Ball hit the ground is when the function equals zero
0=-16t^2+46t+6
we can't factor so use quadraticformula
for
ax^2+bx+c=0
x=
![\frac{-b+/- \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20)
x=
![\frac{-46+/- \sqrt{46^2-4(-16)(6)} }{2(-16)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%20%5Csqrt%7B46%5E2-4%28-16%29%286%29%7D%20%7D%7B2%28-16%29%7D%20)
x=
![\frac{-46+/- \sqrt{2116+384} }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%20%5Csqrt%7B2116%2B384%7D%20%7D%7B-32%7D%20)
x=
![\frac{-46+/- \sqrt{2500} }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%20%5Csqrt%7B2500%7D%20%7D%7B-32%7D%20)
x=
![\frac{-46+/- 50 }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%2050%20%7D%7B-32%7D%20)
x=
![\frac{-46+ 50 }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2050%20%7D%7B-32%7D%20)
or
![\frac{-46- 50 }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46-%2050%20%7D%7B-32%7D%20)
x=
![\frac{4}{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B-32%7D%20)
or x=
![\frac{-96}{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-96%7D%7B-32%7D%20)
x=-1/6 or x=3
we cannot have negative time because time starts at 0
disregard -1/6 as a possible answer
answer is after 3 seconds
Answer:
127/12
Step-by-step explanation:
4 × 2 + 12x = 135
(1. Simplify 4 x 2 to 8.
8 + 12x = 135
(2. Subtract 88 from both sides.
12x= 135 - 8
(3. Simplify 135 - 8 to 127
12x = 127
(4. Divide both sides by 12
x= 127/12
Decimal Form: 10.583333
I think this is the awnser, but don't quote me on that
Answer:
3550ml
Step-by-step explanation:
Thomas made 8,700 ml of Soup.
He packed 1.6L in his kid's lunch.
Since our result is required in milliliters, it is more practical to convert all units to milliliters.
1 Litre=1000 millilitre
1.6 Litre=1.6 X 1000 ml =1600ml
Since Thomas packed 1600ml of soup, the remaining volume of soup is determined by the expression:
Total Soup Prepared - Volume of Soup Packed= 8700-1600=7100ml
Remaining Soup=7100ml
Since he froze half of the remaining.
½ of 7100ml=3550ml
Thomas froze 3550ml of soup.
The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise
<h3>How to find Complex Trigonometric numbers?</h3>
We are given;
z = 3(cos(15°) + i sin(15°))
w = 5(cos(90°) + i sin(90°))
Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.
Thus, option A is the correct answer.
Read more about Trigonometric Complex numbers at; brainly.com/question/12517327
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