Answer:
19/24 pounds
Step-by-step explanation:
To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).
Answer:
A. x² +y² -6x -16y +48 = 0
Step-by-step explanation:
The standard-form equation for a circle centered at (h, k) with radius r is ...
(x -h)² +(y -k)² = r²
For your circle, this is ...
(x -3)² +(y -8)² = 5²
To put this in general form, you subtract the constant on the right, and eliminate parentheses:
x² -6x +9 +y² -16x +64 -25 = 0
x² +y² -6x -16y +48 = 0 . . . . . rearrange to descending powers of x, y
Answer:
(2, - 5)
Explanation:
The line y = -1 is horizontal: parallel to the y-axis.
The point B (2,3) is above the line y = - 1 at a distance equal to the y-coordinate of B (y = 3) less - 1:
Δy = 3 - ( - 1) = 4
When the point B (2,3) is reflected over the line y = -1, the x-coordinate does not change. The image will be 4 units down the line y = -1, thus the y-coordinate will be - 1 - 4 = - 5.
Hence, the coordinates of the vertex B' are x = 2, y = - 5: (2, - 5).
5.04 x 106
Answer:
53424
Step-by-step explanation:
that is the answer
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