Answer:
1st blank: 1
2nd blank: -3
Step-by-step explanation:
![Y_{2} - Y_{1} / X_{2} - X_{1}](https://tex.z-dn.net/?f=Y_%7B2%7D%20-%20Y_%7B1%7D%20%2F%20X_%7B2%7D%20-%20X_%7B1%7D)
1 - 2 / 4 - 5
-1/-1
slope = 1
1 = 4 + b
-3 = b
2 = 5 + b
-3 = b
hope this helps :)
Answer:
Speed = 13.0m/s
Step-by-step explanation:
Given that velocity, v = (ai ± bj)m/s.
Because speed is scalar and has only magnitude, we can obtain it from the velocity by calculating only the magnitude given as:
...Equation 1
From the question, we were given the position vector, r
The velocity can be obtained by differentiating r with respect to time, t
We have that differentiation of a constant is 0.
![v = \frac{dr}{dt} = \frac{d}{dt}[(2.0+5.00t)i + (3.0 - 3.00t^{2})j] \\\\v = 0 + 5.00i + 0 - (6.00t)j](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bd%7D%7Bdt%7D%5B%282.0%2B5.00t%29i%20%2B%20%283.0%20-%203.00t%5E%7B2%7D%29j%5D%20%20%20%5C%5C%5C%5Cv%20%3D%200%20%2B%205.00i%20%2B%200%20-%20%286.00t%29j)
At time t = 2.00s,
![v = 5.00i - (6.00*2.00)j = 5.00i - 12.00j](https://tex.z-dn.net/?f=v%20%3D%205.00i%20-%20%286.00%2A2.00%29j%20%3D%205.00i%20-%2012.00j)
To obtain the speed, we use equation 1
![Speed = \sqrt{(5.00)^{2} + (12.00)^{2} } = \sqrt{25 + 144} \\ \\Speed = \sqrt{169} = 13.00m/s](https://tex.z-dn.net/?f=Speed%20%3D%20%5Csqrt%7B%285.00%29%5E%7B2%7D%20%2B%20%2812.00%29%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B25%20%2B%20144%7D%20%5C%5C%20%5C%5CSpeed%20%3D%20%5Csqrt%7B169%7D%20%3D%2013.00m%2Fs)
<em>Therefore, the speed of the object at time t = 2.00s is 13.00m/s</em>
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area below the solid line ![3x+5y=9](https://tex.z-dn.net/?f=3x%2B5y%3D9)
-----> inequality B
The solution of the inequality B is the shaded area above the solid line ![2x+y=5](https://tex.z-dn.net/?f=2x%2By%3D5)
Using a graphing tool
The solution of the system of inequalities is the shaded area indicated in the attached figure
Answer:
The cardinal number of h is house.
Assuming
![g(x)=3 \sqrt{x-5}+7](https://tex.z-dn.net/?f=g%28x%29%3D3%20%5Csqrt%7Bx-5%7D%2B7%20%20)
and parent function is
![3 \sqrt{x}](https://tex.z-dn.net/?f=3%20%5Csqrt%7Bx%7D%20%20)
to move a function up c units, add c to whole function
to move a function to right c units, minus c from every x
7 was added to whole function and 5was mnused from every x
moved 7 up and 5 to right
2nd option