Step-by-step explanation:
To check if a solution is extraneous, simply plug it back into the original equation. If it works, then solution isn't extraneous.
√(2x−1) = 7
√(2(25)−1) = 7
√(50−1) = 7
√(49) = 7
7 = 7
So the solution isn't extraneous.
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.
In order to complete this, we must write it as a ratio. This would look like: 2.4:5.25=x:1063. In order to solve for x, we must first divide 5.25 by 2.4, which I will mark as y, then we take y and divide it into 1063, giving us the answer of 485.94, rounded will give you 486. x now equals 486.
First, reflect the triangle across x
Then translate the triangle 1 unit to the right and 9 units down
Answer:
Step-by-step explanation:
(35 - 20)/20
15/20 = .75
.75 * 100 == 75%
75%