Answer:
y = 1/2x + 4
Step-by-step explanation:
Use the formula for the equation of a line.
y = mx + b
Where m is the slope, and b is the y-intercept.
The slope is given.
y = 1/2x + b
The points (x, y) are given.
(4, 6)
Put y as 6 and x as 4, solve for b.
6 = 1/2(4) + b
6 = 2 + b
6 - 2 = b
4 = b
The y-intercept is 4 or (0, 4).
The equation of the line is y = 1/2x + 4.
The square (call it 
) has one vertex at the origin (0, 0, 0) and one edge on the y-axis, which tells us another vertex is (0, 3, 0). The normal vector to the plane is 
, which is enough information to figure out the equation of the plane containing :
We can parameterize this surface by
for 
and 
. Then the flux of 
, assumed to be
,
is
Angle NBW is 34 so do the math
Answer: 30 m3 (meters cubed)
Step-by-step explanation:
To get the volume of a rectangular prism, multiply the width times the length times the height.
1 x 5 x 6 = 30
Add the unit label
To find the perimeter of the square, you add all four sides together:
10x + 10x + (6x + 8) + (6x + 8)
20x + 12x + 16 = P
32x + 16 = P
you have to find x to get the actual perimeter. Since the shape is a square, all 4 sides are equal, so you can set 10x and (6x + 8) as equal to each other.
10x = 6x + 8
4x = 8
x = 2
Now you just plug in x and finish the rest of the problem, and you have the answer:
32(2) + 16 = P
64 + 16 = P
P = 80
(if you find this helpful, marking this as the brainliest answer would make my day :)
