Answer:
The unknown dimension is 35
Step-by-step explanation:
The perimeter of a rectangle is l+l+w+w or 2l+2w (l=length, w=width)
then we subtract 14 from 84
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1 answer:
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The first term of the arithmetic progression exists at 10 and the common difference is 2.
<h3>How to estimate the common difference of an arithmetic progression?</h3>
let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.
We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula
The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.
9th term = 50
a + 8d = 50 ...............(1)
12th term = 65
a + 11d = 65 ...............(2)
subtract them, (2) - (1), we get
3d = 15
d = 5
If a + 8d = 50 then substitute the value of d = 5, we get
a + 8 5 = 50
a + 40 = 50
a = 50 - 40
a = 10.
Therefore, the first term is 10 and the common difference is 2.
To learn more about common differences refer to:
#SPJ4
Answer:
D) ,
Step-by-step explanation:
The blue boundary line has a y-intercept of 2 and a slope of 2.
It has equation :
Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is
The blue boundary line passes through the origin and has slope .
Its equation is
Since the boundary line is not solid and the right half-plane is shaded, its inequality is
The correct choice is D.