Answer:
Therefore, equation of the line that passes through (-1,5) and is parallel to the line
is
![y=-2x+3](https://tex.z-dn.net/?f=y%3D-2x%2B3)
Step-by-step explanation:
Given:
.Equation of line
can be written as
...which is in Slope intercept form
To Find:
Equation of line passing through ( -1, 5) and is parallel to the line 2y+4x=-8
Solution:
...........Given
Comparing with,
....general form in slope intercept
Where m =slope
We get
![Slope = m = -2](https://tex.z-dn.net/?f=Slope%20%3D%20m%20%3D%20-2)
We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (-1 , 5) will also have the slope = m = -2.
Now the equation of line in slope point form given by
![(y-y_{1})=m(x-x_{1})](https://tex.z-dn.net/?f=%28y-y_%7B1%7D%29%3Dm%28x-x_%7B1%7D%29)
Substituting the points and so we will get the required equation of the line,
![(y-5)=-2(x-(-1))=-2(x+1)\\\\y-5=-2x-2\\y=-2x+3......Equation\ of\ line](https://tex.z-dn.net/?f=%28y-5%29%3D-2%28x-%28-1%29%29%3D-2%28x%2B1%29%5C%5C%5C%5Cy-5%3D-2x-2%5C%5Cy%3D-2x%2B3......Equation%5C%20of%5C%20line)
Therefore, equation of the line that passes through (-1,5) and is parallel to the line
is
![y=-2x+3](https://tex.z-dn.net/?f=y%3D-2x%2B3)
Answer:
74
Step-by-step explanation:
Because it's stem and leaves, the leaves are the digits DIRECTLY BEHIND the Stem.
74 appears 3 times which is the mode (most) in the set of data
Answer:
It is 5.84 units away from the origin.
Step-by-step explanation:
![d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}}](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%7B%28x2%20-%20x1%29%7D%5E%7B2%7D%20%20%2B%20%7B%28y2%20-%20y1%29%7D%5E%7B2%7D%7D%20)
Therefore:
![d = \sqrt{ {(5 - 0)}^{2} + {(3 - 0)}^{2} } \\ d = \sqrt{ {5}^{2} + {3}^{2} } = \sqrt{25 + 9} \\ d = \sqrt{34} = 5.83951...](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%7B%285%20-%200%29%7D%5E%7B2%7D%20%2B%20%20%7B%283%20-%200%29%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20d%20%3D%20%20%5Csqrt%7B%20%7B5%7D%5E%7B2%7D%20%2B%20%20%7B3%7D%5E%7B2%7D%20%20%7D%20%20%3D%20%20%5Csqrt%7B25%20%2B%209%7D%20%20%5C%5C%20d%20%3D%20%20%5Csqrt%7B34%7D%20%20%20%3D%205.83951...)
Answers
Q2 hypotenuse=2√2
3√2
4√2
5√2
n√2
Q3 hypotenuse=s√2
Q4 leg length =√10,√12,3√2,5√2
Hypotenuse length=√6,√10
Q5 leg 8,7,√10,25√2/2
Hypotenuse 8√2,2√5