Answer:
t = 2.52 seconds
Step-by-step explanation:
h=139-15t-16t^2
We want to know when the ball hits the ground
That would be when h=0
0 = 139-15t-16t^2
We can use the quadratic formula to find t
t = -b ± sqrt(b^2-4ac)
----------------------
2a
where a = -16 b = -15 and c = 139
t = -(-15) ± sqrt((-15)^2-4(-16)139)
----------------------
2(-16)
t = (15) ± sqrt(225+8896)
----------------------
-32
t = (15) ± sqrt(9121)
----------------------
-32
t = 15+ sqrt(9121) t = 15- sqrt(9121)
-------------------- or -------------------
-32 -32
-3.453247707 or 2.515747707
Since time cannot be negative
2.515747707
Round to the nearest hundredth
t = 2.52 seconds
You take it like this=
8
-3
~~
3
+
3
+
3
-
1
~~
(4×2)
-
3
~~
[[5]]
《5+8》
/ \
| 13 |
\ /
Answer: 4
Step-by-step explanation:
Using the 30°-60°-90° Triangle Theorem we know that the base side is half of the hypotenuse. That means it is half of 8 which is 4
Answer: x = 5/2 = 2.5
Step-by-step explanation:
<u>Given expression</u>
2x (x + 3) = 2x² + 15
<u>Expand parentheses and apply the distributive property</u>
2x · x + 2x · 3 = 2x² + 15
2x² + 6x = 2x² + 15
<u>Subtract 2x² on both sides</u>
2x² + 6x - 2x² = 2x² + 15 - 2x²
6x = 15
<u>Divide 6 on both sides</u>
6x / 6 = 15 / 6
x = 15/6

Hope this helps!! :)
Please let me know if you have any questions
Answer:
1129/200 = 5.645
Step-by-step explanation:
31/8 ÷ (x-4 1/4)=17/18 +1 5/6=17/18 +11/6=17/18 +33/18=(17+33)/18=50/18=25/9
31/8 ÷ (x-4 1/4)=25/9
x-4 1/4 = 31/8 ÷25/9 = 31/8 × 9/25 = 279/200
x = 4 1/4 + 279/200 = 17/4 + 279/200 = 850/200 + 279/200 = 1129/200 = 5.645