Which equation represents the line that passes through points B and C on the graph? A: y=-2x-6

B:y=-2x+10

C:y=2x-6

D:y=2x+10

Which equation represents the line that passes through points B and C on the graph?

A: y=-2x-6
B:

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Ответ:

mlandon922

21.10.2020

Mathematics

1) x=-0.5 and x=-3.41

2) 12x^2

Step-by-step explanation:

a) 7-x^2=4x-5

7-x^2-4x+5=0

-x^2-4x-2=0

Multiply by -1

x^2+4x+2=0

Solve using quadratic formula $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

we have a=1, b=4, c=2

Putting values to find x

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(4)\pm\sqrt{(4)^2-4(1)(2)}}{2(1)}\\x=\frac{-4\pm\sqrt{16-8}}{2}\\x=\frac{-4\pm\sqrt{8}}{2}\\x=\frac{-4+\sqrt{8}}{2} \ and \ x=\frac{-4-\sqrt{8}}{2}\\x=-0.5 \ and \ x=-3.41$

So, x=-0.5 and x=-3.41

b) Simplify

3x(x+6)-3x(6-3x)

$3x(x+6)-3x(6-3x)\\=3x^2+18x-18x+9x^2\\=3x^2+9x^2\\=12x^2$

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Which equation represents the line that passes through points B and C on the graph? A: y=-2x-6 B:y=-2x+10 C:y=2x-6 D:y=2x+10