Answer:
d=20
Step-by-step explanation:
To find the distance between 2 points we use the distance formula
d = √(x2 - x1)²+(y2 - y1)²
The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).
Substitute the given points into the distance formula.
d = √(4 + 8)²+(10 +6)²
d = √144+252
d= √400
d = 20
Some equivalent fractions of 1/6 are:
1/6 = 2/12 = 3/18 = 4/24 = 5/30 = 6/36 = 7/42 = 8/48 = 9/54 = 10/60 = 11/66 = 12/72 = 13/78 = 14/84 = 15/90 = 16/96 = 17/102 = 18/108 = 19/114 = 20/120 = 21/126 = 22/132 = 23/138 = 24/144 = 25/150 = 26/156 = 27/162 = 28/168 = 29/174 = 30/180 = 31/186 = 32/192 = 33/198 = 34/204 = 35/210 = 36/216 = 37/222 = 38/228 = 39/234 = 40/240
Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.
And many more.
The approach or formula to use depends on the question.
In this case, the combined function is:
The savings function is given as
The allowance function is given as:
The new function that combined his savings and his allowances is calculated as:
Substitute values for s(x) and a(x)
Open bracket
Collect like terms
Read more about functions at:
brainly.com/question/15458447
We want to see how much the population of goats grows each year. We will see that the correct option is c: 17%.
<h3>
Exponential growth of populations</h3>
We know that:
- The initial number of goats is 1,500.
- After 11 years, the population is 8,400.
The population can be modeled with an exponential equation as:
P(t) = A*(1 + r)^t
Where:
- A is the initial population.
- r is what we want to find, it depends on how much the population increases.
- t is the time in years.
So we have:
P(t) = 1500*(1 + r)^t
And we know that after 11 years the population is 8,400, so we have:
P(11) = 1500*(1 + r)^11 = 8400
Now we can solve this for r:
(1 + r)^11 = 8400/1500 = 5.6
(1 + r) = (5.6)^(1/11) = 1.17
r = 1.17 - 1 = 0.17
r = 0.17
To get it in percentage form, you just need to multiply it by 100%
0.17*100% = 17%
This means that the population increases a 17% each year, so the correct option is c.
If you want to learn more about exponential growth, you can read:
brainly.com/question/13223520
