Answer:
6
Step-by-step explanation:
1/2 * 1/2 * 2 * 12 =
1/2 * 12 (because the 1/2 and 2 cancel out, as they form 1) =
6
Answer
Length = 10 ft
Width = 5 ft
Explanation
Area of the rectangle given = 50 ft²
Let the width of the rectangle be x
So this means the length of the rectangle will be 3x - 5
What to find:
The dimensions of the rectangle.
Step-by-step solution:
Area of a rectangle = length x width
i.e A = L x W
Put A = 50, L = 3x - 5, W = x into the formula.
The quadratic equation can now be solve using factorization method:
Since the dimension can not be negative, hence the value of x will be = 5.
Therefore, the dimensions of the rectangle will be:
Answer:
B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
To obtain this form use the method of completing the square
Given
x² - 8x + y² - 2y - 8 = 0 ( add 8 to both sides )
x² - 8x + y² - 2y = 8
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 8 + 16 + 1
(x - 4)² + (y - 1)² = 25 → B
Use the law of sines; see the attached picture.
Answer:
-x² - 9 is your simplified form
Step-by-step explanation:
Combine terms with the same amount of variables.
(2x² - 5) - (3x² + 4)
First, distribute the negative sign to all terms within the second parenthesis
(2x² - 5) - 3x² - 4
Combine like terms
2x² - 3x² = -x²
-5 - 4 = -9
-x² - 9 is your simplified form
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