Answer:
Step-by-step explanation:
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Answer:
b = 30 / a
which agrees with the third expression in the list of possible options
Step-by-step explanation:
When we say that a and b vary inversely, that means that in mathematical form:
b = k / a where "k" is the so called "constant of proportionality". In order to write the function that models this inverse variation, we need to find the value of "k". We do such by using the information they provide (b = 5/2 when a = 12):
5/2 = k / 12
Then, solving for "k":
5 * 12 / 2 = k
60 / 2 = k
k = 30
Then we can now write the function that models this inverse variation:
b = k / a
b = 30 / a
Answer:
The first one maybe or thrid one
Step-by-step explanation:
Answer:
∠1 + ∠2 + ∠3 = 180°
Step-by-step explanation:
Given : AB II XC
To Show : ∠1 + ∠2 + ∠3 = 180°
Proof: Here, given that AB is parallel to the line XC
⇒ ∠4 = ∠2 (Pair of Alternate angles as AB II XC) ......... (1)
and ∠5 = ∠3 (Pair of Alternate angles as AB II XC) ........... (2)
Now, ∠1 + ∠4 + ∠5 = 180° ( Straight Angle)
But, from above (1) and (2)
∠1 + ∠2 + ∠3 = 180° ( as ∠4 = ∠2, ∠5 = ∠3)
Hence, ∠1 + ∠2 + ∠3 = 180°
Hence Proved.
Answer:
(-3 + -2y)(5 + -1y) = 0
Step-by-step explanation:
Simplifying
(y + -5)(2y + 3) = 0
Reorder the terms:
(-5 + y)(2y + 3) = 0
Reorder the terms:
(-5 + y)(3 + 2y) = 0
Multiply (-5 + y) * (3 + 2y)
(-5(3 + 2y) + y(3 + 2y)) = 0
((3 * -5 + 2y * -5) + y(3 + 2y)) = 0
((-15 + -10y) + y(3 + 2y)) = 0
(-15 + -10y + (3 * y + 2y * y)) = 0
(-15 + -10y + (3y + 2y2)) = 0
Combine like terms: -10y + 3y = -7y
(-15 + -7y + 2y2) = 0
Solving
-15 + -7y + 2y2 = 0
Solving for variable 'y'.
Factor a trinomial.
(-3 + -2y)(5 + -1y) = 0
