The larger of the two roots of the equation
would be 28.59.
<h3>How to find the roots of a quadratic equation?</h3>
Suppose that the given quadratic equation is

Then its roots are given as:

The given quadratic equation is

now, the roots of the equation are

The two roots are 0.27 and 28.59.
Thus, the larger of the two roots of the equation
would be 28.59.
Learn more about finding the solutions of a quadratic equation here:
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<h3>
Answer: -20</h3>
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Work Shown:
Let x be the location of E on the number line.
Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2
midpoint = (endpoint1 + endpoint2)/2
C = (E+F)/2
Plug in E = x, C = -8 and F = 4. Then solve for x
C = (E+F)/2
-8 = (x+4)/2
(x+4)/2 = -8
x+4 = 2(-8) .... multiplying both sides by 2
x+4 = -16
x = -16-4 .... subtract 4 from both sides
x = -20
The location of point E on the number line is -20
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As a check, lets add E and F to get E+F = -20+4 = -16
Then cut this in half to get -16/2 = -8, which is the proper location of point C
This confirms our answer.
Answer:
B
Step-by-step explanation: