Slope Formula:
m= Y2-Y1/X2-X1
m= 8-12 / 3-2
m= -4/ 1
m= -4
Therefore, the equation of the line is y=-4x+20
You can also approach it this way:
28 flowers times n = 3444
so n = 123
11 x 123 = roses, 17 x 123 = tulips.
Those 2 products should add up to 3444. They do. :-)
gotchaaaaaa
ahhh
thanxxx
1 bag=2cups. so, he uses 1 and 0.25 bags. there are 3.75 bags left. hope that helps)
Answer:
a = -4.
Step-by-step explanation:
If the are perpendicular then the slope of one graph will be - 1 / slope of the other.
Convert each equation to slope-intercept form:
x + 2y + 3 = 0
2y = = -x - 3
y = (-1/2)x - 3/2 (Slope/intercept form)
So the slope of the line perpendicular to this will be - 1 / (-1/2) = 2.
Consider the other line:
ax + 2y + 3 = 0
2y = -ax - 3
y = (-a/2) x - 3/2 (Slope/intercept form)
So the slope for this line - a/2 and it equals 2.
-a/2 = 2
-a = 2*2 = 4
a = -4 (answer).
Given:
The height of the cylinder = 12 in
The diameter of the base of the cylinder = 8 in.
To find:
The volume of the cylinder.
Solution:
The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,
So, the radius of the base of the cylinder is 4 in.
The height of the cylinder, h = 12 in.
Base area of the cylinder is:
Where, B is the base area and r is the radius.
So, the base area is 
square inches.
The volume of the cylinder is:
Where, r is radius, h is height, B is base area.
Putting and 
, we get
So, the volume is 
cubic inches.
Therefore, 
.
