Point W is on line segment V X. Given VW = 4x - 7, V X = 5x + 1, and
2 answers:
Answer:
Step-by-step explanation:
we have that
Point W is between point V and point X
Points W,V and X are collinear
so
-----> equation A (by addition segment postulate)
we know
substitute the given values in the equation A and solve for x
Combine like terms in the right sides
Group terms that contain the same variable
<em>Find the length of VW</em>
substitute the value of x
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Answer:
Step-by-step explanation:
Let's start with the original function.
We can immediately fill in the amplitude 'a' and period 'T' , as the question defines these for us, and provides values for 'a' and 'T', 4 and 4 respectively.
Now we only have phase shift and vertical shift to do. Vertical shift is very easy, you can just add it to the end of the right side of the expression. A positive value will shift the graph up, while a negative value will move shift the graph down. We have '-2' as our value for vertical shift, so we can add that on as so:
Now phase shift the most complicated of the transformations. Basically, it is just movement left or right. A negative phase shift moves the graph right, a positive phase shift moves the graph left (I know, confusing!). Phase shift applies directly to the x variable, or in this case the t variable. To achieve a -4/3 pi phase shift, we need to input +4/3 pi into the function, because of the aforementioned negative positive rule. Here is what the function looks like with the correct phase shift:
This function has vertical shift -2, phase shift -4/3 , amplitude 4, and period 4
.
Desmos.com/calculator is a great tool for learning about how various parts of an equation affect the graph of the function, If you want you can input each step of this problem into desmos and watch the graph change to match the criteria.
Answer:
<em>Answer: D. Jake paid his loan in 12 months</em>
Step-by-step explanation:
Jake took out an interest-free loan of $2,401.56 from the bank to buy a car.
Since he has to pay no interest for the loan, the monthly payments are totally used to cover the amount of the loan.
He paid the bank $200.13 each month, thus the total months needed to pay the loan is:
Answer: D. Jake paid his loan in 12 months