Answer:
16 Units.
Step-by-step explanation:
Given:
THIS CASE ⇒ AC = BD
⇒ Substitute the values
2 (x - 3) = x + 5
⇒ Clear the value of x
2x - 6 = x + 5
2x - x = 5 + 6
x = 11
⇒ Substitute the value of x in any of the equations
11 + 5 = 16
⇒ Length of each diagonal is 16 units.
Step-by-step explanation:
As
- The graph of the function passes through the point (2,1), and
- y increases by 4 when x increases by 1.
so
x y
2 1
3 5
4 9
5 13
6 17
and so on
From the table:




As the slope-intercept form of the line is

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.




So putting
and
in the slope-intercept form of the line


Therefore, the equation for the linear function will be:

Step-by-step explanation:
sum of the arithmetic sequence
a1 = 8
a2 = a1 + 8 = 8+8 = 16
...
an = 8×n
the sum of the first n elements of such a series is
n/2 × (2×a1 + (n - 1)×d]
with d being the difference between 2 consecutive elements (= the added constant).
so,
s30 = 30/2 × (2×8 + 29×8) = 15×(31×8) = 3720