Answer: the speed of the current is 0.6 mph
Step-by-step explanation:
Let x represent the speed of the current.
James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream. Assuming he went with the current, it means that his total speed while travelling downstream is (3 + x)
Time = distance/speed
Time taken to travel downstream is
6/(3 + x)
In the same amount of time, he can travel 4 miles upstream. Assuming he went against the current, it means that his total speed while travelling downstream is (3 - x). Time taken to travel upstream is
4/(3 - x)
Since the time is the same, then
6/(3 + x) = 4/(3 - x)
Cross multiplying, it becomes
6(3 - x) = 4(3 + x)
18 - 6x = 12 + 4x
4x + 6x = 18 - 12
10x = 6
x = 6/10
x = 0.6 mph
Idk what linear combination is but you can solve this way:
3x+y=4
-2x-y=-5
x=-1
3(-1)+y=4
-3+y=4
y=7
So x=-1 and y=7
Answer:
Choice C: ![m=\frac{1}{2}; y=\frac{1}{2} x+4](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B2%7D%3B%20y%3D%5Cfrac%7B1%7D%7B2%7D%20x%2B4)
Step-by-step explanation:
To find your slope do:
![\frac{y^2-y^1}{x^2-x^1}](https://tex.z-dn.net/?f=%5Cfrac%7By%5E2-y%5E1%7D%7Bx%5E2-x%5E1%7D)
![\frac{3-4}{-2-0}=\frac{-1}{-2} =\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3-4%7D%7B-2-0%7D%3D%5Cfrac%7B-1%7D%7B-2%7D%20%3D%5Cfrac%7B1%7D%7B2%7D)
that's how you get 1/2
4 is just the y-int.
The equivalent ratio of 9:25 is 36:100.
Ratio expresses the degree of proportionality between two or more numbers. It expresses the number of times one number is contained in another number.
In order to make the ratios equal, the relationship that exists between 9 and 36 has to be determined. 36 is a multiple of 9. It is 9 multiplied by 4. So, in order to make the ratios equal, multiply, 25 by 4.
25 x 4 = 100
To learn more about ratios, please check: brainly.com/question/17995727
Answer:
Step-by-step explanation:
You can use Pythagoras Theorem,
![8^{2} + y^{2} = (8\sqrt{6} )^{2} \\ y^{2} = (8\sqrt{6} )^{2} - 8^{2} \\y^{2} = 384 - 64\\y^{2} = 320\\y = \sqrt{320}](https://tex.z-dn.net/?f=8%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%20%3D%20%288%5Csqrt%7B6%7D%20%29%5E%7B2%7D%20%5C%5C%20%20%20%20%20%20y%5E%7B2%7D%20%20%20%20%20%20%20%20%3D%20%288%5Csqrt%7B6%7D%20%29%5E%7B2%7D%20-%208%5E%7B2%7D%20%5C%5Cy%5E%7B2%7D%20%3D%20384%20-%2064%5C%5Cy%5E%7B2%7D%20%3D%20320%5C%5Cy%20%20%3D%20%5Csqrt%7B320%7D)
∴
Hope that helps!!
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