Logarhythm

4 x (4 + 5) = (x - 2)(x + 4 + x - 2)

4 x 9 = (x - 2)(2x + 2)

36 = 2x² - 2x - 4

x² - x - 2 = 18

x² - x - 20 = 0

(x - 5)(x + 4) = 0

x = 5

x = -4 (can't be negative distance)

1 foot = 12 inches.

This means the other leg is: \(\sqrt{34^2-12^2} = \sqrt{1012} = 2\sqrt{253}\)

Which means the perimeter of this triangle is 

\(2\sqrt{253} + 12 + 34 = 46 + 2\sqrt{253} ≈ 77.81\)

So your answer is 46 + 2√253 inches, or aboutt 77.81 inches

The top and bottom areas are: \(2 \cdot \frac{7 + 15}{2} \cdot 5 = 110\) ft²

The back side's area is 9.4 x 11 = 103.4 ft²

The front side is 5 x 11 = 55 ft²

The right side is 15 x 11 = 165 ft²

And finally the left side is 7 x 11 = 77 ft²

This means the surface area is 110 + 103.4 + 55 + 165 + 77 = 510.4 ft²

Let me know if I did anything wrong :)

You can break the shapes up. The left triangle's area is 0.5 x 2 x 2 = 2 units²

The square's area is 2 x 2 = 4 units², and finally the right side triangle's area is 0.5 x 2 x 6 = 6 units²

6 + 4 + 2 = 12 , just like centslord said :)

Sorry for the late response; you could use the third green and third red, but split up this shape differently from what I first answered. 

The top half is going to be cut into a rectangle with dimensions 11 and 4. 

This means the area is 11 x 4 = 44 ft²

Then the bottom half has dimensions (11 - 4) and 6. 

This means the area is 7 x 6 = 42 ft²

(4 x 4) + ((11 - 4) x (6 + 4))

= 16 + (7 x 10)

= 16 + 70

= 86 ft²

The radius is half the diameter, which means it's 9 mm

let x = a²

a⁴ - 5a² + 6

= x² - 5x + 6

= (x - 6)(x + 1)

= (a² - 6)(a² - 1)

I think that's what the question is asking..

y = x² + 6x - 16 

y = x² + 6x + 9 - 9 - 16 

y = (x + 3)² - 25 

The vertex is (-3, -25)

The y intercept is when x is zero, which mean it's:
y = (0 + 3)² - 25

y = 9 - 25

y = -16 (which is also just the "c" in the quadratic form)

(0, -16)

Finally, the x intercepts are: 

0 = (x + 3)² - 25

25 = (x + 3)²

± 5 = x + 3

x = 2  (2, 0)

x = -8 (-8, 0)

Hope this helps :)