The formula<span> for the </span>equation<span> of a </span>circle<span> is (x – h)</span>2+ (y<span> – k)</span>2<span> = r</span>2<span>, where (h, k) represents the coordinates of the </span>center<span> of the </span>circle<span>, and r represents the radius of the </span>circle<span>. If a </span>circle<span> is </span>tangent<span> to the x-</span>axis<span> at (</span>3,0), this means it touches the x-axis at that point. hope this helps
- Ava<3
Answer:
157 cm²
Step-by-step explanation:
volume = (1/3) * π * r² * h
volume = (1/3) * π * 5² * 6
volume = (1/3) * π * 25 * 6
volume = (1/3) * π * 150
volume = (1/3) * 471
volume = 157 cm²
1/4x+4/4x = -6/2x+1/2x
5/4x = -5/2x
x=0
Refer the attached figure for the graphic representation of the given quadratic equation.
<u>Step-by-step explanation:</u>
Given expression:
To find:
The graphic representation of the given quadratic function
For solution, plot the graph to the given quadratic equation.
The standard form of the equation is
When comparing with given quadratic equation,
a = 1, b = - 8, c = 24
Axis of symmetry is 
By applying the values, the axis of symmetry of given equation is
The vertex form of quadratic equation is 
Where, (h,k) are the vertex.
Convert the quadratic equation into vertex form.
By completing the square,
On comparison,
(h , k) = (4 , 8)
Now, plot the equation with vertex (4,8) [refer attached figure].
Answer:
The solution is x = 1/log(6)
Step-by-step explanation:
Hi there!
First, let´s write the equation:
6ˣ + 2 = 12
subtract 2 at both sides of the equation
6ˣ = 10
apply log at both sides of the equation
log(6ˣ) = log(10) log(10) = 1
Apply logarithm property: log(xᵃ) = a log(x)
x log(6) = 1
Divide both sides by log(6)
x = 1/log(6)
The solution is x = 1/log(6)
Have a nice day!
