Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]
For a line to be perpendicular to another line, the slope has to be the negative reciprocal of the original line's slope.
For example:
Slope(m) = 
Perpendicular line's slope: 
or -2 [positive to negative]
m = 
or -3
Perpendicular line's slope: 
[negative to positive]
y = -x + 3
m = -1 So the perpendicular line's slope is 1, now plug it into the equation
y = mx + b
y = x + b To find b, plug in the point (3, 1) into the equation
1 = 3 + b Subtract 3 on both sides to get b by itself
1 - 3 = 3 - 3 + b
-2 = b The y-intercept is -2
Plug in -3n as n into the functon K(n)=4n+5
so you get
K(-3n)=4(-3n)+5
K(-3n)=-12n+5
Answer:
D. rectangle with a width of 7 cm and a length of 8 cm
Step-by-step explanation:
If you multiply 7 and 8 you get 56, which is the least area in all of these figures.
Answer:
first blank : 6
second blank : 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Matrix addition. If A and B are matrices of the same size, then they can be added. (This is similar to the restriction on adding vectors, namely, only vectors from the same space R n can be added; you cannot add a 2‐vector to a 3‐vector, for example.) If A = [aij] and B = [bij] are both m x n matrices, then their sum, C = A + B, is also an m x n matrix, and its entries are given by the formula
Thus, to find the entries of A + B, simply add the corresponding entries of A and B.
Example 1: Consider the following matrices:
Which two can be added? What is their sum?
Since only matrices of the same size can be added, only the sum F + H is defined (G cannot be added to either F or H). The sum of F and H is
Since addition of real numbers is commutative, it follows that addition of matrices (when it is defined) is also commutative; that is, for any matrices A and B of the same size, A + B will always equal B + A.
