yields
On this curve, when 
we have
(ignoring the negative solution because we don't care about it)
The tangent to this curve at the point 
has slope 
. This tangent line is horizontal when its slope is 0. This happens for
and when , there is a horizontal tangent line to the curve at the point (2, 8).
Answer:
B: 1 triangle
Step-by-step explanation:
I don't know if you've made it to proofs yet, but this format is Side Angle Side (or SAS). In proofs, this means that the triangle is unique. Unique triangles have only ONE solution.
Answer: Don't know sorry what kind of grade is this for
Step-by-step explanation:
Answer:
5.0
Step-by-step explanation:
Answer:
Sides: a = 5 b = 7 c = 9
Area: T = 17.412
Perimeter: p = 21
Semiperimeter: s = 10.5
Angle ∠ A = α = 33.557° = 33°33'26″ = 0.586 rad
Angle ∠ B = β = 50.704° = 50°42'13″ = 0.885 rad
Angle ∠ C = γ = 95.739° = 95°44'21″ = 1.671 rad
Height: ha = 6.965
Height: hb = 4.975
Height: hc = 3.869
Median: ma = 7.665
Median: mb = 6.384
Median: mc = 4.093
Inradius: r = 1.658
Circumradius: R = 4.523
Vertex coordinates: A[9; 0] B[0; 0] C[3.167; 3.869]
Centroid: CG[4.056; 1.29]
Coordinates of the circumscribed circle: U[4.5; -0.452]
Coordinates of the inscribed circle: I[3.5; 1.658]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 146.443° = 146°26'34″ = 0.586 rad
∠ B' = β' = 129.296° = 129°17'47″ = 0.885 rad
∠ C' = γ' = 84.261° = 84°15'39″ = 1.671 rad
Step-by-step explanation:
