Mathematics: the area of triangle LMN is 26 square units. the triangle is reflected across LM and then translated 3 units to the right and 4 units up. what is the area of the resulting triangle?

Step-by-step explanation:The quadratic formula is given by , where represents both real and nonreal solutions to a quadratic in standard form .Thus, with the given quadratic , we can assign values:Substituting in these values to the quadratic formula, we have:Verify by factoring:...

the area of triangle LMN is 26 square units. the triangle

Ответ:

mullanebrianot3dpw

02.02.2022

Mathematics

26 square units

Step-by-step explanation:

Reflection and translation are rigid motions that do not affect the size or shape of the triangle. It has the same area as the original: 26 units².

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Ответ:

lburch112

26.03.2022

Mathematics

$x=1,\\x=-3$

Step-by-step explanation:

The quadratic formula is given by $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ , where represents both real and nonreal solutions to a quadratic in standard form ax^2+bx+c .

Thus, with the given quadratic x^2+2x-3 , we can assign values:

Substituting in these values to the quadratic formula, we have:

$x=\frac{-2\pm\sqrt{2^2-4(1)(-3)}}{2(1)}, \\\\x=\frac{-2\pm\sqrt{16}}{2},\\\\x=\frac{-2\pm 4}{2},\\\\\begin{cases}x=\frac{-2+4}{2},x=\frac{2}{2}=\boxed{1}\\x=\frac{-2-4}{2},x=\frac{-6}{2}=\boxed{-3}\end{cases}$

Verify by factoring:

$x^2+2x-3=0,\\(x+3)(x-1)=0,\\\begin{cases}x+3=0,x=\boxed{-3}\:\checkmark\\x-1=0,x=\boxed{1}\:\checkmark\end{cases}$

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the area of triangle LMN is 26 square units. the triangle is reflected across LM and then translated 3 units to the right and 4 units up. what is the area of the resulting triangle?

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