<h3>Answer: Approximately 6.4 units</h3>
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Explanation:
The origin is the point (0,0)
Use the distance formula to find the distance from (0, 0) to (4, -5)
Let
![(x_1,y_1) = (0,0)\\\\(x_2,y_2) = (4,-5)\\\\](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%280%2C0%29%5C%5C%5C%5C%28x_2%2Cy_2%29%20%3D%20%284%2C-5%29%5C%5C%5C%5C)
be our two points. Plug those values into the distance formula below and use a calculator to compute
![d = \sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}\\\\d = \sqrt{\left(0-4\right)^2+\left(0-(-5)\right)^2}\\\\d = \sqrt{\left(0-4\right)^2+\left(0+5\right)^2}\\\\d = \sqrt{\left(-4\right)^2+\left(5\right)^2}\\\\d = \sqrt{16+25}\\\\d = \sqrt{41} \ \text{ exact distance}\\\\d \approx 6.40312 \ \text{ approximate distance}\\\\d \approx 6.4\\\\](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%5Cleft%28x_1-x_2%5Cright%29%5E2%2B%5Cleft%28y_1-y_2%5Cright%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%5Cleft%280-4%5Cright%29%5E2%2B%5Cleft%280-%28-5%29%5Cright%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%5Cleft%280-4%5Cright%29%5E2%2B%5Cleft%280%2B5%5Cright%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%5Cleft%28-4%5Cright%29%5E2%2B%5Cleft%285%5Cright%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B16%2B25%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B41%7D%20%5C%20%5Ctext%7B%20exact%20distance%7D%5C%5C%5C%5Cd%20%5Capprox%206.40312%20%5C%20%5Ctext%7B%20approximate%20distance%7D%5C%5C%5C%5Cd%20%5Capprox%206.4%5C%5C%5C%5C)
The distance between the two points (0,0) and (4,-5) is approximately 6.4 units.
Divide both 6 and 10 by 2 to get 3/5
Multiply both 6 and 10 by 2 to get 12/20
Answer:
The odds to get a blackjack (natural) as arrangement: 128 / 2652 = . 0483 = 4.83%. 4.83% is equivalent to about 1 in 21 blackjack hands.
The given equation is:
x+![\frac{1}{2} (6x-4)=6.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%286x-4%29%3D6.)
Multiplying both sides by 2 we have:
2x + 6x − 4 = 12 [ multiplication property of equality]
Combining like terms:
8x-4=12
Adding 4 both sides
8x=16.[Addition property of equality]
Dividing both sides by 8:
x=2 [Division property of equality.]
The correct option in which the equation is solved are : B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
Answer:
rate of change is -3
A = (9 - 0) / (0 - 3) = 9 / -3 = -3
Step-by-step explanation: