5x+y=2 find an order pair for x,y
Answers
5•2+-8=2
10-8=2.
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Square root of 9610 by division method
Answers
the total area of the shaded region = 2 * [ π* (
What is the solution to the system of equations?
(–20, 10)
(10, –20)
(10, 4)
(4, 10
Answers
Answer:
The correct option is 2.
Step-by-step explanation:
The given system of equations is
.... (1)
..... (2)
Substitute the value of x from equation (2), in equation (1).
On simplification, we get
The value of xis 10 and the value of y is -20. So, the solution of the given system of equation is (10,-20).
Therefore the correct option is 2.
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)
The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.
Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)
Part B: Explain what the solution from Part A means in the context of the problem. (4 points)
Answers
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).
------------------------------------------------------------------------------------------------------------------
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.
The correct answers are:
Question 1 - Part A: f(t)=(t+3)²-29; Part B: (-3, -29), minimum; Question 2 - Part A: H(1) = 124, g(1) = 76.8; H(2) = 166, g(2) = 125.6; H(3) = 176, g(3) = 174.4; H(4) = 154, g(4) = 223.2; Part B: Between 3 and 4 seconds, because that is where the values of g(t) catch up with H(t).
Explanation:
Our quadratic function is in the form f(x)=ax²+bx+c. Our value of a is 1, b is 6, and c is -20.
To write a quadratic in vertex form, first take half of the b value and square it: (6/2)² = 3² = 9. This is what we will add and subtract to the function:
f(t) = t²+6t+9-20-9
The squared portion will be (t+b/2)²:
f(t) = (t+3)²-20-9
f(t) = (t+3)²-29
Vertex form is f(x) = a(x-h)²+k, where (h, k) is the vertex; in our function, (h, k) is (-3, -29).
Since the value of a was a positive, this parabola opens upward; this makes the vertex a minimum.
For Question 2 Part A, substitute the values 1, 2, 3 and 4 in H(t) and g(t).
For Part B, we can see that the values of g(t) are much less than that of H(t) until 3 seconds. From there, we can see that g(t) passes H(t). This means that the solution point, where they intersect, is between 3 and 4 seconds.
Answers
2as = v^2 - u^2
a = (v^2 - u^2) / 2s
Enter your answer in the box.
Answers
Answer:
the answer is 11 1/2.
Step-by-step explanation:
I used a calculator
Answer:
266.0 s ≈ 4.4 min
Step-by-step explanation
1) Data
Wr = 43,576 N
F = 11,918 N
V = 713 m/s
t =?
2) Principles and formulas
Impulse and conservation of momentum
I = F.t = Δp
Δp = mΔv
3) Solution
m = Wr / g = 43,576N / 9.8 m/s^2 = 4,446.5 kg
Δp = mΔv => 4,446.5 kg * 713 m/s = 3,170,354,5 N*s
I = F.t = Δp => t = Δp / F = 3,710,354.5 N*s / 11,918N = 266.0 s
t = 266.0 s ≈ 4.4 min
y/162 - 7/9
Answers
the answer is y=126