Answer:
Volume of a circle = approximatley 25.12
Step-by-step explanation:
1. Volume of a circle= 4/3*pi*radius
2. Radius equals 1/2 of diameter
3. 12/2=6
4. radius=6
5. 4/3*3.14*6=25.12
6. Volume of a circle = approximatley 25.12
The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)
Step-by-step explanation:
The point-slope form of a linear equation is:
, where
- m is the slope of the line
is a point on the line
Any point on the line is a solution for the equation of the line
The solution of an equation is the values of x and y which make the left hand side is equal to the right hand side
∵ The equation is y - 4 = 7(x - 6)
- Compare the equation by the point-slope form above
∴ m = 7
∴
= 6 and
= 4
- That means point (6 , 6) lies on the line
∴ Point (6 , 4) is a point on the line which represents the
given equation
∵ Any point on a line is a solution of the equation of that line
∴ (6 , 4) is a solution of the equation
The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)
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Answer:
Below
Step-by-step explanation:
● x^2 + 11x + 121/4 = 125/4
Substract 125/4 from both sides:
● x^2 + 11x + 121/4-125/4= 125/4 -125/4
● x^2 + 11x - (-4/4) = 0
● x^2 +11x -(-1) = 0
● x^2 + 11 x + 1 = 0
This is a quadratic equation so we will use the determinanant (b^2-4ac)
● a = 1
● b = 11
● c = 1
● b^2-4ac = 11^2-4*1*1 = 117
So this equation has two solutions:
● x = (-b -/+ √(b^2-4ac) ) / 2a
● x = (-11 -/+ √(117) ) / 2
● x = (-11 -/+ 3√(13))/ 2
● x = -0.91 or x = -10.9
Round to the nearest unit
● x = -1 or x = -11
The solutions are { -1,-11}
A is the answer ....................................