Answer:
(x - 16)² + (y - 4)² = 8
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
Here (h, k) = (16, 4) and r = 2
, thus
(x - 16)² + (y - 4)² = (2 )², that is
(x - 16)² + (y - 4)² = 8
Answer:
Y
Step-by-step explanation:
The 58-degree angle and angle y are alternate interior angles, meaning they are both on the inside of the parallel lines but on opposite sides of the transversal. Since they are alternate interiors, they are the same.
Answer:
sorry I don't know
Step-by-step explanation:
Answer:
-1, 0 and 1
Step-by-step explanation:
Let's work through this step by step.
x goes from -2 to 2 so we will check each integer in between.
f(-2) and g(-2) is the first one. The table shows f(-2)=-8 and g(-2)=-2, so f(-2) does not equal g(-2)
Now we just keep doing this for x=-1,0,1, and 2
f(-1) = -1 and g(-1) = -1 so f(-1)=g(-1)
f(0)=0 and g(0)=0 so f(0)=g(0)
f(1)=1 and g(1)=1 so f(1)=g(1)
f(2)=8 and g(2)=2 so f(2) does not equal g(2)
So there were three xs that made f(x) = g(x). -1, 0 and 1, so those are your answers.
Using translation concepts, the equation for function g is given by:
g(x) = 7x/3 + 1.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Supposing that we have a function f(x), a horizontal compression by a factor of a is equivalent to finding f(ax).
In this problem, the function is:
f(x) = 7x + 1.
For the horizontal compression by a factor of 1/3, we have that:
g(x) = f(1/3x) = 7x/3 + 1.
More can be learned about translation concepts at brainly.com/question/4521517
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