The length of line segment OM is 34 cm.
<u>Step-by-step explanation</u>:
- The diagonals of a parallelogram bisect each other (cuts equally into two halves).
- The line segment OM is a diagonal with an intersection point Q.
- The line segment OQ is equal in length as the line segment QM.
Step 1 :
⇒ length of OQ = length of QM
⇒ 2x + 3 = 3x -4
⇒ 3x-2x =4+3
⇒ x = 7
Step 2 :
Subsitute x = 7 in OQ and QM
⇒ length of OQ = 2x+3
⇒ 2(7) + 3 = 17 cm
⇒ length of QM = 3x-4
⇒ 3(7) - 4 = 17 cm
∴ Length of OM = length of OQ + length of QM
⇒ OM = 17+17 = 34 cm
X < 4
_____________________________
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
There would be an open circle above the 4 on the number line and then shade everything to the left of it and making sure to include the arrow at the end pointing to the left.
This would be true because I can already see you divide by a negative and when you do that you flip your less that sign
Given:
The table of values.
To find:
The slope and y-intercept for this line.
Solution:
From the given table, we have three (-4,6), (0,3), (4,0).
We need to find the slope and y-intercept for this line.
Consider any two points from the given points.
Consider the line passes through the points (0,3) and (4,0). So, the slope of the line is:
The line passes through the point (0,3). Here the x-coordinate is 0. So, the y-intercept is 3.
Therefore, the slope of the line is and the y-intercept of the line is 3.