Answer:
3/2
Step-by-step explanation:
1) Convert into the slope intercept formula.
4x + 6y = 8
6y = -4x + 8
y = -4/6 + 4/3
y = -2/3 + 4/3
2) Find the opposite reciprocal of the slope.
The opposite reciprocal of -2/3 is 3/2.
The perpendicular slope of the line 4x + 6y = 8 is 3/2.
Answer:
A) reflection over the x-axis, plus a vertical translation
Step 1: Problem
Step 2: Concept
The area of the figure is the sum of the area of a triangle and a semi-circle.
Step 3: Method
Perimeters
Height of the triangle = 15cm
Base of the triangle = 2 x Radius of the semi-circle = 2 x 8 = 16cm
Radius r = 8cm
![\begin{gathered} \text{Area of the triangle = }\frac{Base\text{ x Height }}{2} \\ \\ =\text{ }\frac{16\text{ x 15}}{2} \\ =\text{ }\frac{240}{2} \\ =120cm^2 \\ \text{Area of the semi-circle = }\pi r^2 \\ \pi\text{ = 3.14} \\ =\text{ 3.14 }\times8^2 \\ =\text{ 3.14 x 64} \\ =200.96cm^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BArea%20of%20the%20triangle%20%3D%20%7D%5Cfrac%7BBase%5Ctext%7B%20x%20Height%20%7D%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B16%5Ctext%7B%20x%2015%7D%7D%7B2%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B240%7D%7B2%7D%20%5C%5C%20%3D120cm%5E2%20%5C%5C%20%5Ctext%7BArea%20of%20the%20semi-circle%20%3D%20%7D%5Cpi%20r%5E2%20%5C%5C%20%5Cpi%5Ctext%7B%20%3D%203.14%7D%20%5C%5C%20%3D%5Ctext%7B%203.14%20%20%20%7D%5Ctimes8%5E2%20%5C%5C%20%3D%5Ctext%7B%203.14%20x%2064%7D%20%5C%5C%20%3D200.96cm%5E2%20%5Cend%7Bgathered%7D)
Step 4: Final answer
Area of the figure = Area of triangle + Area of semi-circle
= 120 + 200.96
= 320.96
Answer:
if it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth.
The increase after 10 years is (108%)^10 - 100% which is bigger than 80%.