5 3/4 quarts = how many cups
1 answer:
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Answer:
Step-by-step explanation:
Given
Required
Express the rate as per hour
There are 168 hours in a week;
So, the rate becomes
Hence;
The equivalent of the given rate is
Answer:
- D = -2
- Dx = -4
- Dy = -2
Step-by-step explanation:
<u>System Determinant</u>
The determinant of the system is the determinant of the matrix of coefficients:
<u>X Determinant</u>
This is the determinant of the matrix with the x-coefficients replaced by the constants.
<u>Y Determinant</u>
This is the determinant of the matrix with the y-coefficients replaced by the constants.
_____
This problem didn't ask, but the solution is ...
x = Dx/D = -4/-2 = 2
y = Dy/D = -2/-2 = 1
(x, y) = (2, 1)
Complete the square for x and y.
(x² +42x +21²) + (y² +38y +19²) = 47 + 21² + 19²
The equation of this circle in standard form is
(x +21)² + (y +19)² = 849
The center of the circle is at the point
(-21, -19)
Its radius is
√849
The general form of a circle centered at the origin with the same radius is
x² + y² - 849 = 0
(x² +42x +21²) + (y² +38y +19²) = 47 + 21² + 19²
The equation of this circle in standard form is
(x +21)² + (y +19)² = 849
The center of the circle is at the point
(-21, -19)
Its radius is
√849
The general form of a circle centered at the origin with the same radius is
x² + y² - 849 = 0