Y-k = a(x-h)²; h and k are given vertex(0,3), then
y -3 = a(x-0)²→ y = ax² + 3. From the table we can calculate a:(for x =1, y=2)
2 =a(1²) +3→ 2= a + 3 and a = -1, hence the equation:
y = -x². It's a parabola open downward with a max at (0,3)
y' = - 2x: This is the equation of the tangent with a rate of change = -2
Another way:
For x = 8, y₁'= -16. For x = 9, y₂' = -18
y'₂ - y'₁ = -18 + 16→ rate of change = -2
You divid it by two my dude
Answer:
Volumen A = 30000 cm³
Volumen B = 35000 cm³
Volumen C = 72000 cm³
Step-by-step explanation:
a) Volumen A
Largo = 50 cm, Ancho = 30 cm Alto = 20 cm
Volumen = Largo × Ancho × Alto
= 50 cm × 30 cm × 20 cm
= 30000 cm³
b) Volumen B
Largo = 35 cm, Ancho = 20 cm Alto = 50 cm
Volumen = Largo × Ancho × Alto
= 35 cm × 20 cm × 50 cm
= 35000 cm³
c) Volumen C
Largo = 40 cm, Ancho = 60 cm Alto = 30 cm
Volumen = Largo × Ancho × Alto
= 40 cm × 60 cm × 30 cm
= 72000 cm³
Let us prove that angle 1 is complementary to angle 3 step by step.
1. We have been given that angle 1 is complementary to angle 2.
2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary .
3. We have been also given that line segment BD bisects .
4. By the definition of bisect .
5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate .
6.
Upon substituting in above equation we will get,
Therefore, by substitution property of equality .
Hence, proven that angle 1 is complementary to angle 3.