Answer:
1. ![\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D)
2. ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
3a. ![-\frac{1}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B4%7D)
3b. 3
3c. ![-\frac{4}{5}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B5%7D)
4. ![m = \frac{y_1 - y_2}{x_1-x_2}\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_1%20-%20y_2%7D%7Bx_1-x_2%7D%5C%5C)
Step-by-step explanation:
1.
Rises 6 inches for every horizontal change of 16 inches
Slope = rise/run
Slope = 6/16
Slope = 3/8
2.
Rises 3 feet for every horizontal change of 12 feet
Slope = rise/run
Slope = 3/12
Slope = 1/4
3a.
![m = \frac{y_1 - y_2}{x_1-x_2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_1%20-%20y_2%7D%7Bx_1-x_2%7D)
![m = \frac{3-2}{-2-2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3-2%7D%7B-2-2%7D)
![m = \frac{1}{-4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%7D%7B-4%7D)
![m = -\frac{1}{4}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B4%7D)
3b.
![m = \frac{y_1 - y_2}{x_1-x_2}\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_1%20-%20y_2%7D%7Bx_1-x_2%7D%5C%5C)
![m = \frac{-1 - 2}{-1-0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-1%20-%202%7D%7B-1-0%7D)
![m = \frac{-3}{-1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-3%7D%7B-1%7D)
![m = 3](https://tex.z-dn.net/?f=m%20%3D%203)
3c.
![m = \frac{y_1 - y_2}{x_1-x_2}\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_1%20-%20y_2%7D%7Bx_1-x_2%7D%5C%5C)
![m = \frac{1 - (-3)}{-1-4}\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%20-%20%28-3%29%7D%7B-1-4%7D%5C%5C)
![m = \frac{4}{-5}\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B4%7D%7B-5%7D%5C%5C)
![m = -\frac{4}{5}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B4%7D%7B5%7D)
4.
![m = \frac{y_1 - y_2}{x_1-x_2}\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_1%20-%20y_2%7D%7Bx_1-x_2%7D%5C%5C)
The answer is b) 61. What you would do is you would add the angles 87 and 32 together and the subtract what you get, which should be 119 from 180. 180 is the total area of a triangle.
Answer:
$1016
Step-by-step explanation:
$1200 x 0.18 = $216
$800 + $216 = $1016
The quotient of 4.2 and a number is less than or equal to 21.
Answer:
x = 6.3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle triangle. We can use trig to find the missing length.
<u>Step 2: Identify Variables</u>
<em>POV from the angle measure</em>
Angle = 64°
Opposite = 13
Adjacent = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: tan64° = 13/x
- Multiply <em>x </em>on both sides: xtan64° = 13
- Isolate <em>x</em>: x = 13/tan64°
- Evaluate: x = 6.34052