Answer:
k = -8
Step-by-step explanation:
The location of P is ...
P = (2A+B)/3 = (2·2+5, 2·1-8)/3 = (3, -2)
Putting this point into the equation for the line, we have ...
2(3) -(-2) +k = 0
8 +k = 0
k = -8
Independent variable: the variable that affects the dependent variable and creates a change
Dependent variable: depends on the independent variable
1. Independent variable: John’s age
Dependent variable: height
2. Independent: gallons of milk
Dependent: cups of milk
3. Independent: population
Dependent: number of representatives
4. Independent: Number of seats
Dependent: amount of tickets
5. Independent: time
Dependent: plane’s altitude
6. Independent: more music download
Dependent: more money spent
Make an equation
X+X+200=1500
Isolate the variable
2x=1300
X=650
Know that we know what X is, we know that X + 200 will equal the cost of the second appliance
650+850=1500
We know that the Pythagorean Theorem is a² + b² = c² and that the area of a square is l x w.
Firstly, we'll have to find the two measures of the triangle that correspond to the areas.
Since the figures are squares, we know that the length and width values must be the same.
We could square the numbers to find the side lengths, however we would have to square them again when substituting for the Pythagorean Theorem, so we can leave them as-is and adjust the equation accordingly.
(33) + b² = (44)
Next, we'll subtract our smaller value from our larger.
b² = (11)
Once again, we could find the square root of this number, but we'd just have to square it again to find the area of the square, so we can just simply write our answer as 11 units.
Therefore, the area of the square is 11 units!
<em>Hope this helped! :)</em>
Answer:
<u>$4,680</u>
Step-by-step explanation:
<u>Rate</u> : 10 dollars a week
- Per year : 10 x 52 = $520
- 9 x 520 = $4,680
You will have saved up <u>$4,680</u> in 9 years.