Answer:
The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches
Step-by-step explanation:
we know that
<u>The Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
x -----> the possible lengths of the third side
Applying the Inequality Theorem
1) 12+8 > x
20 > x
Rewrite
x < 20 in
2) 8+x > 12
x> 12-8
x > 4 in
therefore
4 in < x < 20 in
The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches
Answer:
L = the length of the field
W = the width of the field
The First Question:
The system is: L - 12 = w
2L + 2W = 76
Plug in L - 12 for W and you will get
2L + 2L - 24 = 76
4L -24 = 76
4L = 100
L = 25
To find W do L - 12 = w
25 - 12 = w
w = 13
Lauren needs to sell 6 more tickets to reach her goal. 30- (12x2) 12x2=24 30-24=6
Answer:
All potential roots are 3,3 and 
.
Step-by-step explanation:
Potential roots of the polynomial is all possible roots of f(x).
Using rational root theorem test. We will find all the possible or potential roots of the polynomial.
p=All the positive/negative factors of 45
q=All the positive/negative factors of 3
All possible roots
Now we check each rational root and see which are possible roots for given function.
Similarly, we will check for all value of p/q and we get
Thus, All potential roots are 3,3 and .
