Answer: 6,8 and 10
Step-by-step explanation:
To find the length , all we need to find is the distance between each point ,
the formula for calculating distance between two points is given by :
D = 
Let the points be :
A ( -5,-1)
B(-5,5)
C(3,-1)
Calculating the length AB , we have
D1 =
D1 = 
D1 = 
D1= 6
Calculating the length AC , we have
D2 =
D2 = 
D2 = 
D2 = 8
Calculating the length BC , we have
D3 =
D3 = 
D3 = 
D3 = 10
Therefore ,the length of the sides of the triangle are 6,8 and 10
Answer:
y = 12
Step-by-step explanation:
y = 8 is the equation of a horizontal line, parallel to the x- axis.
Thus a parallel line will also be horizontal.
The equation of a horizontal line is
y = c
where c is the y- coordinates of the points it passes through.
The line passes through (- 6, 12) with y- coordinate of 12, thus
y = 12 ← equation of parallel line
Answer:
Step-by-step explanation:
given are the two following linear equations:
f(x) = y = 1 + .5x
f(x) = y = 11 - 2x
Graph the first equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.
If x = 0, then f(0) = 1 + .5(0) = 1
If y = 0, then f(x) = 0 = 1 + .5x
-.5x = 1
x = -2
The resulting data points are (0,1) and (-2,0)
Graph the second equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.
If x = 0, then f(0) = 11 - 2(0) = 11
If y = 0, then f(x) = 0 = 11 - 2x
2x = 11
x = 5.5
The resulting data points are (0,11) and (5.5,0)
At the point of intersection of the two equations x and y have the same values. From the graph these values can be read as x = 4 and y = 3.
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Answer:
a. 5 + 2m
b. 5m
c. 40m + 35
Step-by-step explanation:
