We want to recast the equation into the standard form equation for a circle centered at (h, k) with radius r. That equation is
... (x -h)² + (y -k)² = r²
Start by completing the square for both x-terms and y-terms.
... x² - 4x + y² + 4y = k
To do that, add the squares of half the coefficients of the x- and y-terms.
... x² - 4x + (-2)² + y² + 4y + 2² = k + (-2)² + 2²
... (x -2)² + (y +2)² = k + 8 = r² . . . . . this is now equal to the square of the radius, so we have
... k + 8 = 6² = 36
Subtracting 8 gives
... k = 28 . . . . . . . matches selection D)
Answer:
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Let, number of small, medium and large popcorn sold are s, m and l respectively.
So, s + m + l = 250 ....1)
Also, l = 2s ....2)
Total sum = $1726 = 2s + 5m + 10l .....3)
Putting value of l from 2) to 1) is :
s + m + 2s = 250
m + 3s = 250
m = 250 - 3s ....4)
Putting value of m and l in terms of s in equation 3)
We get :
2s + 5( 250 - 3s ) + 20s = 1726
7s = 1726 - 1250
s = 68
l = 136
m = 250 -3(68) = 46
Now,
Hence, this is the required solution.
The perimeter is just all the lines around the outside of the shape so basically take all the numbers and add them together to get the answer
Answer:B
Step-by-step explanation:
4E and LA are right angles; therefore, these angles are congruent since all right
angles are congruent. Is - 15 over 5 and 12 over 4shows the corresponding sides are proportional;
therefore, ABC ~ AEDC by the SSS Similarity Postulate.
