Answer:
<u>3/10</u>
Step-by-step explanation:
<u>Taking the decimal values</u> (upto the thousandths place)
- 1/3 = 0.33
- 3/10 = 0.3
- 2/5 = 0.4
- 3/8 = 0.375
Clearly,
- 0.3 < 0.33 < 0.375 < 0.4
- 0.3 is the smallest
- <u>3/10</u> is the smallest
Answer: y = x + 2 OR f(x) = x + 2
Step-by-step explanation:
Calculating slope:
Remember rise over run; when going from one point to another point, in this case from (-3, -1) to (0,2), locate the distance moved in the x and y directions. This scenario moves 3 up and 3 right, meaning a positive slope of one. However, if the line was directed left, your slope would be negative.
Finding y-intercept:
Where does the line intersect the y-axis and have a x-value of 0? This is your y-intercept --> (0,2).
Write Equation:
y = mx +b
y = 1x + 2
y = x + 2 <em>(your final answer)</em>
I would have to say the second
Answer:
Solutions are;
x = -8
x = -3.2
Step-by-step explanation:
Here, we want to solve the given equation for x
|(x-4)/(x + 5)| = 4
From what we have, this is an absolute value equation and thus, we are going to have two solutions
These are;
x-4/x+ 5 = 4
x-4 = 4(x + 5)
x-4 = 4x + 20
x-4x = 20 + 4
-3x = 24
x = -24/3
x = -8
secondly;
x-4/x+5 = -4
x-4 = -4(x + 5)
x-4 = -4x - 20
x + 4x = -20 + 4
5x = -16
x = -16/5
x = -3.2
The formula for finding the area of a rug:

Plugging in the values we know, we can solve for s.

Take the square root of both sides.


is approximately equal to 8.89
So, 8.89 feet is the answer.