Answer:
r = 1
Step-by-step explanation:
In this question, we have to solve for the vallue of "r". We will use the distributive property shown below to ease our process.
Distributive Property:
a(b+c) = ab + ac
Now, lets solve this:

As we have seen the value of r is "1"
Answer:
<h3>The answer is option B</h3>
Step-by-step explanation:
Equation of a circle is given by
( x - h)² + ( y - k)² = r²
where r is the radius and
( h , k) is the center of the circle
From the question the radius R = 1/3
the center ( h ,k ) = (4/3 , -8/3)
Substituting the values into the above equation
We have

We have the final answer as

Hope this helps you
Answer:

Step-by-step explanation:
Well we can start by seeing if the parabola is the same width by comparing it to its parent function ( y = x^2 )
In y = x^2 the 2nd lowest point is just up 1 and right 1 away from the vertex.
This is not true for our parabola.
So we can widen it by to the desidered width by making the x^2 into a .5x^2.
So far we’ve got y = .5x^2
Now the parabola y intercept is at -5.
So we can add a -5 into the equation making it.
y = .5x^2 - 5
Now for the x value.
So we can find the x value by seeing how far away the parabola is from from the y axis.
So the x value is -2x.
So the full equation is 
Look at the image below to compare.
(a.)
Mean= sum / n
Mean= (123+116+122+110+175+126+125+111+118+117) / 10
Mean=1243 / 10
Mean= 124.3
Median:
Rearranged the data in order first
110,111,116,117,118,122,123,125,126,175
118 and 122 are at the middle
Median=1/2(n1 + n2)
Median=1/2(118+122)
Median=240/2
Median= 120
(b) 175 is the larger than the others value and larger than the mean, so it is the substantial difference between the mean and the highest value (175).