Answer:
x=3
Step-by-step explanation:
9x+5+2x = 38
Combine like terms
9x+2x +5 = 38
11x+5 = 38
Subtract 5 from each side
11x+5-5 = 38-5
11x = 33
Divide each side by 11
11x/11 = 33/11
x = 3
Answer:
about 6.45 ft/s
Step-by-step explanation:
The conversion factor for mph to fps is ...
1 mph = 22/15 fps
Multiplying by 4.4 gives ...
4.4 mph = 96.8/15 fps = 484/75 fps = 6 34/75 fps
≈ 6.4533333... ft per second
The data in the table are not proportionate because 4 pounds cost 3.55, meaning each pound costs 0.8875 while 6 pounds cost 4.33, which is 0.72166667 per pound.
With the properties of rectangle in mind we must perform two verification. Verify to see if opposite sides are parallel and adjacent sides are perpendicular.
We need to determine the slope of each side, using the formula,

<u>Slope of AB</u>




<u>Slope of BC</u>



<u>Slope of CD</u>




<u>Slope of AD</u>



<u>Verify Parallel sides</u>
If the quadrilateral is a rectangle, then opposite sides should have the same slope. But


<u>Verify Perpendicularity</u>
And also the product of slopes of all sides with a common vertex should be -1. But




Since the quadrilateral fails to satisfy all these conditions, the quadrilateral is not a rectangle