Answer:
The sum of the first 47 terms of the given series = 6016
Step-by-step explanation:
Given the sequence
13, 18, 23, ...
An arithmetic sequence has a constant difference 'd' and is defined by
As the difference between all the adjacent terms is the same.
so
Arithmetic sequence sum formula
Put the values
Thus, the sum of the first 47 terms of the given series = 6016
Answer:
.......v
Step-by-step explanation:
g
No
We know scale factor(k)=y/x
Calculate units as 1 and find k
For left side
Hence its not a copy
Answer:
x = 2
Step-by-step explanation:
The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...
(2√3)(2√3) = x(x +4)
12 = x² +4x
16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square
4² = (x +2)² . . . . . . . . write as squares
4 = x +2 . . . . . . . . . . positive square root
2 = x . . . . . . . . . . . . . subtract 2
_____
<em>Alternate solution</em>
If you believe x to be an integer, you can look for factors of 12 that differ by 4.
12 = 1×12 = 2×6 = 3×4
The factors 2 and 6 differ by 4, so x=2 and x+4=6.
Answer:
y=1/3x-4
Step-by-step explanation:
the slope-intercept format of the line is y=mx+b, where m is the slope and b is the y intercept.
we are given the slope (1/3) and the y intercpet (-4).
substitute the numbers into the equation
y=1/3x-4
the answer is y=1/3x-4
hope this helps!
