3*2=6
6-x-2=0
4=x
The answer is 4
Answer:
y = 10.5x - 37
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Equality Properties
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-4, 47)
Point (2, -16)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract/Add:

- Simplify:

<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = 21/2x + b
- Substitute: -16 = 21/2(2) + b
- Multiply: -16 = 21 + b
- Isolate <em>b</em>: -37 = b
- Rewrite: b = -37
<u>Step 4: Write linear equation</u>
<em>Combine all parts.</em>
y = 21/2x - 37
y = 10.5x - 37
And we have our final answer!
Answer:
39
Step-by-step explanation:
Since we are multiply the shorter side by 6.5 (you can find this by dividing 26 over 4) We have to do the same for the longer side and by multiplying we get 39, which is the answer.
Answer to problem 1 is (9,9)
Answer to problem 2 is (0,-4)
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Explanation:
To find the component form, they basically want the translation rule. To find the translation rule, we subtract the coordinates tip - head
In general, if we have two vectors M and N such that
M = (a,b)
N = (c,d)
then
vector MN = (c-a, d-b)
Applying this to the vector CD gives us
vector CD = (7-(-2), 10-1) = (7+2, 10-1) = (9, 9)
Basically meaning that we shift point C nine units to the right and nine units up to get to point D
Similarly,
vector RS = (-4-(-4), -3-1) = (-4+4, -3-1) = (0,-4)
so we shift point R four units down to get to point S