We want to recast the equation into the standard form equation for a circle centered at (h, k) with radius r. That equation is
... (x -h)² + (y -k)² = r²
Start by completing the square for both x-terms and y-terms.
... x² - 4x + y² + 4y = k
To do that, add the squares of half the coefficients of the x- and y-terms.
... x² - 4x + (-2)² + y² + 4y + 2² = k + (-2)² + 2²
... (x -2)² + (y +2)² = k + 8 = r² . . . . . this is now equal to the square of the radius, so we have
... k + 8 = 6² = 36
Subtracting 8 gives
... k = 28 . . . . . . . matches selection D)
Answer:
The answer is 72 square units
Step-by-step explanation:
If rectangle A is scaled by 150% that means the length and breadth of rectangle A were both increased by 1.5(150%) to yield rectangle B.
So, the area of rectangle B is 1.5L x 1.5B = 2.25LB
But, LB = area of rectangle A which is = 32
So, area of rectangle B
= 2.25 x 32
= 72square units.
Answer:
31 pencils
Step-by-step explanation:
What we must do is reduce the range of responses, the first thing is to limit the numbers to the interval between 30 and 40.
If it is two by two and there is one left, it means that all the pairs are eliminated.
If it is five in five and there is one left over, the ones ending in 5 are also eliminated.
If it is three by three and there is one left over, the 33 and 39 are eliminated.
Taking this into account, the possibilities are reduced to two numbers only, 31 and 37.
37 is discarded because when it is grouped from five to five, there are 2 left over.
So the answer is 31, you have 31 pencils.
Answer:
x=3
Step-by-step explanation:
move the constant to the right hand side and change
whether you have the money to lend her
whether she offers you some collateral
whether she is creditworthy
whether she can repay the loan within a period that suits you
whether she offers to pay interest
