The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Given the equations:
Aiden: y = 2.3x + 160.7
Natalie: y = 3.6x + 202.6
For their tennis balls to cover the same distance:
2.3x + 160.7 = 3.6x + 202.6
1.3x = -41.9
x = -32.3
The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.
Find out more on linear equation at: brainly.com/question/14323743
Answer:
17.8 cm
Step-by-step explanation:
In the 17 hours between heights of 18.6 cm and 15.2 cm, the candle lost 3.4 cm in height. That is, the height decreased at the rate of ...
(-3.4 cm)/(17 h) = -0.2 cm/h
In the 4 hours between 12 hours and 16 hours of burning time, the candle will have changed its height by (4 h)(-0.2 cm/h) = -0.8 cm.
The height at 16 hours of burning is then 18.6 cm -0.8 cm = 17.8 cm.
Answer:
35% chose baseball or soccer
Step-by-step explanation:
baseball or soccer = 20% + 15% = 35%
_____
The categories add to 100%, so are mutually exclusive, as you expect when they are "favorite sport" categories. Hence the union of two of them will be their sum. (Otherwise, you'd have to subtract the amount by which the categories overlap.)
-5 < 3 + m <em>subtract 3 from both sides</em>
-5 - 3 < 3 - 3 + m
-8 < m → m > -8