Answer:
The positive difference between the a values is 0.5
Step-by-step explanation:
we know that
Both parabolas cross the x axis at (-4,0) and (6,0)
so
The general equation is
<em>Find the value of a in the first parabola</em>
The y-intercept is (0,-12)
so
For 
substitute
<em>Find the value of a in the second parabola</em>
The y-intercept is (0,-24)
so
For 
substitute
<em>Find the positive difference between the a values for the two functions</em>
so
f(x)= x^2 -6x +21
0 =x^2-6x+21
subtract 21 from each side to prepare for completing the square
-21 = x^2 -6x
completing the square (b/2)^2
(-6/2) ^ =3^2 = 9
add 9 to each side
-21 +9 = x^2 - 6x + 9
-21 +9 =(x-3) ^2
-12 = (x-3)^2
take the square root of each side
+- sqrt(-12) = x-3
add 3 to each side, take out the negative inside the square root
3 +- i sqrt(12)=x
simplify the square root sqrt(12)= sqrt(4)sqrt(3) =2sqrt(3)
3 +- i 2sqrt (3) = x
Answer: 3+2isqrt(3)
3-2isqrt(3)
Answer:
2 and 3.
Step-by-step explanation:
Four to the second power is 16.
Four to the third power is 64.
30 lies between 16 and 64, thus the exponent must lie between 2 and 3.
The speed 217 miles per hour using dimensional analysis to convert to feet per minute is; 19096 ft/min
<h3>How to use Dimensional Analysis?</h3>
From dimensional analysis, we know that;
1 mile = 5280 feet
1 hour = 60 minutes
Thus;
1 mile/hr = 88 feet/min
Since conversion from mph to ft/min is, 1 mile/hr = 88 feet/min
Then, 217 mile/hr = (217 mile/hr/1 mile/hr) * 88 feet/min
⇒ 19096 ft/min
Read more about Dimensional Analysis at; brainly.com/question/20712353
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