Answer:
2/3+3/4=5/6
Step-by-step explanation:
Answer:
Step-by-step explanation:
8
Answer:
The length of the sides of the square is 9.0015
Step-by-step explanation:
Given
The diagonal of a square = 12.73
Required
The length of its side
Let the length and the diagonal of the square be represented by L and D, respectively.
So that
D = 12.73
The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:
Solving further, we have
Divide both sides by 2
Take Square root of both sides
Reorder
Now, the value of L can be calculated by substituting 12.73 for D
(Approximated)
Hence, the length of the sides of the square is approximately 9.0015
Step-by-step explanation:
1) 5a+4b-3a-7b+4a
Add terms having 'a' and 'b' separately
=6a-3b
Now subtitute values of a and b :
=6(-3)-3(4)
=-18-12
=-30
2)c(6-b)-c²
=6c-bc-c²
Subtitute values of b and c:
= 6(-2)-(5)(-2)-(-2)²
=-12+10-4
=-6
3)5x²-2xy+3y
Subtitute values of x and y:
=5(-5)²-2(-5)(-2)+3(-2)
=5(25)-20-6
=125-20-6
=99
4)-k²-(7k-4m)
Subtitute values of m and k:
=-(-2)²-{7(-2)-4(4)}
=-4-(-14-16)
=-4-(-30)
=-4+30
=26
5)3(6x+5y)-2y
Subtitute values of x and y:
=3{6(3)+5(-3)}-2(-2)
=3(18-15)+4
=3(3)+4
=9+4
=13
6)5(3m-n)-4(2m-n)
Subtitue values of m and n:
=5{5(-8)-(-11)}-4{2(-8)-(-11)}
=5(-40+11)-4(-16+11)
=5(-29)-4(-5)
=-145+20
=-125
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