Given, IJ = 3x + 3, HI = 3x - 1, and HJ = 3x + 8.
Since I is a point on line segment HJ, we can write


Put x=2 in HJ=3x+8.

Therefore, the numerical length of HJ is 14.
Answer:

Step-by-step explanation:
Given




Required
Determine their next meeting time
First, we need to get their unit rate in minutes per round


Convert 360 seconds to minutes



Divide by 2/2

So, we have:



Next, is to determine the LCM of 18, 6 and 2



Their LCM is:


This means that they will meet 18 minutes after their initial time of departure.
So:


50 would be a good choice of answer
answer.
Answer:
x=2 and y=0 is the required result.
Step-by-step explanation:
We have been given system of equations:
5x+2y=105x+2y=10 (1)
And 3x+2y=63x+2y=6 (2)
We will use elimination method:
Multiply 1st equation by 3 and 2nd equation by 5 we get:
15x+6y=3015x+6y=30 (3)
15x+10y=3015x+10y=30 (4)
Now subtract (4) from (3) we get:
-4y=0−4y=0
y=0y=0
Now, put y=0 in (1) equation:
5x+2(0)=105x+2(0)=10
5x=105x=10
x=2x=2
Hence, x=2 and y=0
<h2>
Answer:</h2>
The expression which represents the perimeter P of the rectangle as a function of L is:

<h2>
Step-by-step explanation:</h2>
The length and width of a rectangle are denoted by L and W respectively.
Also the diagonal of a rectangle is: 10 inches.
We know that the diagonal of a rectangle in terms of L and W are given by:

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )
Hence, we have:

But we know that width can't be negative. It has to be greater than 0.
Hence, we have:

Now, we know that the Perimeter of a rectangle is given by:

Here we have:
