Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
Huh? I honestly am lost in this world it’s draining my mental health....what if I just end it? Will anyone care? Probably not....... I’m not allowed to feel this way bc my parents say it’s the devil trying to take me away from god but honestly I don’t believe that..
Answer:
12x6=42 sorry if im wrong
Step-by-step explanation:
Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.
Answer:
Step-by The scale factor is the ratio that determines the proportional relationship between the sides of similar figures. For the pairs of sides to be proportional to each other, they must have the same scale factor. In other words, similar figures have congruent angles and sides with the same scale factor.-step explanation:
