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PSAT 1.34 Math Diagnostic 186 Views


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Description:

PSAT 1.34 Math Diagnostic. Which of the following equations best represents circle K?

Language:
English Language

Transcript

00:00

Sorry And here's your smoked You sure Brought to you

00:04

by the circle k ranch and a dairy farm where

00:07

every animal is circle shape It makes milking cows a

00:11

real challenge All right check out this craft circle k

00:15

is shown in the coordinate plane above Went to the

00:17

following equations Best represents circle k and hear potential answer

00:22

Who were smelling blood gratings here already Well before we

00:25

do anything at all even put on our shoes Come

00:28

on now you missed your window We'll need to recall

00:30

that standard equation for us Circle for the forgetful and

00:33

absent minded Here it is x minus h squared plus

00:37

y minus k squared equals r squared That thing where

00:40

the center of the circle is point h k in

00:43

the radius is our we've been given the circle center

00:45

as indicated by this lovely blue dot here And it

00:48

looks like it's located at point three Negative six so

00:52

we can now plug in three for age and negative

00:54

Six Four k Watch the signs when we plug in

00:57

negative six for k we're taking why Minus negative six

01:01

which is the same as y plus six so that

01:03

gives us x minus three squares plus y plus six

01:07

squared equals r squared Okay we're making some headway here

01:10

Incidentally if you're wondering what's ahead weigh about eighty pounds

01:13

all right now we need some point on circle so

01:16

we can determine the radius Well if we go seven

01:19

along the x axis then down six boom there we

01:23

go Seven negative six is one such point now since

01:26

we know that the radius is the distance from the

01:28

centre to any point on the circle We can also

01:30

deduce that the radius is four because seven right here

01:34

minus three right here equals four Well now we have

01:37

everything we need right the equation for this particular circle

01:40

This is what it looks like X money three squared

01:42

plus why plus six forty full sixteen which is option

01:47

c our final answer All right we gotta run Looks 00:01:49.977 --> [endTime] like a few of our horses got loose

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