Answer:
6x+2
Step-by-step explanation:
your combine like terms...
so 13x is teh same as -7x
13x-7x= 6x
3 and -1 are the same as well
3-1=2
so teh answer would be
6x+2
Answer:
x=-7
Step-by-step explanation:
divide 12 on both sides and that equals -7
Answer:
width = 9.36 ft
length = 21.36 ft
Step-by-step explanation:
Let the width be x ft long. Then it follows that the length will be (x+12) ft long.
To calculate the area would then be
x(x+12) = 200
x
x = 9.36 ft or x = -21.36 ft
We take the positive answer. So the dimensions are
width = 9.36 ft
length = 9.36 + 12 = 21.36 ft
Answer:
(6, 9 ) and r = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 18y + 108 = 0
Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is
x² - 12x + y² - 18y = - 108
To obtain standard form use the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81
(x - 6)² + (y - 9)² = 9 ← in standard form
with centre = (6, 9 ) and r =
= 3
Answer:
Kelly owes $16.5
Greg owes $33
Joe owes $64.5
Step-by-step explanation:
Let
Kelly's portion = x
Greg's portion = 2x
Joe's portion = 4x - 1.50
Total bill = $114.00
Total bill = Kelly's portion + Greg's portion + Joe's portion
114 = x + 2x + (4x - 1.50)
114 = 3x + 4x - 1.50
114 = 7x - 1.50
Add 1.50 to both sides
114 + 1.50 = 7x - 1.50 + 1.50
115.5 = 7x
Divide both sides by 7
x = 115.5 / 7
= 16.5
x = $16.5
Kelly's portion = x
x = $16.5
Greg's portion = 2x
= 2 × 16.5
= $33
Joe's portion = 4x - 1.50
= 4(16.5) - 1.50
= 66 - 1.50
= $64.5
Therefore,
Kelly owes $16.5
Greg owes $33
Joe owes $64.5