Answer: x= 12
Hope that helps :)
The equation of a circle whose centre () and radius is
What is equation of a circle?
A circle is a closed curve drawn from a fixed point called centre of the circle. The distance between the centre of the circle and the arc of the circle is called the radius of the circle.
The equation of a circle with centre radius is
Given center = and Radius =
Put the Given value in the equation:
=
=
=
=
=
=
So, the equation of the circle whose centre is and Radius is
To read more about the equation of a circle. you can follow:
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Answer:
(2, –16), (4, –32), (8, –64)
Step-by-step explanation:
y = –8x for x = 2, 4, and 8
x = 2; y = –8(2) = - 16
x = 4; y = –8(4) = - 32
x = 8; y = –8(8) = - 64
Answer
(2, –16), (4, –32), (8, –64)
Answer:
Part 5) The roots are x=-3 and x=1.5
Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)
Step-by-step explanation:
Part 5) Find the roots of the parabola given by the following equation
we know that
The formula to solve a quadratic equation of the form is equal to
in this problem we have
so
substitute in the formula
therefore
The roots are x=-3 and x=1.5
Part 6) Solve the inequality and graph the solution on a number line.
Solve for y
Subtract 12 both sides
Multiply by -1 both sides
Divide by 15 both sides
The solution is the interval -----> (-∞, -1/3]
All real numbers less than or equal to negative one third
The solution on a number line is the shading area below of the line y=-1/3 (close circle)
The graph in the attached figure
Answer:
The scale factor is 4
Step-by-step explanation:
This question requires an attachment; I'll answer this question using the attached figure
From the attachment
<em>Length OA = 3 units</em>
<em>Length OA' = 3 units + 9 units</em>
<em>Length OA' = 12 units </em>
<em></em>
Scale Factor is calculated as follows;
Given that the original shape is ABC, the original side will be OA
Hence, Original Side = 3 units
New Side = OA' = 12 units
The formula becomes
<em>Hence, the scale factor is 4</em>