Given that,
y varies directly with x and y = 10 when x = 20.
To find,
The value of y when x = 15.
Solution,
Put x = 20 and y = 10
Put k = 1/2 and x = 15 to find the value of y.
So, the value of y is 7.5
Perimeter is adding the 3 sides together. Since both triangles have the same perimeter set both triangles to equal:
(x+3 + x+3 + x+3) = (x+3 + 2x-3 + x)
Simplify each side:
3x+9 = 4x
Subtract 3x from each side:
x=9
Answer:
The line would be y = -1/4x + 27/4
Step-by-step explanation:
In order to find this, we first need to note that the original slope is -1/4. And since parallel lines have the same slope, we know our new line will have that same slope. Now, we can use that slope and the point in point-slope form and solve for y.
y - y1 = m(x - x1)
y - 6 = -1/4(x - 3)
y - 6 = -1/4x + 3/4
y = -1/4x + 27/4
The volume for any cylinder, right or oblique, would be base x height. Even though an oblique cylinder looks quite different from a right cylinder, their volumes would be equal (given that their radius and height are equal). Think about it, the area of a parallelogram would equal the area of the rectangle if their heights and bases were the same, so that would apply for this also.
V= Bh
The base would stand for that top and bottom of the cylinder, or the circles. The volume for circle is pi x radius squared.
V =
h
V =
256 x 16
V =
4096