I am going to show you the procedure with any slope (given that you did not write the value of the slope)
general slope value: m
generic point (x1,y1)
Formula: y - y1 = m (x -x1)
y - y1 = mx - mx1
y - mx - y1 + mx1 = 0
x1 = -2 , y1 = -3 =>
y - mx - (-3) + m(- 2) = 0
y - mx + (3 -2m) = 0
Now suppose a value for m. Lets say it is m = 5.
y - 5x + (3 - 2*5) = 0
y - 5x + (3 - 10) = 0
y - 5x + (-7) = 0 and that is the standard form if the slope is 5. Now you can do the same with any slope.
When multiplying powers with the same base but different exponents, just add the exponents together. Note: this can only work if the base is the same. Note2: you can do the same with dividing powers by subtracting the exponents instead of adding.
Ex: 1. 2^7*2^2 (2 is the base, 7&2 are the exponents.
2^7*2^2 = 2^9 (add 7&2)
2^9 = 512
Answer:
Step-by-step explanation:
Given
Represent point A as thus;
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
Then, y is negated to give A'
Answer : 169
Step-by-step explanation:
4(x+19) = 752
4x +76 = 752
4x = 752 - 76
x = 676/4
x=169
Hope this helps ;)
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Answer:
Step-by-step explanation:
Are you in Calculus? These are calculus concepts!
To calculate the rate of change here you must specify an interval, e. g., "what is the rate of change on the interval (0, 3)?"
If you know calculus: The 'rate of change' on the interval (a, b) is
f(b) - f(a)
r. of c. = --------------------
b - a
Have you used this formula before?
Because of the 'x^2' term this is NOT a linear function.
If you want more explanation, provide an interval on which you want the average rate of change and ask specific questions of your own.