Answer:Two fractions are equivalent if they have the same value. The numbers may be different, but the overall value is the same. To determine if two fractions are equivalent, cross multiply.
Step-by-step explanation: For example, 1/2 and 2/4 are equivalent fractions because they both represent one-half of something.
Answer:
i. Rotate
ii. Translates
Step-by-step explanation:
Rigid transformations are the methods required in which the orientation, dimension, position, or size of a given figure can be transformed. Some types of rigid transformation are: rotation, translation, reflection, etc.
From the given question, the two rigid transformation procedure required for Madison to prove that ΔABD ≅ ΔCDB by rigid transformations are: rotation and translation.
Madison decides to rotate ΔABD
about point B to create triangle A'B'D'. Next she translates A'B'D' along diagonal BD until point B' from ΔA'B'D' lines up with point d from ΔCDB.
Therefore,
ΔABD ≅ ΔCDB
Exponents can be expressed in terms of quotient or fraction.
For example: x^6 can be expressed as x^8 / x^2 = x^8-2 = x^6.
From the question, 5^8 can be expressed as
5^10/5^2 = 5^8
(5^2)(5^8) / (5^2) = 5^8
Answer:
h(t) = -16t2 + 186t + 43
at the ground h = 0
hence; -16t2 + 186t + 43 = 0
solving this quadratic equation using the quadratic formula ; a = -16, b = 186, c = 43 ; x = (-b +-(b2 - 4ac)1/2)/2a
gives t = 11.8 seconds to the nearest tenth (note that the negative root has no practical significance)
Step-by-step explanation:
We notice that the common ratio of teh sequence is 10, and that the first term is -0.56, then the recursive formula is: