<h3>
Answer: -6/5</h3>
Explanation:
The blue diagonal line goes through the two points (0,2) and (5,-4). These are shown as the dark blue enlarged points. You can pick any other points you want that are on the diagonal line, though these are the easiest as they stand out the most.
Use the slope formula to find the slope through these points
m = (y2-y1)/(x2-x1)
m = (-4-2)/(5-0)
m = (-6)/(5)
m = -6/5
The negative slope means the line goes downhill as you move from left to right along the diagonal line.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (2, 5)
Point (6, 7)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute in points [Slope Formula]:
- [Fraction] Subtract:
- [Fraction] Simplify:
Answer:
5. y = -1/2x + 6
6. y = 1/2x + 150
7. y = 10x + 20
8. y = 25x
Step-by-step explanation:
Look at the y-intercept and eliminate the answers you dont need.
Then find the slope of each.
Answer:
1922.7 cubic inches
Step-by-step explanation:
The volume of a cylinder can be found with this formula:
V=πr^2h
The radius, r, is half the diameter.
So, 12/2=6
r=6 inches
Then, just plug the numbers in.
V=π(6)^2(17)
V=1922.65
Rounding to the nearest tenth:
V=1922.7 cubic inches
Answer:
z + 12 = 9
Reorder the terms:
12 + z = 9
Solving
12 + z = 9
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + z = 9 + -12
Combine like terms: 12 + -12 = 0
0 + z = 9 + -12
z = 9 + -12
Combine like terms: 9 + -12 = -3
z = -3
Simplifying
z = -3
Step-by-step explanation:
