Answer:
- The value of
- The value of
Step-by-step explanation:
Let
and
As is exactly divisible, so, the remainder is 0.
∴
As the R.H.S becomes 0 when and .
And
by substituting
by substituting
Adding Equation [A] and equation [B]
Subtracting Equation [A] and equation [B]
Therefore,
- The value of
- The value of
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That would simplify to 32x^5+400x^4+200x^3+5000x^2+6250x+3125
You would do that because you have to write it repeatedly as (2x+5)(2x+5) and so on.
The answer is s=(1/3) t=-1 r=3
Answer:
x + 14 = 2(x + 6)
x = 2
Step-by-step explanation:
Let
Algebra book age = x
Chemistry book age = x + 8
In 6 years time
Chemistry book age = x + 8 + 6
= x + 14
Algebra book age = x + 6
the chemistry book will be twice as old as the Algebra book.
x + 14 = 2(x+6)
x + 14 = 2x + 12
x - 2x = 12 - 14
- x = - 2
Divide both sides by -1
x = 2
Check:
Chemistry book age = x + 14
= 2 + 14
= 16
Algebra book age = x + 6
= 2 + 6
= 8
Answer: the length of the sides are 21m, 16m and 28 feet
Step-by-step explanation:
Let x represent the length of the first side.
Let y represent the length of the second side.
Let z represent the length of the third side.
The perimeter of a triangle is 65 meters. It means that
x + y + z = 65- - - - - - - - - - 1
The second side is 5 meters less than the first side. It means that
y = x - 5
The third side is 7 meters more than the first side. This means that
z = x + 7
Substituting y = x - 5 and z = x + 7 into equation 1, it becomes
x + x - 5 + x + 7 = 65
3x + 2 = 65
3x = 65 - 2 = 63
x = 63/3
x = 21
y = 21 - 5 = 16
z = 21 + 7 = 28