What is the standard form of each circle? (questions 19& 20)

Step-by-step explanation:

A circle is typically written in Vertex Form often called Standard Form by some. Its form is where (h,k) is the center and r is the radius. When given the end points of the diameter of the circle, find the distance between the points and halve it for the radius. To identity the vertex, find the midpoint of the diameter.

Radius

Use the distance formula to find the length of the segment by substituting in the end points.

The diameter is 2 and the radius is 1.

Vertex

To find the vertex, find the midpoint of the segment using the midpoint formula.

Write the equation of the circle as

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.