1 answer:
The correct answer is a) Amy's solutions are correct.
Since she wanted the intersection point of the equations, she had to set them equal. Once she did she had
x²+3x-5=4x+1
Gathering the variables on one side of the equation, she subtracted 4x from each side:
x²+3x-5-4x=4x+1-4x
x²-x-5=1
Quadratics should be equal to 0 when we solve them, so she subtracted 1 from each side:
x²-x-5-1=1-1
x²-x-6=0
She then factored her expression; factors of -6 that sum to -1 are -3 and 2:
(x-3)(x+2)=0
Using the zero product property we know that either x-3=0 or x+2=0; therefore x=3 or x=-2.
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Answer:
x= (5±√29)÷2
Step-by-step explanation:
Quadratic formula:
x= (-b±√b²-4ac)÷2a
If point Y is between points X and Z, then
XY + YZ = XZ
In words, the distance from X to Y, plus the distance from Y to Z, is equal to the distance from X to Z. (See the attached picture.)
So 6b + 8b = 175
Can you finish it?
1/2*(2*8)=3*(-12)
1/2*16=3*(-12)
1/2*16= -36
8= -36
The equality is false because the left hand and right hand side are different
