The Mississippi river is 2,336.8 miles long
Answer:
2 3/4
Step-by-step explanation:
I think is the right answer hope it helps
The standard form:
![Ax+By=C](https://tex.z-dn.net/?f=Ax%2BBy%3DC)
The point-slope form:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
m - slope
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (6, 1) and (5, 4). Substitute:
![m=\dfrac{4-1}{5-6}=\dfrac{3}{-1}=-3](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B4-1%7D%7B5-6%7D%3D%5Cdfrac%7B3%7D%7B-1%7D%3D-3)
<em>use distributive property</em>
<em>add 1 to both sides</em>
<em>add 3x to both sides</em>
![\boxed{3x+y=4}](https://tex.z-dn.net/?f=%5Cboxed%7B3x%2By%3D4%7D)
The side is -15 and the top is 56
Answer:
L = 10.64°
Step-by-step explanation:
From the given information:
In triangle JKL;
line k = 9.6 cm
line l = 2.7 cm; &
angle J = 43°
we are to find angle L = ???
We can use the sine rule to determine angle L:
i.e
![\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}](https://tex.z-dn.net/?f=%5Cdfrac%7Bj%7D%7BSIn%20%5C%20J%7D%20%3D%20%5Cdfrac%7Bl%7D%7B%20SIn%20%5C%20L%7D)
Using Pythagoras rule to find j
i,e
j² = k² + l²
j² = 9.6²+ 2.7²
j² = 92.16 + 7.29
j² = 99.45
![j = \sqrt{99.45}](https://tex.z-dn.net/?f=j%20%3D%20%5Csqrt%7B99.45%7D)
j = 9.97
∴
![\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}](https://tex.z-dn.net/?f=%5Cdfrac%7B9.97%7D%7BSin%20%5C%2043%7D%20%3D%20%5Cdfrac%7B2.7%7D%7B%20Sin%20%5C%20L%7D)
![{9.97 \times Sin (L ) = (2.7 \times Sin \ 43)](https://tex.z-dn.net/?f=%7B9.97%20%5Ctimes%20%20%20%20Sin%20%28L%20%29%20%3D%20%282.7%20%5Ctimes%20Sin%20%5C%2043%29)
![= Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ = Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 } \\ \\ = Sin \ L = 0.18466 \\ \\ L = Sin^{-1} (0.18466) \\ \\ L = 10.64 ^0](https://tex.z-dn.net/?f=%3D%20%20Sin%20%5C%20L%20%3D%20%5Cdfrac%7B%20%282.7%20%5Ctimes%20Sin%20%5C%2043%29%7D%7B9.97%20%7D%20%5C%5C%20%5C%5C%20%3D%20%20Sin%20%5C%20L%20%3D%20%5Cdfrac%7B%20%282.7%20%5Ctimes%200.6819%29%7D%7B9.97%20%7D%20%20%5C%5C%20%5C%5C%20%20%3D%20Sin%20%5C%20L%20%3D%200.18466%20%5C%5C%20%5C%5C%20%20L%20%3D%20Sin%5E%7B-1%7D%20%280.18466%29%20%5C%5C%20%5C%5C%20%20L%20%3D%2010.64%20%5E0)