B.!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
-
, where
and
are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴
and 
∴
and 
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ = 
∴ HJ = 
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
Answer:
15.5925925926
Step-by-step explanation:
First, we need to add 2/6 and 2/5.
2/6 can be simplified to 1/3
We need to have 1/3 and 2/5 have the same denominator. 3 and 5's LCM (least common multiply) is 15.
Multiply both the numerator and denominator of 1/3 by 5. This equals 5/15.
Multiply both the numerator and denominator of 2/5 by 3. This equals 6/15.
5/15 plus 6/15 is 11/15. This means that Jack's 6000 dollars is 4/15.
Let's say that x is the total amount invested by all three.
6000/x would equal 4/15.
Solve this by multiply 6000 by 15 and 4 by x and making these two equal each other.
90000 would equal 4x. Divide both sides by 4 to get x.
90000 divided by 4 would be 22500.
4/15 is the fraction by Jack
22500 is the total amount invested by all 3
Given that:
(x+2)(2x-5)=54
We have:

Using the quadratic formula, this is approximately 5.66, so rounded to the nearest whole number, our answer is 6.