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4.8 - 0.2 x 11.5
4.8 - 2.3
2.5 is the answer
Answer:
the present age of the father be x and the present age of the son be y.
It is given that man is 24 years older than his son that is:
x=y+24
x−y=24..........(1)
Also, 12 years ago, he was five times as old as his son that is:
(x−12)=5(y−12)
x−12=5y−60
x−5y=−60+12
x−5y=−48..........(2)
Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get
(x−x)+(−5y+y)=−24−48
i.e. −4y=−72
i.e. y=18
Substituting this value of y in (1), we get
x−18=24
i.e. x=24+18=42
Hence, the present age of the father is 42 years and the present age of the son is 18 years.
Step-by-step explanation:
Answer:
distance = sqrt( 65 ) ~= 8.06
Step-by-step explanation:
To find the distance between two points, we can use the distance formula.
distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)
distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)
distance = sqrt( [-7]^2 + [4]^2)
distance = sqrt( 49 + 16 )
distance = sqrt( 65 ) ~= 8.06
Cheers.
Answer:
B
Step-by-step explanation:
If 2 chords of a circle intersect, then the product of the parts of one chord is equal to the product of the parts of the other chord , that is
BW × WD = AW × WC ( substitute values )
6 BW = 3 × 8 = 24 ( divide both sides by 6 )
BW = 4 units
1)
g+4-3g=1+g
subtracting g from both sides
4-3g=1
subtracting 4 from both sides
-3g=-3
g=1
2)
-6a+3=-3(2a-1)
extending the right side
-6a+3=-6a+3
adding 6a to both sides
3=3
which is an identity
3)
0.5b+4=2(b+2)
extending the right side
0.5b+4=2b+4
subtracting 0.5 b from both sides
4=1.5b+4
subtracting 4 from both sides
0=1.5b
b=0
4)
8-(3+b)=b-9
subtracting 8 from both sides
-(3+b)=b-17
extending the left side
-3-b=b-17
adding b to both sides
-3=2b-17
adding 17 to both sides
14=2b
b=7
