That will be the points corresponding to cos 60 in 3rd quadrant
which is (-1,-2)
Answer:
Kayla bought 7 tacos and 10 hotdogs
Step-by-step explanation:
Let the number of hotdogs be x.
Let the number of tacos be y.
i) It is given that x = y + 3
ii) It is also given that 3.5x + 4y = 63, therefore 7x + 8y = 126
iii) substituting the value of x from i) in ii) we get 7(y + 3) + 8y = 126
therefore 15y + 21 = 126
therefore 15y = 105
therefore y = 7
Therfore Kayla bought 7 tacos
iv) Using the value of y from iii) in i) we x = 7 + 3 = 10
Therefore Kayla bought 10 hotdogs
1. m
2. One set of ordered pairs
3. b
To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).
First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.
This is why #1 is m. M is the letter used when finding slope.
To find m, I plug in the two sets of ordered pairs.
m = (8-0)/(5-1)
m = 8/4
m = 2
An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.
Here, you have just solved for m and know it equals 2. Plug that value in for m.
y = 2x + b
To solve for b, plug one ordered pair in for x and y. I will use (1,0)
0 = 2(1) + b
0 = 2 + b
-2 = b
Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
Answer:
1/32768
Step-by-step explanation:
We have 5 digit pin code plots and 8 choices per slot. Because repetition is allowed (1 digit can have 8 choices) so we multiply out the number of choices per slot
. Hence:
8*8*8*8*8 = 
So there are 32768 different combination.
But correct guess on the first try is just only 1 time, so its' probability:
1/32768
