So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.
Slope of perpendicular lines is the opposite sign and the reciprocal of the other.
So if your slope was 2 the perpendicular line would have a slope of -1/2.
So the equation, 2x + y = 3
Can be rewritten as
y= -2x+3
Perpendicular slope: 1/2
Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.
y=mx+b
4=1/2(5)+b
Solve for b (y intercept)
4-2.5=b
1.5=b
So the equation of the perpendicular is
y=1/2x+3/2 or y=.5x+1.5
Answer: (-5,1)
Step-by-step explanation:
x=-2y-3
4y-x=9
4y-(-2y-3)=9
4y+2y+3=9
6y+3=9
6y=6
y=1
x=-2y-3
x=-2-3
x=-5
Product is multiplying. when you multiply a letter with a number you don't put any symbols so it would be 8c
Answer:
D. 2.69 lb is your answer
13vases=34.97lb
1 vase=34.97/13=2.69lb
The volume of cylinder is 1205.76 cubic inches
<em><u>Solution:</u></em>
We have to find the volume of cylinder
<em><u>The volume of cylinder is given by formula:</u></em>

Where "r" is the radius and "h" is the height of cylinder
<em><u>Given dimensions are:</u></em>
Radius = 8 inches
Height = 0.5 feet
<em><u>Convert feet to inches</u></em>
1 feet = 12 inches
Therefore,
0.5 feet = 12 x 0.5 = 6 inches
Thus, we have got,
height = 6 inches
<em><u>Substitute r = 8 inches and h = 6 inches in formula:</u></em>

Thus volume of cylinder is 1205.76 cubic inches