Answer:
Slope <em>m</em> = -5/4
y-intercept <em>b</em> = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Equality Properties
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
[Standard Form] -5x - 4y = -12
<u>Step 2: Rewrite</u>
- Add 5x to both sides: -4y = 5x - 12
- Divide -4 on both sides: y = -5/4x + 3
<u>Step 3: Identify</u>
<em>Break apart the function.</em>
Slope <em>m</em> = -5/4
y-intercept <em>b</em> = 3
(0,0) is the vortex for this problem
1. Rotation by 180° (clockwise or anti-clockwise) about the origin has a rule:
(x,y)→(-x,-y).
Then
(-4,-10)→(4,10).
2. Translation 1 unit to the right has a rule:
(x,y)→(x+1,y).
Then
(4,10)→(5,10).
3. After rotation and translation the image of point (-4,-10) is point (5,10).
Answer: (5,10).
Answer:
a = 76 b = 22 c = 58 d = 68
Step-by-step explanation:
A. 180 - 133 = 47
so you have two angles found, which is 57 and 47. Add them together and subtract from 180. You get 76
B. 68 + 90 = 158
You subtract the 158 from 180 and get 22
C. This took some guess work, but when you multiply 58 by 2 you get 116. When subtracted from 180 you get 64. If you add 58 + 58 + 64, you get 180, so this made sense
D. There's an actual rule in trig that explains this, but I forgot it. If you look at the top angle, the other side of the line added to the 68 is a right angle. So you subtract 68 from 90 and get 12. Because there is already the right angle in the triangle, you just need the other two angles to equal 90, and because of the 68 that we found in the other triangle, this made sense.
Sorry, not the best at explanations. Hope that helped
Answer:
The sampling method applied is Cluster sampling.
Step-by-step explanation:
A cluster sampling method is the type of sampling where first the entire population is divided into homogeneous groups. Then a random sample of these groups are selected.
After selecting a sample of groups, a random sample of fixed size is selected from each group.
In this case all freshmen are first divided into 30 sections, then 4 random sections are selected and the students in those 4 sections are sampled.
The sampling method applied is Cluster sampling.
