The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
<h3>Properties of a triangle</h3>
From the question, we are to determine the expression that expresses all possible lengths of segment AB
From one of the properties of a triangle,
The <u>third side</u> of any triangle is greater than the difference of the other <u>two sides</u>; and the <u>third side</u> of any triangle is lesser than the sum of the <u>two other sides</u>
Then, we can write that
AB < 27 + 54
and
AB > 54 - 27
Putting the two inequalities together, we get
54 - 27 < AB < 27 + 54
27 < AB < 81
Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
Learn more on the Properties of a triangle here: brainly.com/question/1851668
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Answer:
The solutions to the quadratic equations are:
Step-by-step explanation:
Given the function
substitute y = 0 in the equation to determine the zeros
Switch sides
Add 4 to both sides
Simplify
Rewrite in the form (x+a)² = b
But, in order to rewrite in the form x²+2ax+a²
Solve for 'a'
2ax = -6x
a = -3
so add a² = (-3)² to both sides
Apply perfect square formula: (a-b)² = a²-2ab+b²
solve
Add 3 to both sides
Simplify
now solving
Add 3 to both sides
Simplify
Thus, the solutions to the quadratic equations are:
Answer:
56
Step-by-step explanation:
Simply plug in -7 for <em>x</em>:
(-7)² + 7
49 + 7
56
Answer:
(2x+3y)(x2+3x+2). it may helps you
Answer:
1/36
Step-by-step explanation:
This is a simple use of the multiplication rule of probability, which is:
"<em>The probability that Events A and B both occur is equal to the probability that Event A occurs times the probability that Event B occurs, given that A has occurred</em>"
Using this rule, we square 1/6 to get 1/36. In other forms:
Decimal:0.02777777777(Round to whatever decimal place you need)
Percentage: 2.778%(I don't see you needing any more places)
Hope my answer helped you!
