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Playlist PSAT® Math 45 videos

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Secret Ingredients
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PSAT 1.3 Math Narrative Walkthrough. How many full packages of secret ingredient does the company have to buy to make one 50-gallon batch?

1
James and Steve Rowboat Friendship
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2
Which Graph Represents the Equation?
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PSAT 1.2 Math Narrative Walkthrough. Which graph represents the equation?

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PSAT 1.8 Math Narrative Walkthrough 172 Views


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Description:

PSAT 1.8 Math Narrative Walkthrough. Which description of a circle corresponds to the equation?


Transcript

00:00

Thank you We sneak and here's your shmoop du jour

00:05

Brought to you by hijackers Be careful They're not nearly

00:08

as polite is their name suggests which description of the

00:12

circle correspond City equation wanted the expos two squared plus

00:15

quantity y plus three squared equals nine And here potential

00:18

answers Okay so we're looking for the description of a

00:22

circle This is important stuff Because of a circle ever

00:25

hijacks your car you'll want to be able to give

00:27

a clear description Otherwise he might just roll free Were

00:30

given an equation X plus two squared Plus why Plus

00:33

three great design Yeah Kind of like that princes and

00:36

were tasked with finding the answer choice that accurately describes

00:40

that circle But we don't see anything about hair eye

00:42

color here so probably need you bit of math Unfortunately

00:45

not too much though because if we know the standard

00:47

equation of a circle and hopefully we dio then this

00:49

problem is a snap Here it is X minus h

00:53

squared plus y minus k squared equals r square Well

00:57

gee golly will occurs That looks an awful lot like

00:59

our equation already So we really don't have to do

01:02

Too much with it Since the center of a circle

01:04

is represented by the point h k in the standard

01:06

equation we just have to look at the numbers in

01:08

our equation and see how they line up while the

01:11

two here is our age And the three here is

01:13

rk But notice that there are a couple minus signs

01:16

in the standard equation meaning we'll have to change the

01:19

signs on our numbers to making the center of the

01:22

circle negative too negative Three now for the radius which

01:25

is the number on the other side of the equal

01:27

sign But the radius isn't r squared it just plain

01:31

old are so we'll need to reverse the operation here

01:33

Taking the square root of nine You get three just

01:37

to make sure we can plug everything back into the

01:39

standard equation and yep checks out there we go there

01:42

to describe this circle We'd say it has a center

01:44

located at point Negative Too Negative three with a radius

01:47

of three But looks like answer choice d already beat

01:51

us to it Special warning to all you rectangles out

01:53

there Unfortunately you're the number one target of thieving circles

01:57

If you leave your vehicle unattended there's a good chance 00:02:00.402 --> [endTime] That will be a polygon sixty seconds Oh nelly

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