Everyone works differently in mental meth.
To calculate 9*52, we note that 9=10-1, so mentally calculate
9(52)
=(10-1)(52)
=520-52 [ subtract 20 from each number]
=(520-20)-(52-20)
=500-32
=468.
Alternatively,
9*52=9*50+9*2=450+18=468
If you're good with multiplication and division,
9*52=3*3(52)=3*156=450+18=468
Answer:
18, 21
Step-by-step explanation:
There is a difference of 3 between any two consecutive term ( succeeding - preceding)
Hence 15 + 3 = 18
& 18 + 3 = 21 are the required terms.
Given equations are x- - y-z = 2, - x - 3 y - 2 z + 4, -x - 2 z = 10 .
It seems you have missed to write = in the 2nd equation so i have fixed the sign and going to solve the following system of equations:
x-y-z=2 ...(i)
-x-3y-2z=4 ...(ii)
-x-2z=10 ...(iii)
solve (i) for x
x=2+y+z ...(iv)
plug (iv) into (ii)
-x-3y-2z=4
-(2+y+z)-3y-2z=4
-2-y-z-3y-2z=4
-2-4y-3z=4
-4y-3z=6...(v)
plug (iv) into (iii)
-x-2z=10
-(2+y+z)-2z=10
-2-y-z-2z=10
-2-y-3z=10
-y=12+3z
y=-12-3z...(vi)
plug (vi) into (v)
-4y-3z=6
-4(-12-3z)-3z=6
48+12z-3z=6
48+9z=6
9z=-42
z=-14/3
Now plug value of z into (vi)
y=-12-3z=-12-3(-14/3)=-12+14=2
y=2
plug value of y and z into (iv)
x=2+y+z=2+2-14/3=-2/3
Hence final answer is x=-2/3, y=2, z=-14/3
<h2>
Explanation:</h2>
Here we have the following expression:
So we need to simplify that radical expression. By property of radicals we know that:
![\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%5Csqrt%5Bn%5D%7Bb%7D%3D%5Csqrt%5Bn%5D%7Bab%7D)
So:
The prime factorization of 22968 is:
Hence:
By property:
![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
So:
Finally:
<h2>Learn more:</h2>
Radical expressions: brainly.com/question/13452541
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