Step-by-step explanation:




Vertical angles are equal
4x = 45 + 15
4x = 60
x = 60/4
x = 15
Answer:
A
Step-by-step explanation:
This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is
, or in our case:
, where
a is the initial height of the ball and
b is the decimal amount the bounce decreases each time. For us:
a = 1.5 and
b = .74
Filling in,

If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:
which of course simplifies to
which simplifies to

So the height of the ball is that product.
A(6) = .33 cm
A is your answer
The value of x is 105 when y=42
Step-by-step explanation:
A direct proportion means that the change in one quantity will also cause the change in other quantity
Given
y varies directly with x
x ∝ y
when the proportionality symbol is removed a proportionality constant is introduced

The value of x is 105 when y=42
Keywords: Proportion, Direct variation
Learn more about proportion at:
#LearnwithBrainly
Answer:
24
Step-by-step explanation:
definition of coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y)