The answer to your math question is 66°.
Adding 47° and 67° is 114°.
Subtracting 114° from 180° equals 66°.
Part A: f(t) = t² + 6t - 20
u = t² + 6t - 20
+ 20 + 20
u + 20 = t² + 6t
u + 20 + 9 = t² + 6t + 9
u + 29 = t² + 3t + 3t + 9
u + 29 = t(t) + t(3) + 3(t) + 3(3)
u + 29 = t(t + 3) + 3(t + 3)
u + 29 = (t + 3)(t + 3)
u + 29 = (t + 3)²
- 29 - 29
u = (t + 3)² - 29
Part B: The vertex is (-3, -29). The graph shows that it is a minimum because it shows that there is a positive sign before the x²-term, making the parabola open up and has a minimum vertex of (-3, -29).
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Part A: g(t) = 48.8t + 28 h(t) = -16t² + 90t + 50
| t | g(t) | | t | h(t) |
|-4|-167.2| | -4 | -566 |
|-3|-118.4| | -3 | -364 |
|-2| -69.6 | | -2 | -194 |
|-1| -20.8 | | -1 | -56 |
|0 | -28 | | 0 | 50 |
|1 | 76.8 | | 1 | 124 |
|2 | 125.6| | 2 | 166 |
|3 | 174.4| | 3 | 176 |
|4 | 223.2| | 4 | 154 |
The two seconds that the solution of g(t) and h(t) is located is between -1 and 4 seconds because it shows that they have two solutions, making it between -1 and 4 seconds.
Part B: The solution from Part A means that you have to find two solutions in order to know where the solutions of the two functions are located at.
Answer:
6.
Step-by-step explanation:
|2y-2| when y = 2
= |2(-2)-2|
= |-4 - 2|
= |-6|
= 6.
Answer:
p=38
Step-by-step explanation:
hope that helps!
Answer:
x = (-28)/11
Step-by-step explanation:
Solve for x:
(55 x)/24 + 35/6 = 0
Put each term in (55 x)/24 + 35/6 over the common denominator 24: (55 x)/24 + 35/6 = (55 x)/24 + 140/24:
(55 x)/24 + 140/24 = 0
(55 x)/24 + 140/24 = (55 x + 140)/24:
(55 x + 140)/24 = 0
Multiply both sides of (55 x + 140)/24 = 0 by 24:
(24 (55 x + 140))/24 = 24×0
(24 (55 x + 140))/24 = 24/24×(55 x + 140) = 55 x + 140:
55 x + 140 = 24×0
0×24 = 0:
55 x + 140 = 0
Subtract 140 from both sides:
55 x + (140 - 140) = -140
140 - 140 = 0:
55 x = -140
Divide both sides of 55 x = -140 by 55:
(55 x)/55 = (-140)/55
55/55 = 1:
x = (-140)/55
The gcd of 140 and 55 is 5, so (-140)/55 = (-(5×28))/(5×11) = 5/5×(-28)/11 = (-28)/11:
Answer: x = (-28)/11
