Answer:
A. 6x^{2}+6y^{2}=144
Step-by-step explanation:
<span>x= 5 + y
28x – 9y = -12
substitute </span>x= 5 + y into 28x – 9y = -12
28x – 9y= -12
28(5 + y) – 9y = -12
140 + 28y - 9y = -12
19y = -152
y = -8
<span>x = 5 + y
</span>x = 5 - 8
x = -3
solution (-3, -8)
Answer:
X = 33.05
Step-by-step explanation:
<span>The parabola opens upward and is symmetric to the y-axis.
Its general form is: . y \;=\;ax^2 + c
Its y-intercept is (0, 10) . . . Hence: . y \;=\;ax^2 + 10
It passes through (200, 100).
We have: . 100 \:=\:a\cdot200^2 + 10 \quad\Rightarrow\quad a \:=\:\frac{9}{4000}
Hence: . y \;=\;\tfrac{9}{4000}x^2 + 10
When x = \pm50,\;\;y \:=\:\tfrac{9}{4000}(50^2) + 10 \:=\:\frac{125}{8}
Therefore, 50 feet from the center, the cable is 15\tfrac{5}{8} feet high.</span>
Answer:
See below:
Step-by-step explanation:
If we do this, we know that 2 gallons takes 14 seconds. (2:14)
Based on that data, we can know that 1 gallon takes 7 seconds. (1:7)
-> 2/14 = 1/7
Now we can multiply by 12 to get 12 gallons on one side.
What we do on one side has to happen to the other side.
So, 12 gallons * 1 gallons = 12 gallons and 12 gallons * 7 gallons = 84 gallons.
So the final answer is 85 gallons,