Answer:
Step-by-step explanation:
a. 1 & 2
b. 3 & 5
c. 2/15
d. 2/5 x 5/3
e. 10/15= 2/3
Step-by-step explanation:
-x + y = -5
Transform to slope-intercept form, y = mx + b:
-x + x + y = x - 5
y = x - 5 (Slope-intercept form where m = 1, b = -5).
Plot the y-intercept (0, -5) on the graph. Using the "rise over run" of the slope, <em>m</em> = 1, the next point will be: (1, -4).
I also plotted other points (please see the attached screenshot of the graph).
To find the area of a triangle, you have to multiply the height and the base length, and divide that by two.
In this question, the height is 3 square units and the base length is 4 square units.
Therefore, to find the area, you must multiply 3 by 4, which is 12, and then divide this by 2, which is 6.
So the area of this triangle is 6 square units.
Take the derivatives of each to get the tangent vectors:
Take the cross product of the tangent vectors to get a vector that is normal to both lines:
The two given lines intersect when :
that is, at the point (6, 4, 4).
The line perpendicular to both of the given lines through the origin is obtained by scaling the normal vector found earlier by ; translate this line by adding the vector to get the line we want,