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Salsk061 [2.6K]
3 years ago
10

Please show me how to solve this.

Mathematics
1 answer:
zzz [600]3 years ago
5 0

Answer:

A = (0,4)

B = (5,9)

Step-by-step explanation:

y=-x²+6x+4

So c=4

=> A = (0,4)

find the equation of the straight line with the 2 points you have:

(0,4) and (2,6)

put them in y=ax+b and find a & b

4 = a \times 0 + b =  \\ 6 = a \times 2 + b

So b=4 & a=1 => y=x+4

Put the equation of line and parabola equal:

y = x  + 4 \\ y =  -  {x}^{2}   + 6x + 4 \\  \\ x + 4 =  - {x}^{2}   + 6x + 4 \\  {x}^{2}  - 5x = 0 \\ x(x - 5) = 0

So x=0 or x=5

We know x=0 is where A located on

so B is located on x=5

y=x+4

<em>put </em><em>x=</em><em>5</em>

y=9

Finally:

A = (0,4)

B = (5,9)

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