Answer:
Both and are solutions to the system.
Step-by-step explanation:
In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.
Step 1: Plug into
The solution verifies the equation.
Step 2: Plug into
The solution verifies both equations. Therefore, is a solution to this system.
Now we must check if the second point is also valid.
Step 3: Plug into
Step 4: Plug into
The solution verifies both equations. Therefore, is another solution to this system.
The value of GK = 18.6, GM = 14.5 AND JZ = 19.9.
From the figure:
MZ is a perpendicular bisector of ∆GHJ.
GM = MJ
GM = 14.5
KZ is a perpendicular bisector of ∆GHJ.
GK = KH
GK = 18.6
Z is the circumcenter of ∆GHJ.
JZ = GZ
JZ = 19.9
Therefore the value of GK = 18.6, GM = 14.5 AND JZ = 19.9.
Learn more about the perpendicular bisector here:
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Answer:
The answer to your question is: y = -2x + 10
Step-by-step explanation:
Data
Point = (1, 8)
Line y = x/2 + 3
perpendicular
slope = 1/2 but the lines are perpendicular, then slope = -2
Equation
( y - y1) = m ( x - x1)
(y - 8) = -2(x - 1)
y - 8 = -2 x + 2
y = -2x + 2 + 8
y = -2x + 10
Y=mx+b
M is the slope
B is the y intercept
In this case 4 is the slope and -9 is the y intercept