Answer:
The two consecutive positive integers are
and
.
Step-by-step explanation:
Let
be an even integer, then the next even integer is
.
The sum of the squares of these even integers is
.
We can write the following equation and solve for
.
.
We expand to get,
.
We simplify to get,
.
This gives us,

We divide through by 2 to get,
.
This is now a quadratic trinomial
We split the middle term to get,
.
We factor to obtain,




We discard
since it is not a positive integer.

Hence the two consecutive positive even integers are,

and

What's the question, I can't see images on my school laptop
Answer- each width = 10, each length = 21
Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21
Slope is 7/3 and y intercept is -3.
Remark
For every 3 units for NP will be 4 units. You can set up a proportion.
3*NP = 4*45
3*NP = 180 Divide by 3
NP = 180/3
NP = 60
Answer C