Answer:
Y-coordinate = y - 4
Step-by-step explanation:
In the given question point D coordinate is (x, y)
and D after translation
x goes to 6 unit to the right and y goes to 4 unit down.
Hence,
Y-coordinate = y-4
Example:From graph
Let point D coordinate (x , y) = (2 , 3)
After rotation
D coordinates is (x+6 , y-4) = (2+6 , 3_4) = (8 , -1)
Answer:
2080
Step-by-step explanation:
The solution to these equations might best be found using Cramer's Rule. It tells you ...
x = (56939×3 -41655×2)/(-236×3 +838×2) = 87507/968 ≈ 90.400
This is years after 1990, so the year the incomes become the same is predicted to be ...
1990 +90.4 = 2080.4
The median incomes will be the same in the year 2080.
9514 1404 393
Answer:
C. 4 +√(x+5)
Step-by-step explanation:
The sign between the terms changes to form the conjugate. The radical contents are unchanged.
The conjugate of 4 -√(x+5) is 4 +√(x+5).
_____
<em>Additional comment</em>
The utility of a conjugate is that the product of a number and its conjugate is the difference of two squares. The squares are intended to remove an undesirable feature of the number, its imaginary part or its irrational part, for example. Here, the product of the number and its conjugate would be ...
(a -b)(a +b) = a² -b²
4² -(√(x+5))² = 16 -(x +5) = 11 -x . . . . no longer contains a root
Answer: B
Step-by-step explanation:
You are given the function
p(x) = √5x+7
Let p(x) = y then,
Y = √5x+7
To find the inverse of a function, you need to interchange x and y and make y the subject of formula. That is,
X = √5y+7
Square both sides
X^2 = 5y + 7
Make y the subject of formula
5y = x^2 - 7
Y = ( x^2 - 7 ) / 5
the correct answer is B
