Answer:
an = 10n - 9.
Step-by-step explanation:
This is arithmetic with first term a1 = 1 and common difference 10.
an = a1 + d(n-1)
= 1 + 10(n - 1)
= 1 + 10n - 10
= 10n - 9.
Let x be the first integer, then
:
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519
:
6x + 15 = 519
:
6x = 504
:
x = 84
:
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Our sequence is
:
84, 85, 86, 87, 88, 89
:
The third integer is 86
1) Answer:

2) Answer:

The answer for first equation is, option B.
and the Answer for Second equation is option D.
In order to find the area of a rectangle, the formula is L*W (Length multiplied by Width). Our goal is to find these two measurements, so we will take the following steps:
1) Plot the coordinates on a graph (I have attached a visual guide)
2) Using the Pythagorean Theorem, or the Distance formula we can find the length and width:

3) We will use these values in the Area formula for a rectangle (L*W)
4) After solving the Area formula with the values retrieved from the Distance Formula we find that
the area is roughly 30 units squared.