Answer:
5 units
Step-by-step explanation:
3x + 4y = 8
4y = -3x+8
y = -3/4+2
The shortest distance between a point and a line is the perpendicular line.
Slope of the perpendicular line: 4/3 and point (-3,-2)
b = -2-(4/3)(-3) = 2
Equation of the perpendicular line: y=4/3x+2
y is equal y
4/3x+2= -3/4x+2
4/3x +3/4x = 2-2
x = 0
Plug x=0 into one of the equations to find y
y = 4/3(0) + 2
y = 2
(0,2) and (-3,-2)
Distance = sqrt [(-3-0)^2 + (-2-2)^2]
Sqrt (-3)^2+ (-4)^2
Sqrt 25 = 5
Answer:
1360 cm2
Step-by-step explanation:
It is still a rectangle, just slanted. So straiten it out a solve it like a normal area problem:
34 x 40 = 1360 cm2
Answer:
Equation of the line:
.
Step-by-step explanation:
Let
and
denote the coordinates of these two points, respectively.
Calculate the slope
of this line:
.
Notice that the slope is zero because the two points have the same
-coordinates (
) even though their
-coordinates are distinct (
.)
Equation for this line in point-slope form:
.
.
Rewrite and simplify to obtain the equation of this line in slope-intercept form:
.
The
-term was eliminated because the slope was zero.
Answer:
The percent error in his estimate is<u> 16.67%</u>.
Step-by-step explanation:
Given:
Christopher estimates it will take him half an hour to complete his math homework.
He is able to complete it in 25 minutes.
Now, to find the percent error in his estimate.
Time estimates of completing homework = 30 minutes.
Time actual taken to complete homework = 25 minutes.
Error in estimate = Time estimates of completing homework - Time actual taken to complete homework.
Error in estimate = 30 minutes - 25 minutes.
Error in estimate = 5 minutes.
Now, to get the percent error:




Therefore, the percent error in his estimate is 16.67%.