Answer:
C. 
Step-by-step explanation:
Given that A and B are matrices and 
is a scalar, then the distributive property of scalar multiplication over addition is given by;
The distributive property of scalar multiplication over subtraction is
The correct answer is C.
Answer:
Step-by-step explanation:
The functions are given f and g using coordinates.
Whenever we will ask for f(a), we look for "a" in the x coordinate of the function f and find the corresponding value. THAT IS THE ANSWER.
If we ask for g(b), we look for "b" in the x coordinate of the function g and find the corresponding value. THAT IS THE ANSWER.
So,
The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).
<h3>What is the Point-slope form?</h3>
The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
we know that
The equation of the line into point-slope form is equal to
y-y₁ = m(x-x₁)
we have
(x₁, y₁) = (4, 1/3)
m = 3/4
substitute the given values
y-y₁ = m(x-x₁)
y - 1/3 = 3/4 ( x - 4)
therefore,
y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
Thus, option A is correct.
Learn more about slope;
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Answer: 1/5
Step-by-step explanation:
If the equation is -(2/3) x - (1/4) y = 1/3, it is a straight line, so you can use some special points to identify the graph.
It is easier is you solve the equation for y:
(1/4)y = - 1/3 - (2/3) x
y = (-4/3) - (8/3)x
That is the slope -y-intercept form of the equation.
That means that the slope is -8/3, and the y-intercept is -4/3.
Use this points to identify the graph:
x = 0 => y = - 4/3 ---> (0, - 4/3)
y = 0 => x = - 1/2 -----> (-1/2, 0)
Now you can punt those two points on the graph and draw the line that joins them.
With this procedure you can find the graph of any straight line.
