Please help me with this!!
2 answers:
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Answer:
The function would be linear because the rate of change is constant.
Step-by-step explanation:
Given
per minute
See attachment for complete question and options
First, we write the function that calculates the cost (C(t)) for t minutes.
This is calculated as:
Rewrite as:
A function that has the above format is referred to as a linear function which has the general format
Where
m represents the slope/rate and it is constant
From the list of given options, (a) is correct.
Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
