Given:
A number when divided by 780 gives remainder 38.
To find:
The reminder that would be obtained by dividing same number by 26.
Solution:
According to Euclis' division algorithm,
...(i)
Where, q is quotient and 
is the remainder.
It is given that a number when divided by 780 gives remainder 38.
Substituting 
in (i), we get
So, given number is in the form of 
, where q is an integer.
On dividing by 26, we get
Since q is an integer, therefore (30q+1) is also an integer but 
is not an integer. Here 26 is divisor and 12 is remainder.
Therefore, the required remainder is 12.
Answer:
Step 2: 4(2) + 4(3x)
Step-by-step explanation:
By definition, the area of a rectangle is given by:
Area = Length × Width
In this case, we know that:
Area = 8 + 12x
Width = 4
Therefore:
Step 1: 8 + 12x
Step 2: 4(2) + (4)(3x)
Step 3: 4(2 + 3x)
Therefore, the dimensions of the rectangle are 4 and 2 + 3x.
The mistake was made in STEP 2. Instead of 4(2) + 4(x2) it should be 4(2) + 4(3x). Which is the second option.
Answer:
Divide 12 by 6........................D
Answer:
y = (x-3)^2 - 17
Step-by-step explanation:
To complete the square, take the middle term bx and divide it in two. Then take the square.
x^2 - 6x - 8 has bx = -6x. Take -6/2 = -3. Square -3^2 = 9.
Now to finish completing the square add 9 and subtract 9 from one side.
y = x^2 - 6x - 8
y = (x^2 - 6x +9) -9 - 8
y = (x-3)^2 - 17
A. You would start off by a rectangle in the middle, then you would place to squares on the bottom and top if the rectangle. After you've done that, you place two rectangles (Same size as the original) on both sides of the original rectangle. Finally you add a rectangle (Same size) to either ends of the secondary rectangles. It should look like this.
B. You would start off with a rectangle in the middle, then you would add 2 equilateral triangles to the top and bottom of the rectangle. After that, you Simply put 2 rectangles (Same size as the original) on both sides of the rectangle. It should look something like this.
C. To make a pyramid, it's actually quite simple. You would start off with a square in the middle, and then place equilateral triangles on ALL sides of the square. It should look something like this.
I hope this helped ^^
