Answer:
Step-by-step explanation:
We have been given an equation 
. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.
Let us factor our given equation as:
Dividing both sides by 2:
Splitting the middle term:
Using zero product property:
Therefore, the zeros of the given equation are .
We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.
We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:
Therefore, the equation represents the line of symmetry of the given parabola.
To find this, first we subtract the extra 3 feet from the original 27 feet.
27-3=24
Then, we divide the left over length by three. This will provide us with the length for the shorter piece.
24/3=8
The shorter piece will be 8 feet long.
Now, we double that to find the longer piece without the additional 3 feet.
8x2=16
And we add those two (8 and 16) together to make sure it is equal to the 24 we divided into 3 earlier.
16+8=24
Now all that's left is to add the extra 3 feet to the 16 feet.
16+3=19
And add that to the 8 feet, to check to make sure the lengths add up to our original 27 feet.
19+8=27
Therefore, the two pieces are the following lengths:
Shorter piece: 8 feet
Longer piece: 19 feet
Answer:
t - 5^7
Step-by-step explanation:
5 to the 7th power is 5^7. That value subtracted from t is ...
t - 5^7
__
Using the superscript font for the exponent, it would be ...
t - 5⁷
Answer:
30°
Step-by-step explanation:
A full circle has 360°.
1/12 of a circle has 1/12 of 360°.
1/12 * 360° = 360°/12 = 30°
Answer: 30°
