Each interior angel of a regular polygon has measure 2x+4 degrees. What is x?
1 answer:
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Answer: y = -3x + 10
Step-by-step explanation:
Using the formula for finding the equation of line ;
y - = m ( x -
)
= 4
= -2
m = -3
Substituting into the formula , we have
y - (-2) = - 3 ( x - 4 )
y + 2 = -3x + 12
writing the equation of the line in slope - intercept form , this means that we must make y the subject of the formula , that is
y = -3x + 12 - 2
y = -3x + 10
Answer:
y=7/3x²-13/3x+2
Step-by-step explanation:
<u>Determine the value of c:</u>
y=ax²+bx+c
2=a(0)²+b(0)+c
2=c
<u>Substitute (1,0) into the quadratic and create an equation with a and b:</u>
y=ax²+bx+2
0=a(1)²+b(1)+2
0=a+b+2
-2=a+b
<u>Do the same with (3,10) to get a second equation:</u>
y=ax²+bx+2
10=a(3)²+b(3)+2
10=9a+3b+2
8=9a+3b
<u>Set the two equations equal to each other and solve for a and b:</u>
-2=a+b
8=9a+3b
<u>Multiply first equation by 3 and eliminate b to find a:</u>
-6=3a+3b
- (8=9a+3b)
_______
-14=-6a
14/6=a
7/3=a
<u>Substitute 7/3=a into the first equation:</u>
-2=7/3+b
-2-(7/3)=b
-13/3=b
<u>Final equation:</u>
y=7/3x²-13/3x+2
See the graph for a visual representation
