A = (-7,-6)
B = (8,-9)
Find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (-9-(-6))/(8-(-7))
m = (-9+6)/(8+7)
m = -3/15
m = -1/5
The slope of line AB is -1/5.
Flip the fraction and the sign to go from -1/5 to +5/1 = 5. The perpendicular slope is 5.
Let m = 5.
Use the coordinates of point C (2,12) along with the perpendicular slope to get
y - y1 = m(x - x1)
y - 12 = 5(x - 2)
y - 12 = 5x - 10
y = 5x - 10+12
y = 5x + 2
Lastly, convert this to standard form
y = 5x + 2
5x+2 = y
5x+2-y = 0
5x-y = -2
Choice A is the closest match, but the -56 should be -2 instead. It seems like your teacher made a typo somewhere.
Using the relation between velocity, distance and time, it is found that the commute took 48 minutes.
<h3>What is the relation between velocity, distance and time?</h3>
Velocity is distance divided by time, that is:

For Lena, we have that d = 29, v = 36, hence the time in hours is given by:

In minutes, the time is given by:
tM = 0.8056 x 60 = 48.
More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569
#SPJ1
Answer:
Explained below.
Step-by-step explanation:
Consider the variables height and weight.
It is usually seen that taller people are heavier than shorter people.
So a regression analysis can be used to specify this belief.
The statistical questions that are being asked here are:
- What the independent and dependent variables?
- Are there any other factor influencing the dependent variable other than the independent variable?
The variable <em>Y</em> is considered as the dependent variable and the variable <em>Y</em> is considered as the independent variable. And the main purpose of the regression analysis is to predict the value of <em>Y</em> when the value of <em>X</em> is given.
The linear regression model can be used to predict the past and future value of the dependent variables provided that the independent variables for those times are provided.
9514 1404 393
Answer:
G
Step-by-step explanation:
The one point with a y-value of 0 is the one on the x-axis: G.