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Serggg [28]
3 years ago
14

Find the length of the third side. If necessary, write in simplest radical form.

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

( x) {}^{2}  = (5) {}^{2}  + ( \sqrt{11} ) {}^{2}  \\  {x}^{2}  = 25 + 11 \\  {x}^{2}  = 36 \\ x = 6

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A number increased by 4 is the same as 19 minus 2 times the number
ElenaW [278]

Hello from MrBillDoesMath!

Answer:

n = 5


Discussion:

Let the original number be "n"  Translating the problem  statement to mathematical symbolism:

n + 4 = 19 - 2n                   =>  add 2n to both sides

n + 2n + 4 = 19 - 2n + 2n  =>  combine like terms

3n + 4 = 19                        => subtract 4 from both sides

3n = 19 -4  = 15                 => divide both sides by 3

n = 15/3 =5


Check: Does 5 +4 = 19 - 2(5)? Does 9 = 9? Yes. so the value for n is confirmed correct.


Thank you,

MrB

6 0
3 years ago
5) Find the distance between -9 and 12 on a number line.​
kati45 [8]

Answer: Hope this helps!!!

Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.

Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.

Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.

3 0
2 years ago
162 water bottles in 9 cases
adell [148]
Your answer is 18 because your dividing
8 0
3 years ago
Read 2 more answers
What is the approximate curcumfrance of the circle shown below?​
Vikki [24]

Answer:

C.

Step-by-step explanation:

Circumference=PI*diameter

Circumference=3.14*19.5

Circumference=61.23 rounds to 61.2 so the answer is C

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=5x%20-%2010%20%5Cleqslant%2020" id="TexFormula1" title="5x - 10 \leqslant 20" alt="5x - 10 \le
OlgaM077 [116]
The answer is x = 6
Explanation:
First, you must assume that 5x-10=20. Next, you add 10 to 20, which makes the equation 5x=30. Next, divide 30 by 5, which then makes the equation x=6. When you substitute 6 in the original equation, it works, because 5(6)-10 equals 20.
6 0
3 years ago
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