Answer:
lines a and b are parallel. The slopes are -1/3
None of the lines are perpendicular to each other.
Step-by-step explanation:
To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:
line a: This line goes down one every time it goes over 3, which can be represented by -1/3
line b: This lines goes down one every time it goes over 3, which can also be written as -1/3
line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2
When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.
When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.
Hope this helps :)
1. D. 4 x 4 x 4 x 4 x 4
2. B. 6³ (6 x 6 x 6 = 216)
3. D. (8², 100^1, 11², 5³)
4. D. Sum (There's No addition anywhere in that equation)
5. C. h (Because there's no number before the h²)
6. C. 24
7. C. Raise 9 to the 2nd power (Follow PEMDAS, after doing the parentheses, you need to do the exponents, and C. you need to the exponents)
8. A. 4xy
9. C. 18 (I followed PEMDAS, and received the answer 18)
10. B. 49
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<em>I hope this helps, and Happy Holidays! :)</em>
Answer:
y = 3/7x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 3/7
Point (14, 0)
<u>Step 2: Find y-intercept </u><em><u>b</u></em>
- Substitute: 0 = 3/7(14) + b
- Multiply: 0 = 6 + b
- Isolate <em>b</em>: -6 = b
- Rewrite: b = -6
<u>Step 3: Write linear equation</u>
y = 3/7x - 6
slope is $0.10 <em>($1.00 per 10 tokens = $0.10)</em>
y-intercept is $60 <em>($60 is the annual fee)</em>
y = .10x + 60 <em>(y = mx + b)</em>
domain is x ≥ 0 <em>(you can't buy a negative number of token)</em>
range is y ≥ 60 <em>(input the domain (x ≥ 0) to find the range)</em>
Answer: the y-intercept of the function is $60
I believe it’s 6
Hope this helps you :))
