Please help I'm so close to being done and I don't know how to do this!!! Pls give answer but show how to do it!!!

Mathematics

1 answer:

cestrela7 [59]2 years ago

4 0

Answer:

8y + 16

Step-by-step explanation:

The shaded area is the difference of the large and small squares.

Area of large square:

A(l) = (y + 4)²

Area of small square:

A(s) = y²

Shaded area:

A = A(l) - A(s)
A = (y + 4)² - y² = y² + 8y + 16 - y² = 8y + 16

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Use the quadratic formula to solve the quadratic equation. SHOW ALL WORK. 2 −8+41 = 0

horsena [70]

Answer:

Solving the equation $x^2-8x+41=0$ using quadratic formula we get $x=4+5i \ or \ x=4-5i$

Step-by-step explanation:

We need to solve the equation $x^2-8x+41=0$ using quadratic formula.

The quadratic formula is:

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

where a=1, b=-8 and c=41

Putting values in formula and finding x

$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$\\$x=\frac{-(-8)\pm\sqrt{(-8)^2-4(1)(41)}}{2(1)}$\\$x=\frac{8\pm\sqrt{64-164}}{2}$\\$x=\frac{8\pm\sqrt{-100}}{2}$\\We \ know \ \sqrt{-1}=i\\x=\frac{8\pm10i}{2}\\x=\frac{8+10i}{2} \ or \ x=\frac{8-10i}{2}\\x=4+5i \ or \ x=4-5i$