Answer:
y=1/2x+3
Step-by-step explanation:
So the slope formula is y=mx+b. Where mx is the slope and b is the y-intercept. In this case our slope is 1/2 because we rise by one unit and run by 2 units. The y-intercept in this case is 3 because on the y axis the line intersects over 3.
Hopefully that helped :).
Answer:
0.3
Step-by-step explanation:
Given:
Number of small dogs = 18
Number of medium-sized dogs = 12
Number of large dogs = 10
To find: probability that a medium-sized dog will be chosen
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favourable outcomes/total number of outcomes
Total number of dogs = 18 + 12 + 10 = 40
Number of medium-sized dogs = 12
So,
probability that a medium-sized dog will be chosen = Number of medium-sized dogs/Total number of dogs = 
Let's begin by listing the first few multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 38, 40, 44. So, between 1 and 37 there are 9 such multiples: {4, 8, 12, 16, 20, 24, 28, 32, 36}. Note that 4 divided into 36 is 9.
Let's experiment by modifying the given problem a bit, for the purpose of discovering any pattern that may exist:
<span>How many multiples of 4 are there in {n; 37< n <101}? We could list and then count them: {40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100}; there are 16 such multiples in that particular interval. Try subtracting 40 from 100; we get 60. Dividing 60 by 4, we get 15, which is 1 less than 16. So it seems that if we subtract 40 from 1000 and divide the result by 4, and then add 1, we get the number of multiples of 4 between 37 and 1001:
1000
-40
-------
960
Dividing this by 4, we get 240. Adding 1, we get 241.
Finally, subtract 9 from 241: We get 232.
There are 232 multiples of 4 between 37 and 1001.
Can you think of a more straightforward method of determining this number? </span>
Answer:
The rule of the translation is (x,y) -----> (x+3,y-3)
The translation is 3 units at right and 3 units down
Step-by-step explanation:
we have that
The translation of point B to point B' is
B(-6,1) -----> B'(-3,-2)
so
(x,y) -----> (x+a,y+b)
B(-6,1) ----> (-6+a,1+b)
Find the value of a
solve for a
Find the value of b
solve for b
therefore
The rule of the translation is
(x,y) -----> (x+3,y-3)
That means ----> The translation is 3 units at right and 3 units down
