Answer:
Step-by-step explanation:
x=0 y=6-2*0=6
x=1 y=6-2*1=4
x=2 y=6-2*2=2
x=3 y=6-2*3=0
6-2x=3
-6 -6
-2x=-3
2x=3
:2 :2
x=3/2
x=1.5
Answer:
(x + 3)^2 + (y - 2)^2 = 9
Step-by-step explanation:
<u>Equation for a circle: (x – h)^2 + (y – k)^2 = r^2</u>
<u />
<u>Step 1: Determine what h, k, and r are</u>
<em>h is the x value of the point: -3</em>
<em>k is the y value of the point: 2</em>
<em>r is the radius of the circle: 3</em>
<u>Step 2: Plug in and solve</u>
(x – h)^2 + (y – k)^2 = r^2
(x – (-3))^2 + (y – (2))^2 = (3)^2
<em>(x + 3)^2 + (y - 2)^2 = 9</em>
<em />
Answer: (x + 3)^2 + (y - 2)^2 = 9
Answer: On the 29th day
Step-by-step explanation:
According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.
On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.
The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are lilypads on the 30th, and lilypads on the 29th. This can be deduced multiplying succesively by 2.
Answer:
120 trees
Step-by-step explanation:
4x10=40
40x3=120
120 trees will be planted
The mathematical term for a set<span> of </span>ordered pairs<span> is a </span>relation<span>. A </span>relation<span> is any </span>set <span>of </span>ordered pairs<span>. The </span>set of all<span> first </span>components<span> of the </span>ordered pairs<span> is called the domain of the </span>relation<span>, and the </span>set of all second components<span> is called the range of the </span>relation<span>.
I hope my answer helped you.</span>