Given that y varies directly with x in the above table, if the value of x is 5, the value of y is 15.
<h3>How to calculate direct variation?</h3>
According to this question, a 2-column table with 5 rows is given.
- Column 1 is labeled x with entries 1, 3, 6, 9, 12
- Column 2 is labeled y with entries 3, 9, 18, 27, 36
If y varies directly with x, the mathematical representation is as follows:
y = kx
Since y = 3, when x = 1
3 = k × 1
k = 3
The relationship between x and y is as follows: y = 3x
Therefore, if the value of x is 5, the value of y = 3 × 5 = 15.
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Answer:
64 ft^3
Step-by-step explanation:
Assuming that all of the values (length [l], width [w] and height [h]) are all 4ft then using the calculation l x w x h, we can see that the answer is 64ft^3.
I hope this helps!
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5+a-4√(a+1)/(a-3) is the simplified form of the number. This can be obtained by multiplying numerator and denominator with conjugate of the denominator.
<h3>Simplify the number:</h3>
Given the number,
√a+1-2/√a+1+2
Denominator = √a+1+2
Conjugate of the denominator = √a+1 - 2
Now, (√a+1-2)(√a+1 - 2 )/√(a+1+2)(√a+1 - 2 )
=(√a+1 - 2 )²/(√a+1)² - 4
=(a+1 -4√a+1+5)/(a+1-4)
=5+a-4√(a+1)/(a-3)
Hence 5+a-4√(a+1)/(a-3) is the simplified form of the number.
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Answer:
Step-by-step explanation: base x height
70ft
