Answer:
m = -1/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
9m - m + 3 = -2(m + 1)
<u>Step 2: Solve for </u><em><u>m</u></em>
- Combine like terms: 8m + 3 = -2(m + 1)
- Distribute -2: 8m + 3 = -2m - 2
- Add 2m on both sides: 10m + 3 = -2
- Isolate <em>m</em> term: 10m = -5
- Isolate <em>m</em>: m = -1/2
Answer:
-8
Step-by-step explanation:
It's basically -4-4. Which means -(4+4) = -8.
5 3/4
5 remainder 3
Is the mixed number
Answer: (x,y) → (x - 2, y - 8)
Step-by-step explanation:
Two units to the left would mean decreasing value on the x-axis, making it -2.
Eight units down would, again, mean decreasing value on the y-axis, making it -8.
Therefore, (x,y) → (x - 2, y - 8) is the correct translation rule.
I hope this helps :)
I get it, Geometry can be pretty difficult sometimes... I'm in it right now lol
Since M divides segment AB into a ratio of 5:2, we can say that M is 5/(5+2) of the length of AB. Therefore 5/7 × AB.
distance of AB = d
5/7×(x2 - x1) for the x and 5/7×(y2 - y1) for the y
5/7×(8 - 1) = 5/7 (7) = 5 for the x
and 5/7×(16 - 2) = 5/7 (14) = 10 for the y
But remember the line AB starts at A (1, 2),
so add 1 to the x: 5+1 = 6
and add 2 to the y: 10+2 = 12
Therefore the point M lies exactly at...
A) (6, 12)