Answer:
81
Step-by-step explanation:
3^2
3 × 3
= 9
3^2
3 × 3
= 9
9 × 9
= 81
Hey there!!
Basic formula :
... a² - b² = ( a + b ) ( a - b )
Equation given :
... 81x² - 25
... ( 9x )² - ( 5 )²
... ( 9x + 5 ) ( 9x - 5 )
Hope it helps!!
Answer:
104?
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given parabola:</u>
<u>Complete the square to convert the equation into vertex form:</u>
- y = x² - 8x + 13 =
- x² - 2*x*4 + 4² - 4² + 13 =
- (x - 4)² - 16 + 13 =
- (x - 4)² - 3
Step-by-step explanation:
Ques 1)
abc: 15 = 16 rest 1
that means that if abc is divided by 15 than we get the quotient as 16 and remainder as 1.
Hence using : dividend=divisor×quotient+remainder we have:
abc=15×16+1
Hence, the value of abc is 241.
Ques 2)
a)
486: x = 17
i.e. 
⇒ x=486×17=8262
b)
y: 18 = 35 rest 1
that means when y is divided by 18 we get the quotient as 35 and remainder as 1.
Hence using : dividend=divisor×quotient+remainder we have:
y=35×18+1=631
y=631
c)
730: z = 27 rest 1
that means when 730 is divided by z we get the quotient as 27 and remainder as 1.
Hence using : dividend=divisor×quotient+remainder we have:
730=27z+1
27z=730-1
27z=729
z=27 (dividing both side by 27)
Ques 3)
Let'a' and 'b' denote the two natural numbers such that a is greater than 'b'.
a-b=70----(1)
also when a is divided by b then we get the quotient as 8 and some remainder.
Let the remainder be 'r'.
this means a=8b+r
let us consider r=0.
a=8b
hence from (1) we have
7b=70
b=10 (on dividing both side by 7)
hence a=80.
when r=1,2,3,4,5,6
we do not get a natural number as value for a and b.
also when r=7 we get the value of b=9 and a=79
After r>7 we get the value of b<r such a condition is not possible.