Answer:
The slope is 3/2.
Step-by-step explanation:
The slope of a line is the relationship between the change of the y-variable and the change of the x-variable. It can be denoted as m = (y2-y1)/(x2-x1), and in layman's terms, it is known as rise over run.
You always can obtain the slope of a line with two points. From this line, for example, I can tell that points (0, 20) and (20, 50) are on the line.
To find the slope of the line, we must first find out what x1, x2, y1, and y2 are. x1 and y1 are the x- and y- coordinates of the first point, and x2 and y2 are the x- and y-coordinates of the second point. With this, we now know that x1 = 0, y1 = 20, x2 = 20, and y2 = 50. We now subsitute this into the formula.
m = (y2-y1)/(x2-x1)
m = (50 - 20)/(20 - 0)
m = (30)/(20)
m = 3/2
Now we know that the slope of the line is 3/2.
Answer:
1) Radius of the cone = 9.5 cm
2) BA = 90.25 π cm²
3) SA = 384.7 π cm²
Step-by-step explanation:
1) Radius of the cone = 9.5 cm
2) Base Area of the cone =
BA = (π)(9.5)²
BA = 90.25 π cm²
3) Surface Area of Cone =
SA = π(9.5)(9.5 + √(29.5)²+(9.5)²)
SA = 9.5π(9.5 + 31)
SA = 9.5π(40.5)
SA = 384.7 π cm²
Edge 2022
Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello,
(1) 2x + 4y + z = 3
(2) x - 2y - 3z = 4
(3) x + y - z = -1
From (3) we can write z = x + y + 1 and we replace in (1)
2x + 4y + x + y + 1 = 3 <=> 3x + 5y = 3-1 =2
(1') 3x + 5y = 2
and we replace in (2)
x - 2y -3(x+y+1) = 4 <=> -2x -5y -3 = 4 <=> -2x -5y = 4 + 3 = 7
(2') -2x - 5y = 7
(1') + (2') gives
3x - 2x + 5y - 5y = 2 + 7 = 9
x = 9
we replace in (1')
3*9 + 5y = 2 <=> 27 + 5y = 2 <=> 5y = 2-27 = -25 <=> y = -25/5 = -5
y = -5
and then in (3)
9 - 5 - z = -1 <=> 4 - z = -1 <=> z = 4 + 1 = 5
z = 5
hope this helps
the answer is 23.2558139535
