You can use factors to solve. Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!
Algebraic way to solve using Quadratics:
l = 2 + w
A = lw
A = (2 + w)w Substitute (2 + w) for l
24 = (2 + w)w Substitute 24 in for the area
24 = 2w + w^2 Distribute
w^2 + 2w - 24 = 0 Set equal to 0 (put in standard form)
(w + 6) (w - 4) = 0 Factor
w + 6 = 0 and w - 4 = 0 Set each factor equal to 0.
So w= -6 or w = 4 ... -6 makes no sense for a length! So the width must be 4 and the length will be 4 + 2, which is 6.
Answer:
No,as squares also follow those rules
Step-by-step
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The answer would be -18/-7
The interval over which the given quadratic equation decreases is: x ∈ (5, ∞).
<h3>How to find the interval of quadratic functions?</h3>
Usually a quadratic graph function decreases either when moving from left to right or moving downwards.
In the given graph, we can see that the coordinate of the vertex is (5, 4) after which the curve goes in the downward direction.
Thus, for the values of x greater than 5, the function decreases and so we conclude that the interval in which the quadratic equation decreases is: (5, ∞).
Read more about Quadratic functions at: brainly.com/question/18030755
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360 arrangements of 4 bridesmaids from her 6 closest friends are possible !
<u>Step-by-step explanation:</u>
Here we have , For a wedding the bride must select 4 bridesmaids from her 6 closest friends and must arrange them in order for the ceremony. We need to find How many arrangements of 4 bridesmaids from her 6 closest friends. Let's find out:
We know that formula for permutation is given by :
⇒ 
According to question we have following parameters as : n = 6 , r = 4
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , 360 arrangements of 4 bridesmaids from her 6 closest friends are possible !
