Answer:
The line equation in slope-intercept form is:
Hence, option D is true.
Step-by-step explanation:
Given the points
Finding the slope between the points
As the y-intercept is obtained by setting the value x = 0.
As we know that when x = 0, the vale of y-intercept y = 4
so the y-intercept is b = 4.
As the slope-intercept form is
substituting the slope m = -2/5 and the y-intercept b=4
Therefore, the line equation in slope-intercept form is:
Hence, option D is true.
For this case we have that by definition, a direct variation is given by:
Where:
k: It is the constant of proportionality of the variables.
On the other hand, we have that the inverse variation is given by:
Where:
k: It is the constant of proportionality of the variables.
In this way, the correct option is:
ANswer:
Option A
The measure of angle ABC is 45°
<em><u>Explanation</u></em>
Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)
According to the diagram below....
Length of the side BC (a)
Length of the side AC (b)
Length of the side AB (c)
We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...
So, the measure of angle ABC is 45°
