Your equation is a circle where the center is the origin (0, 0) and the radius is 5. With the translation, the new center is (- 7, - 2). Radius stays the same.
Your new equation is:
(x + 7)² + (y + 2)² = 25
Answer:
x = -2
Step-by-step explanation:
1/3(x - 10) = - 4
1/3x - 10/3 = - 4
1/3x = -4 + 10/3
1/3x = -2/3
x = -2/3 · 3
x = -2
Answer:
y =
x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (0, - 1) ← coordinates of intercepts
m =
=
= 
The y- intercept is - 1 ⇒ c = - 1
y =
x - 1
The diameter of the circle is 11.8 units
<h3>How to determine the diameter of the circle?</h3>
The circle equation is given as:
(x - 2)^2 + (y + 6)^2 = 35
A circle equation is represented as:
(x - a)^2 + (y - b)^2 = r^2
Where
Diameter = 2r
By comparing both equations, we have
r^2 = 35
Take the square root of both sides
r = 5.9
Multiply by 2
2r = 11.8
Hence, the diameter of the circle is 11.8 units
Read more about circle equation at:
brainly.com/question/10618691
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Answer:
B. 181.5√3 cm^2
Step-by-step explanation:
The area of a regular hexagon with side length s is given by ...
A = (3√3/2)s²
For side length s = 11 cm, the area is ...
A = (3√3/2)(11 cm)² = 363√3/2 cm²
A = 181.5√3 cm²