Step-by-step explanation:
Use the quadratic formula to find the solutions.
−b±√b2−4(ac)2a-b±b2-4(ac)2a
Substitute the values a=9a=9, b=0b=0, and c=−81c=-81 into the quadratic formula and solve for xx.
x=±3x=±3
The final answer is the combination of both solutions.
x=3,−3x=3,-3
A community needs to raise at least $5000 to build a new skateboarding
park. They are selling backpacks for $25 each to raise the money. Write
and solve an inequality to determine the minimum number of backpacks
they need to sell in order to reach this goal.
Using it's concept, the approximate perimeter of pentagon ABCDE is given as follows:
34.4 units.
<h3>What is the perimeter of a figure?</h3>
The perimeter of a figure is given by the sum of the lengths of it's outside dimensions.
In this problem, the vertices are in a coordinate-plane, hence the distances are found using the formula for the distance between two points.
<h3>What is the distance between two points?</h3>
Suppose that we have two points, 
and 
. The distance between them is given by:
The length of segment AB is:
The length of segment BC is:
The length of segment CD is:
The length of segment DE is:
The length of segment EA is:
Hence the perimeter is:
P = AB + BC + CD + DE + EA = 9.2 + 5 + 6 + 5 + 9.2 = 34.4 units.
More can be learned about the perimeter of a figure at brainly.com/question/18610622
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Answer: 12, 12, and 23
Step-by-step explanation:
By definition, when three lengths form a triangle, the sum of two of them must be greater that the third lenght.
To find out which of the options given in the problem form a triangle, you must add the first two lenghts and verify that the sum is greater than the third lenght.
Keeping this on mind, when you verify the last option you have:
12+12=24
24>23
Therefore, the answer is the last option.
