Answer:
Step-by-step explanation:
The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of . From here we're in simplest form, since 
or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.
We can use the distance formula to find the distance between these points.
Distance formula: 
√(-5 - 6)² + (-3 - (-3))²
√121 = 11
The difference between the points is 11.
Given:
To find:
The missing value.
Solution:
Let x be the missing value.
We have,
Subtract 
from both sides.
Multiplying both sides by 5, we get
So, the missing value is 3.
Therefore, the correct option is C.
Answer:
- 3
5
Step-by-step explanation:
Caution: you need to use the same units of measurement throughout. If the spring stretches by 21 cm when a 135 newton object is attached, then you must ask for the mass (in newtons) of a fish that would stretch the spring by 62.1 cm.
We will need to assume that the spring is not stretched at all if and when no object is attached to the spring.
Write the ratio
21.0 cm 135 newtons
------------- = --------------------
62.1 cm x
Solve this for x. This x value represents the mass of a fish that would stretch the spring by 62.1 cm. You can cancel "cm" in the equation above:
21.0 135 newtons
------ = --------------------
62.1 x
Then 21.0x = (62.1)(135 newtons). Divide both sides of this equation by 21.0 to solve it for x.
