Answer:
The possible coordinates of point A are 
and 
, respectively.
Step-by-step explanation:
From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:
(1)
Where:
- Length of the line segment AB.
- x-coordinates of points A and B.
- y-coordinates of points A and B.
If we know that 
, 
, 
and 
, then the possible coordinates of point A is:
There are two possible solutions:
1) 
2) 
The possible coordinates of point A are and , respectively.
P+2-4=14
p-2=14
add 2
p+2-2=14+2
p+0=16
p=16
Answer:
Step-by-step explanation:
-3(y²+4y+4)-5+6y
=-3y²-12 y-12-5+6 y
=-3y²-6y-17
To find the slope of the line we can use the following formula:
1 - (-3)/5 - 1
4 / 4
1
<h3>The slope of the line is equal to 1.</h3>
To find the equation, we can just use slope-intercept form.
We already know the slope, so our current equation is y = x
By knowing the slope, we can apply the slope to our lowest pair of coordinates to find the y value when x = 0.
Subtract 1 from the x and y values of (1, -3)
(0, -4) is our new point, and so we know the y-intercept is -4.
<h3>Our equation for the line is y = x - 4</h3>
Answer:
13 miles
Step-by-step explanation:
Write and solve an equation involving this information, using x as the distance traveled, in miles:
Cost(x) = $6.75 = $3.50 + ($0.25/mile)x
First, subtract $3.50 from both sides, obtaining: $3.25 = ($.25/mile)x.
Next, divide both sides by $0.25/mile:
$3.25
x = ------------------ = 13 miles
$0.25/mile
The length of the taxi ride was 13 miles.
