4. Please help. If PG=−x+10, and GO=−3(x+2), what is the length of PO⎯⎯⎯⎯⎯⎯⎯⎯?
Answers
Answer:36
Step-by-step explanation:
Set PG=GO
-x+10 = -3x-6
Solve for x: x= -8
PG+GO=PO
-x+10-3x-6=PO
combine like terms: -4x+4= PO
Substitute your x value (-8) for x
-(-8)+10-3(-8)-6= 36
PO= 36
Final answer:
The length of line segment PO can be found by adding the lengths of line segments PG and GO. This results in a final equation of PO = -4x + 4.
Explanation:
In mathematical problems involving geometrical shapes, it is common to solve for lengths and distances. To determine the length of PO, we have to sum the lengths of PG and GO because, in a straight line, the total distance from point P to point O is the sum of segment PG and segment GO: PO = PG + GO.
Substitute the given equations into this expression to get: PO = (-x + 10) + (-3(x+2)). Simplifying this we get PO = -x + 10 -3x -6, and by combining like terms, we find that PO = -4x +4.
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15 x 6 = 90
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but if im not right im sorry :(
but hope this helped :)
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Determine the y-coordinate of the solution for the system of equations. You may use any method. 2x-y=10
x+y=2
Plz help i really don't understand these two Q please help by showing me step by step ;-; im so sorry
Answers
make y the subject for both equations
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x + y = 2, y = 2 - x
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2 + 10 = 2x + x
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Sub x into an equation to find y
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