Henry counted units to find the distance between two points. For which pair of points could he have done this ? Select all that apply.

Options:

(–3, 5) and (–2, 5)         (–3, 5) and (–9, 3)

(5, 3) and (9, 3)             (5, –9) and (3, –5)

(2, 3) and (7, 3)

(–3, 5) and (–2, 5)

(5, 3) and (9, 3)

(2, 3) and (7, 3)

Step-by-step explanation:

To do this, have to compare the both x and both y coordinates of the points.

If the x coordinates are equal or the y coordinates are equal, then that option is true

For (a): (-3,5) and (-2,5)

The y coordinates are the same:

i.e.

This option is true

For (b): (-3, 5) and (-9, 3)

None of the coordinates are the same;

i.e.

Hence, this option is false.

For (c): (5, 3) and (9, 3)

The y coordinates are the same:

i.e.

This option is true

For (d): (5, -9) and (3, -5)

None of the coordinates are the same;

i.e.

Hence, this option is false.

(2, 3) and (7, 3)

The y coordinates are the same:

i.e.

This option is true

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.