Point P is located at -7 . Points Q and R are each 7 units away from Point P. Where are Q and R located? Q=◻quadR=

Understand the problem: Understand the problem. We need to find the locations of Points Q and R, which are each 7 units away from Point P. Since no direction is specified, we assume that Q and R are on a number line with P at -7. There are two possibilities for Q and R: either both are to the left of P, both are to the right of P, or one is to the left and the other is to the right.Determine Q location: Determine the location of Point Q. If Point Q is 7 units away from Point P and to the right, we add 7 to the position of Point P. Q = P + 7 Q = -7 + 7 Q = 0Determine R location: Determine the location of Point R. If Point R is 7 units away from Point P and to the left, we subtract 7 from the position of Point P. R = P - 7 R = -7 - 7 R = -14

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Point
P is located at -7 . Points
Q and
R are each 7 units away from Point
P. Where are
Q and
R located?

Q=◻quadR=

Point $\mathrm{P}$ is located at $-7$ . Points $\mathrm{Q}$ and $\mathrm{R}$ are each $7$ units away from Point $\mathrm{P}$ . Where are $\mathrm{Q}$ and $\mathrm{R}$ located? $\newline$ $\mathrm{Q}=\square \quad \mathrm{R}= \square$

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Math Problems

Grade 8

Translations: find the coordinates

Full solution

Q. Point

\mathrm{P}

is located at

-7

. Points

\mathrm{Q}

and

\mathrm{R}

are each

7

units away from Point

\mathrm{P}

. Where are

\mathrm{Q}

and

\mathrm{R}

located?

\newline

\mathrm{Q}=\square \quad \mathrm{R}= \square

Understand the problem: Understand the problem. $\newline$ We need to find the locations of Points $Q$ and $R$ , which are each $7$ units away from Point $P$ . Since no direction is specified, we assume that $Q$ and $R$ are on a number line with $P$ at $-7$ . There are two possibilities for $Q$ and $R$ : either both are to the left of $P$ , both are to the right of $P$ , or one is to the left and the other is to the right.
Determine Q location: Determine the location of Point Q. $\newline$ If Point Q is $7$ units away from Point P and to the right, we add $7$ to the position of Point P. $\newline$ $Q = P + 7$ $\newline$ $Q = -7 + 7$ $\newline$ $Q = $0$
Determine R location: Determine the location of Point R.$\newline$If Point R is $7$ units away from Point P and to the left, we subtract $7$ from the position of Point P.$\newline$$R = P - 7$$\newline$$R = -7 - 7$$\newline$$R = -14$