$810 ÷ 3 = 270 square feet
Area of the room is 270 square feet.
Area = 270 square feet, length = 18 feet
Area = Length x Width
270 = 18 x width
Width = 280 ÷ 18
Width = 15 feet
The room is 15 feet wide.
We analyze the chart and observe that the linear function is

, since this relation holds for all values in the table. Drawing this line over the quadratic function shows that they intersect
twice, at
both the positive and negative x-coordinates.This is by far the easiest way to solve this problem, but if you're interested in learning how to do it algebraically, read on! To prove this more rigorously, we can find that the equation of the parabola is
Substituting in

, we find that
the intersection points occur where 
, or

or

This equation doesn't factor nicely, so we use the
quadratic formula to learn that

Hence, the x-coordinates of the intersection points are

, which is
positive, and

, which is
negative. This proves that there are intersection points on both ends of the axis.
Answer:
yes
Step-by-step explanation:
Hi there!
We want to see if 9, 40, and 41 can be the sides of a triangle that can exist
We can use triangle inequalities to figure that out
For triangle inequalities, if the lengths of the sides are a, b, and c, then a+b>c, b+c>a, and c+a>b, then the lengths can make a triangle
Let's say that a=9, b=40, and c=41
Now substitute these values into the inequalities:
a+b>c
9+40>41
49>41
This is a true statement.
b+c>a
40+41>9
81>9
This is also a true statement.
41+9>40
50>40
This is a true statement as well.
Since all three of the inequalities ended up being true (all three NEED to be true in order for the given lengths to make a triangle), then we can confirm that 9, 40, and 41 can make a triangle
Hope this helps!
See more on this topic here: brainly.com/question/17357347
Answer:
2.3011
Step-by-step explanation:
This is because if you round this to the nearest tenth, the digit is 0 so it stays the same. When you round to the nearest hundredth, you would look at the 1 in the thousandth place and know that it is less than 5 so you would round down to 2.3. When you round to the nearest thousandth place, you would look at the very last number, which is less than 5, round down to 2.301 and realize that it is not equivalent to 2.3 :) I hope this helps
Answer: the answer is D
Step-by-step explanation: this is because every time an hour passes its multiplied by $49.00 but $85 is a fixed feee so the x would bethe hour making the last answer correct