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Yanka [14]
3 years ago
10

The area of a rectangular rug is (3x +9) square units. Factor (3x +39) to find possible dimensions of the rug.

Mathematics
1 answer:
Sliva [168]3 years ago
3 0
Is x+13 the answer to your problem?
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The endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
In-s [12.5K]
The longest chord on the circle is the diameter, and the center of the circle is the midpoint of the diameter.

Use the midpoint formula to find the center
((x1 +x2)/2 , (y1+y2)/2).. Just substitute them for the solution


the x-coordinates are the same, so you can just subtract the y-coordinates to find the radius. 
10.5 - 8 = 2.5

The equation of the circle is (x - h)² + (y - k)² = r² where r is the radius and (h, k) is the center.

(x - 4)² + (y - 8)² = 6.25
5 0
3 years ago
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What four factors were used to create this product game board 9,15,18,21,30,35,36,42,49
IgorLugansk [536]
To see what are the factors use, we write each of the numbers, as product of prime factors:

9= 3 \cdot 3\\\\
15=3 \cdot 5\\\\
18= 2 \cdot 9 = 2 \cdot 3 \cdot3\\\\21= 3\cdot 7\\\\30=3 \cdot10=3 \cdot 2 \cdot 5\\\\35=5 \cdot7\\\\36=6\cdot6=2\cdot3\cdot2\cdot3\\\\42=6\cdot7=2\cdot3\cdot7\\\\49=7\cdot7


As we can see, the 4 factors used to produce the numbers in the list are {2, 3, 5, 7}


Answer:  {2, 3, 5, 7}
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4 years ago
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Make y the subject: <br><br> 5x + 2y = 11
Anton [14]
Does that mean solve for y? If so, here it is:
5x + 2y = 11.

Move the x term by subtracting.
2y = -5x + 11

Divide by 2.
y = -5/2x + 11/2
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The answer is 16, you substitute the value of the variable into the equation and simplify
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There are 16 cups in the gallon
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