Solve the system of equations Y=2x+3. Y=x^2+3x+3

x= -1

y= 1

Step-by-step explanation:

Set both equations equal to each other

2x+3=x^2+3x+3 then solve for x

2x=x^2+3x the 3 on either side cancel out

-x=x^2

-1=x

Then plug -1 in for one of the equations to solve for y

Y=2(-1)+3

Y=1

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

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step-by-step explanation:

domit