Answer:
First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)
That is the first error of Alan.
Now, there is another error.
If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).
But we can not really divide by zero, so we should state that:
m can not be zero, if a line is horizontal, the perpendicular line must be vertical.
Answer:
y = (-3/2)x - 3
Step-by-step explanation:
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given two points, we can calculate the slope by dividing the change in y (or the difference in the y-coordinates) by the change in x (or the difference in the x-coordinates). Our two points are (-4, 3) and (2, -6):
m = (3 - (-6)) / (-4 - 2) = 9 / (-6) = -3/2
So, we can update our equation:
y = (-3/2)x + b
The y-intercept is where the graph crosses the y-axis, or the y-value where x = 0. Let's plug in 3 for y and -4 for x:
3 = (-3/2) * (-4) + b
3 = 6 + b
b = -3
So, our y-intercept is -3.
Our slope-intercept form is thus:
y = (-3/2)x - 3
<em>~ an aesthetics lover</em>
Answer: $2.75
Step-by-step explanation:
Zeke's helmet cost 3/5 x 28.75 = 17.25
Change = 20 - 17.25 = 2.75
An exterior angle of a triangle is an angle formed by one side of the triangle and the extension of an adjacent side of the triangle.
FACTS:
- Every triangle has 6 exterior angles, two at each vertex.
- Notice that the "outside" angles that are "vertical" to the angles inside the triangle are NOT called exterior angles of a triangle.
1. Angles 1, 5 and 6 are inteior angles of the given triangle.
2. Angle 3 is vertical to the interior angle 5.
3. Angles 2 and 4 are exterior angles of the triangle.
Answer: correct options are A and B.
Answer:
$R = $500 + $15(t)
Step-by-step explanation:
in this question, we are told to give a mathematical expression that would model the amount of money that is made by Hillel.
from the question, we were made to understand that the amount of money he makes is a front of his time t. that is noted.
and also, he has a base cost of $500.
now, let’s write an equation;
R = $500 + 15(t)
where t represents the length of the performance as suggested by women
