The answer is A
in a y-int your x coordinate is always going to be 0
The area of the screw head is 93.5m².
<h3>How to calculate the area?</h3>
The area of the hexagon can be illustrated based on the formula:
A = 3✓3/2 × a²
Base = 12.
Height = 3.
Area of each triangle = 0.5 × 12 × 3 = 18
Area of the rectangle = 12 × 6 = 72
Therefore the area of the screw head will be:
= 3√3/2 × 72
= 93.5m²
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This is an arithmetic sequence because there is a common difference between terms, a constant found when subtracting the preceding term from any term in the sequence. In this case the common difference is 7.
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial value, d=common difference, n=term number
Here we have a=44 and d=7 so
a(n)=44+7(n-1)
a(n)=44+7n-7
a(n)=7n+37, so the 39th term is:
a(37)=7(37)+7
a(37)=266
I am assuming that 44 is the first term, not the 5th term...if 44 was the fifth term let me know and I will edit to reflect that...
Answer:
B.
Step-by-step explanation:
3(n+1)=2(n+4)
3 × n + 3 × 1 = 2 × n + 2 × 4
3n + 3 = 2n + 8
3n - 2n = 8 - 3 we regroup by categories (unknown and number)
n = 5
