Answer:
im helping so thanks for the
Step-by-step explanation:
Area = b * h
Area of orange = area of big square subtract by area of small square
Small square = b^2
Big square = a^2
(a^2 - b^2) = (a - b)( a + b)
Solution: (a - b) (a + b)
Answer:
<h2>x = 1</h2>
Step-by-step explanation:
![-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1](https://tex.z-dn.net/?f=-2%2B4%28-x%2B4%29%3D10%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%3A%7D%5C%20a%28b%2Bc%29%3Dab%2Bac%5C%5C%5C%5C-2%2B%284%29%28-x%29%2B%284%29%284%29%3D10%5C%5C%5C%5C-2-4x%2B16%3D10%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C-4x%2B%28-2%2B16%29%3D10%5C%5C%5C%5C-4x%2B14%3D10%5Cqquad%5Ctext%7Bsubtract%2014%20from%20both%20sides%7D%5C%5C%5C%5C-4x%2B14-14%3D10-14%5C%5C%5C%5C-4x%3D-4%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-4%29%7D%5C%5C%5C%5C%5Cdfrac%7B-4x%7D%7B-4%7D%3D%5Cdfrac%7B-4%7D%7B-4%7D%5C%5C%5C%5Cx%3D1)
Answer:
(a) 0.4
(b) a = 3
Step-by-step explanation:
(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)
(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.