Answer:
2.462
Step-by-step explanation:
![2+0.4+0.06+0.002 \\ = 2.462](https://tex.z-dn.net/?f=2%2B0.4%2B0.06%2B0.002%20%5C%5C%20%20%3D%202.462)
Answer:
D. ![\sqrt {2665}](https://tex.z-dn.net/?f=%5Csqrt%20%7B2665%7D)
Step-by-step explanation:
We have been given the points A (-4, 52), B (3, 92), C (4, 1) and D (-3, -1).
Length of the diagonal AC can be calculated from the distance between two points formula or we can also use Pythagoras theorem to calculate the length of the diagonal. But to calculate the length of the diagonal from pythagoras theorem we need to calculate the length of the sides AB and BC, therefore, we will use distance formula to calculate the length of diagonal AC, directly.
Co-ordinates of point A is (-4, 52) and C is (4, 1), using the distance formula we get,
![d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28y_2-y_1%29%5E2%2B%28x_2-x_1%29%5E2%7D)
![d=\sqrt{(1-52)^2+(4-(-4))^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%281-52%29%5E2%2B%284-%28-4%29%29%5E2%7D)
![d=\sqrt{8^2+(-51)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B8%5E2%2B%28-51%29%5E2%7D)
![d= \sqrt{64+2601}](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B64%2B2601%7D)
![d=\sqrt{2665}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B2665%7D)
Therefore, the length of diagonal AC is
, the closest option is option D.
So here's the question or a picture
<h2>
Answer:</h2>
![y=-3\left(x+6\right)](https://tex.z-dn.net/?f=y%3D-3%5Cleft%28x%2B6%5Cright%29)
<h2>
Step-by-step explanation:</h2>
From the given graph, we can know two points:
![P_{1}(x_{1},y_{1})=(2,0) \ and \ P_{2}(x_{2},y_{2})=(1,3)](https://tex.z-dn.net/?f=P_%7B1%7D%28x_%7B1%7D%2Cy_%7B1%7D%29%3D%282%2C0%29%20%5C%20and%20%5C%20P_%7B2%7D%28x_%7B2%7D%2Cy_%7B2%7D%29%3D%281%2C3%29)
Using the slope intercept form of the equation of a line, we get:
![y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1}) \\ \\ y-0=\frac{3-0}{1-2}(x-2) \\ \\ y=-3(x-2) \\ \\ y=-3x+6](https://tex.z-dn.net/?f=y-y_%7B1%7D%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%28x-x_%7B1%7D%29%20%5C%5C%20%5C%5C%20y-0%3D%5Cfrac%7B3-0%7D%7B1-2%7D%28x-2%29%20%5C%5C%20%5C%5C%20y%3D-3%28x-2%29%20%5C%5C%20%5C%5C%20y%3D-3x%2B6)
Where the slope is
and the y-intercept is ![b=6](https://tex.z-dn.net/?f=b%3D6)
From mathematics, we know that a system of two linear equations has no solution if and only if the two equations have the same slope, but not the same y-intercept. So, from the options, the second equation is:
![y=-3(x+6)](https://tex.z-dn.net/?f=y%3D-3%28x%2B6%29)
And the slope intercept form of this equation is:
![y=-3x-18](https://tex.z-dn.net/?f=y%3D-3x-18)
So the slope is
and the y-intercept is
, the systems formed by these two equations has no solution.
Answer:
The weight in each bag is 4.39lb.
Step-by-step explanation:
To solve this, you simply need to divide 96.58 by 22. The reason you do this is so that way you can divide all of the weight into 22 bags.
96.58 ÷ 22 = 4.39
This means that the weight in each bag is 4.39lb.