In order to answer this question, I'll have to get that equation
in standard form ===> y = mx + b .
14x + 4y = 24
Subtract 14x from each side: 4y = -14x + 24
Divide each side by 4 : y = -3.5x + 6
There's the standard form we need ==> y = -3.5x + 6
That -3.5 is our slope.
That 6 is our y-intercept.
The rule for a 270° counterclockwise rotation is (x, y) ---> (y, -x).
So if you rotated (-5,5) 270° counterclockwise around the origin the new coordinates would be (-5,-5).
Hope this Helps!!
Answer:
The explicit form f(n) is 
Step-by-step explanation:
A sequence is arithmetic if the difference between each consecutive terms is a constant.
The explicit formula of an arithmetic sequence is:
Where d is the common difference, a1 is the first term of the sequence and an is the nth term.
In order to obtain the common difference, you have to subtract two consecutive terms:
For the first and second terms:
2a+1 - a = a+1
For the second and third terms:
3a+2 - (2a+1)=
Applying the distributive property:
3a+2-2a-1= a+1
Notice that the difference of any two consecutive terms is the same. Therefore:
d=a+1
Also, a1=a (The first term)
Replacing in the explicit formula:
40÷5= 8 You have to see how many time 5 can go into 40
1. see how many times 5 goes into 4 none so the first number is 0
2. then you see how many time 5 can go into 0 o times
3. so you have to see how many time you can count 5 into 40
(count by 5's) 5,10,15,20,25,30,35,40 that should be 8 times total!
5000
First, let's determine how many standard deviations from the mean the value
(163+1) = 164 is:
(164 - 125)/15 = 39/15 = 2.6
Now using a standard normal table, look up 2.6 to determine the percentage of points that would be that far from the mean. I find a value of 0.49534. Note that is is a half value. So the percentage that will be higher than that will be 0.5 - 0.49534= 0.00466
Now multiply by the number of points overall, getting
0.00466 * 1000000 = 4660
So there will be approximately 5000 pixels brighter than 163 gray levels.
