We have that
y = −14x² − 2x − 2
First, we need to transform the equation into its vertex form
(x - h)²=4p(y - k)
<span>Group
terms that contain the same variable
</span>y = (−14x² − 2x )− 2
<span>Factor the
leading coefficient
</span>y = -14*(x² + (2/14)x )− 2
<span>Complete
the square Remember to balance the equation
</span>y = -14*(x² + (2/14)x +(2/28)²-(2/28)²)− 2
y = -14*(x² + (2/14)x +(2/28)²)− 2+14*(2/28)²
y = -14*(x² + (2/14)x +(2/28)²)− 2+56/784
Rewrite as perfect squares
y = -14*(x+(2/28))²− 1512/784------>(x+1/14)²=(-1/14)*(y+1512/784)
4p=-1/14------> p=-1/56
This is a vertical parabola and its focus <span>(h, k + p)</span>
<span>h=-1/14</span>
<span>k+p=(-1512/784)+(-1/56)----> (-1512-14)/784)----> -1526/784</span>
<span>
</span>
<span>the focus is</span>
<span>(-1/14,-1526/784)</span>
(Answer 2,770) (estimation: 3,000)
Answer:
22-14=8
J=8
Step-by-step explanation:
Converting from one units to another set of units, a conversion factor is needed. For this problem, the conversion factor would be 1 mile = 1610 m. We convert the value of <span>speed</span> of light from meters/second to miles/hour as follows:
3 x 10^8 m/s (1 mile / 1610 m) ( 60 s / 1 min ) ( 60 min / 1 hr ) = 6.71 x 10^8 miles / hr
