52). 5x=45 Divide each side of the equation by 5.
53). -3x = 12 Divide each side by -3.
54). x/4 = 10 Multiply each side by 4 .
55). x/3 = -8 Multiply each side by 3 .
1). x -10 = 12 . Add 10 to each side.
3). x + 8 = 16 Subtract 8 from each side.
5). 5 + x = 6 Subtract 5 from each side.
7). x - 4 = 9 Add 4 to each side.
Thank you for the 5 points. The crust and warm water are delicious.
Answer:
c(x)=(x+3)^2+5
Step-by-step explanation:
To complete the square, the same value needs to be added to both sides.
So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression
C(x) =x^2 +6x + 9 + 14
Since 9 was added to the right-hand side also add 9 to the left-hand side
C(x) +9= x^2 +6x + 9 + 14
Using a^2 + 2ab + b^2=(a+b)^2, factor the expression
C(x)+9= (x+3)^2 +14
Move constant to the right-hand side and change its sign
C(x)=(x+3)^2 +14 - 9
Subtract the numbers
C(x)= (x+3)^2 +5
Answer:
-13
Step-by-step explanation:
Opposite of 9t = -9t
Taking the sum of 9t - 13 and -9t
Sum = 9t - 13 + (-9t)
Sum = 9t - 13 - 9t
Sum = 9t-9t - 13
Sum = -13
Hence the expression in standard form is -13
Step-by-step explanation:
2x = y-10
Rewrite as: 2x + 10 = y
Therefore:
2x+10 = y
2x +7 = 2y
Subtract the equations:
2x + 10 = y
- 2x + 7 = 2y
______________
3 = -y
Therefore y = -3
Substiture y = -3 into the second equation:
2x + 7 = 2(-3)
2x + 7 = -6
2x = -13
x= -6.5
Answer : (-6.5, -3)
Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30
Todd is 30 now.
_____
You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
