What is m equal to if 7m+12/8=2m-1/3
1 answer:
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Answer:
y = 4
Step-by-step explanation:
Given the equation of the line, y = 6, passing through point (3, 4):
By definition, parallel lines have the <u>same slope</u>.
The linear equation, y = 6 is a horizontal line with a zero slope. Therefore, the parallel line must also have the same slope = 0.
Plug the given values from the point (3, 4) into the slope-intercept form:
y = mx + b
where: y = 4, m = 0, and x = 3. We need to solve for the y-intercept, b:
y = mx + b
4 = 0(3) + b
4 = 0 + b
4 = b
Therefore, the y-intercept is (0, 4).
For horizontal lines, the y-coordinate = 4 stays the same, while having different x-coordinates.
Therefore, the equation that is parallel to y = 6 is y = 4.
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Answer:
Ix = Iy =
Radius of gyration x = y =
Step-by-step explanation:
Given: A lamina with constant density ρ(x, y) = ρ occupies the given region x2 + y2 ≤ a2 in the first quadrant.
Mass of disk = ρπR2
Moment of inertia about its perpendicular axis is . Moment of inertia of quarter disk about its perpendicular is
.
Now using perpendicular axis theorem, Ix = Iy = =
.
For Radius of gyration K, equate MK2 = MR2/16, K= R/4.