The equation in slope-intercept form for the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5 is
<em><u>Solution:</u></em>
<em><u>The slope intercept form is given as:</u></em>
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Given that the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5
Given line is perpendicular to − 4 x − 3 y = − 5
− 4 x − 3 y = − 5
-3y = 4x - 5
3y = -4x + 5
On comparing the above equation with eqn 1, we get,
We know that product of slope of a line and slope of line perpendicular to it is -1
Given point is (-1, -2)
Now we have to find the equation of line passing through (-1, -2) with slope
Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1
Thus the required equation of line is found
Answer is
<span>A. 3 pages are edited every 5 min</span>
Answer:
9 feet down
Step-by-step explanation:
2+7=9
Answer:
x = 2
y = -3
Step-by-step explanation:
y = x - 5 -------------------(I)
x + y = -1 ----------------(II)
Substitute y = x -5 in equation (II)
x + (x - 5) = -1
x + x - 5 = -1 {Combine like terms}
2x - 5 = -1 {Add 5 to both sides}
2x = -1 + 5
2x = 4 {Divide both sides by 2}
x = 4/2
x = 2
Substitute x = 2 in equation (I)
y = 2 - 5
y = -3
Answer: The volume of the pipe is 412 cubic feet
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder = π x radius² x height (Length in this case)
Replacing with the values given:
V = 3.14 (2.5)² 21 = 3.4 (6.25) 21 = 412.12 = 412 cubic feet (rounded)
In conclusion, the volume of the pipe is 412 cubic feet
Feel free to ask for more if needed or if you did not understand something.