Answer:
The first set of consecutive even integers equals (8 , 6)
The second set is ( - 8 and - 6) which also works.
Step-by-step explanation:
Equation
(x)^2 + (x + 2)^2 = (x)(x + 2) + 52 Remove the brackets on both sides
Solution
x^2 + x^2 + 4x + 4 = x^2 + 2x + 52 Collect the like terms on the left
2x^2+ 4x+ 4 = x^2 + 2x + 52 Subtract right side from left
2x^2 - x^2 + 4x - 2x + 4 - 52 = 0 Collect the like terms
x^2 + 2x - 48 = 0 Factor
(x + 8)(x - 6) = 0
Answer
Try the one you know works.
x - 6 = 0
x = 6
Therefore the two integers are 6 and 8
6^2 + 8^2 = 100
6*8 + 52 = 100
So 6 and 8 is one set of consecutive even numbers that works.
========================
What about the other set.
x + 8 = 0
x = - 8
x and x + 2
- 8 and -8 + 2 = - 8, - 6
(- 8 )^2 + (- 6)^2 = 100
(-8)(-6) + 52 = 100
Both sets of consecutive numbers work.
Answer:
179.3
Step-by-step explanation:
hope this helps
have a good day
Answer:
FG, GH, FH
Step-by-step explanation:
H=180-100-50=30°
Since H is the smallest degree, the side opposite it (FG) is the shortest length.
Since F is the middle degree, the side opposite it (GH) would be the middle length.
Since G is the highest degree, the side opposite it (FH) would be the longest.
FG, GH, FH
Answer:
16.64911
Step-by-step explanation:
Answer:
Relationship is linear as r is closest to 1.
Step-by-step explanation:
From statistics we know that,
![\text{Corelation Coefficient}=r=\dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]]}}](https://tex.z-dn.net/?f=%5Ctext%7BCorelation%20Coefficient%7D%3Dr%3D%5Cdfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2-%28%5Csum%20y%29%5E2%5D%5D%7D%7D)
Putting all the values from the table,
we get corelation factor as 0.9995
Therefore, the relationship is linear as r is closest to 1.
