Answer:
The number is 10
Step-by-step explanation:
Let the number be x.
four thirds times = 4/3
According to the statement:
four thrids times the sum of a number and 8 is 24
4/3 *(x+8)= 24
Move 3 to the R.H.S and Multiply 4 with the parenthesis.
4x+32=24*3
4x+32=72
Move constant to the R.H.S
4x=72-32
4x=40
Divide both the terms by 4
4x/4=40/4
x=10
Therefore the number is 10....
3) HK = 2√5
midpoint of HK = (8,8)
4) SR = 2√2
R = (6,2)
5) Instead of walking a total of 14 he only would have walked a total of 10.
Hope this helps! ;)
The real solution of the given equation by factoring x² = 5(x + 210) will be -30 and 35.
<h3>What are the roots of an equation?</h3>
The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.
As per the given equation,
x² = 5(x + 210)
x² = 5x + 1050
x² - 5x - 1050 = 0
x² - 35x + 30x - 1050 = 0
x(x - 35) + 30(x - 35) = 0
(x + 30)(x - 35) = 0
x = -30 and x = 35
Hence "The real solution of the given equation by factoring x² = 5(x + 210) will be -30 and 35".
To learn more about the roots of equations,
brainly.com/question/12029673
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