Step-by-step explanation:
What this is saying is...20 is a whole number; but 3/4 is not. What they are saying is, if you have to add a mixed number with a whole number, you can add both of the whole numbers together. Then, you add the 3/4 at the end...because it is not a whole number. You can break apart a mixed number by separating the whole number and the fraction.
Hope this helps :)
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Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.
(9m - 6)7
Distribute 7 to both sides
63m - 42
Add 42 to get 63m by itself
63m = 42
Divide both sides by 63
m = 42/63 or simplified, 2/3
Perimeter of a square: side length * 4, since squares have equal side lengths
Take 2x - 3 for the side length and plug it into the formula.
(2x - 3) * 4 can be rewritten as 4(2x - 3)
Distribute 4 inside the parentheses.
8x - 12 = perimeter of the square