Slope intercept: y = mx + b
3y = 2x + 10
Y = 2/3x + 10/3
Perpendicular = opposite sign and reciprocal slope
Y = -3/2x + b
-10 = -3/2(10) + b
-10 = -15 + b, b = 5
Equation: y = -3/2x + 5
11/2x=2
2/11(11/2)x=2(2/11)
x=4/11
3x^2 – 5x – 12 = (3x+4<span>)</span>(x-3)
x^2 -9 = (x-3<span>)</span>^2
<span>8x^3+ 12x^2 - 2x - 3 = (4x^2 -
1)(2x + 3)
</span>12x^2 +16x -3= (6x - 1)(2x + 3)
x^2 + 8x - 9= (x + 9<span>)</span>(x - 1) (I <span>can not</span> see
who it can all be positive<span> ;</span>_;<span> )</span>
<span>3(x + y) + a(x + y)= (3x + 3y) + (ax + ay)</span>
Think of variable K as number of trees planted and variable J as number of minutes it takes to plant the trees.
K = _J + _
For every 4 trees planted it takes 2 minutes to plant them, so we now have -4/2. 4 is negative because we don't have an unlimited amount of trees to plant. With this being said, we can use this fraction as J.
K = -4/2J + _
We lose 4 trees every 2 minutes, but how many trees did we initially start out with? According to the graph, we started with 28 trees, so K = -4/2J + 28.
Now we can test this equation out by picking a random dot on the graph: 24/2.
24 = -4/2(2) + 28
24 = -4 + 28
24 = 24
This statement is correct, so our equation is correct.
Answer:
Step-by-step explanation:
x²/a² - y²/b² = 1
center (0,0)
vertex (3,0), so a = 3
focus (9,0)
e = 9/a = 3
directrices: x = ±a/e = ±1
