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LUCKY_DIMON [66]
3 years ago
15

Solve the equation by graphing. m^2 = 2m + 8

Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

Answer:

m= 4, -2

Step-by-step explanation:

move everything to one side.

m^2-2m-8=0

then factor

(m-4)(m+2)

then

m= 4, -2

hope this helps!

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nikdorinn [45]

Answer:

\angle ABC=20^{\circ}

Step-by-step explanation:

Since each side of a line is 180 degrees, we can write the following system of equations:

\begin{cases}2x+12y+x+2y=180,\\x+2y+8y-4x=180\end{cases},\\\begin{cases}3x+14y=180,\\-3x+10y=180\end{cases}

Add both equations to solve for y:

24y=360,\\y=\frac{360}{24}=15

Now substitute y=15 into 3x+14y=180 to solve for x:

3x+14(15)=180,\\3x=-30,\\x=-10

Finish by substituting both variables to solve for \angle ABC:

\angle ABC=x+2y,\\\angle ABC=-10+2(15),\\\angle ABC=-10+30=\boxed{20^{\circ}}

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