Step-by-step explanation:
the slope perpendicular to y= ¾x is
-1 ÷ ¾ = -4/3
so the equation :
y-(-3)= -4/3(x-3)
y+3= -4/3x +4
y = -4/3x +4-3
y = -4/3x + 1
Answer:
the perimeter is 64
Step-by-step explanation:
the length is 24 because 8*3 = 24 and since it is perimeter of a rectangle there are two sides that are the same length which is the length are 24+24 and width is 8+8 and all together
24+24+8+8=64
2x + 8 > 10
You first move + 8 to the other side, so you subtract 8
(When you see addition, you perform subtraction)
2x + 8 - 8 > 10 - 8
+ 8 and - 8 cancels out
2x > 2
Now, to isolate x, you should divide both sides by 2
(When you see multiplication, you perform division)
>
2 and 2 cancels out and we are left with
x > 1
So your final answer will be x > 1
This is a perfect example of exponential decay. In this case the growth factor should be represented by a fraction, and it is! This forest, starting out with apparently ( 800? ) pine trees, has a disease spreading, which kills 1 / 4th of each of the pine trees yearly. Therefore, the pine trees remaining should be 3 / 4.
Respectively 3 / 4 should be the growth factor, starting with 800 pine trees - the start value. This can be represented as such,
- where a = start value, b = growth factor, t = time ( <em>variable quantity</em> )
____
Thus, the function can model this problem. The forest after t years should have P( t ) number of pine trees remaining.