Answer:
The flower garden width would be 6 ft
Step-by-step explanation:
A = 12 ft^2 = x(x + 4) becomes:
x^2 + 4x - 12 = 0, or (by completing the square) x^2 + 4x + 4 - 4 - 12 = 0
Thus, we have (x + 2)^2 - 16 = 0, or (x + 2)^2 = 16
Taking the square root of both sides yields x + 2 = ±4.
In this context only a positive x value makes sense: x = 2 + 4 => x = 6.
The flower garden width would be 6 ft. The other dimension would be 6 - 4, or 2, ft.
Answer:
answer is c
Step-by-step explanation:
0=theta symbol
SOH CAH TOA
SOH= Sin0=Oppisite/hypotnuse
CAH= Cos0=Adjecent/Hypotnuse
TOA= Tan0=Oppisite/Adjecent
• So we know that.....
x represent bags of snack and y is bottles of water.
This equations shows the total amount and the cost of each water bottle and snack:
20.00 = 2.50x + 1.00y
Total: $20.00
Snack: $2.50
Water Bottle: $1.00
And this question shows the total items:
11 = x + y
Which there will be some snack + some water bottle = 11 items
—————————————————————
• Now I’m going to first solve for x, which is the amount of bags of snack.
I will use the equation, 11 = x + y.
(First, we’ll subtract y from both side, since we’re solving for x [UNDO])
11 = x + y
-y = - y
_______
11 - y = x —> so x is equal to 11 minus y.
—————————————————————
• Now we’re going to plug the 11 - y as x in the equation: 20.00 = 2.50x + 1.00y to solve for y.
20.00 = 2.50 (11 - y) + 1.00y
20.00 = 27.5 - 2.50y + 1.00y (Distributed)
20.00 = 27.5 - 1.50y (Combine like terms)
20.00 = 27.5 - 1.50y
-27.5 = -27.5 (Subtract -27.5 both side)
——————————
-7.5 = - 1.50y
-7.5 = -1.50y
—— ——— (Divide both side by -1.50)
- 1.50 = -1.50
5 = y
y is equals to 5, which means that there are 5 water bottles.
Now we know there are 11 items total and because there are 5 water bottles, there will be 6 bags of snacks. 11-5=6
—————————————————————
ANSWER:
They bought 6 bags of snacks! :)
Answer:
-28
Step-by-step explanation:
(-5)(6) + (-6) ÷ (-3) =
-30 + (-6) ÷ (-3) =
-30 + 2 =
-28
<em>Hope that helps! :)</em>
<em></em>
<em>-Aphrodite</em>
Answer:
x = 96
y = 66
Step-by-step explanation:
The sum of interior angles of the given shape is 360:
x + y + 123 + 75 = 360
x + y + 198 = 360 subtract 198 from both sides
x + y = 162
The angle with the measure 114 and angle y are supplementary so their sum is 180
y + 114 = 180
y = 66 since x + y = 162 we can use this to find the value of x
x = 162 - 66
x = 96
