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Point
R is located at -4 . Points
S and
T are each 10 units away from Point
R. Where are
S and
T located?

S=◻T=◻

Point $\mathrm{R}$ is located at $-4$ . Points $\mathrm{S}$ and $\mathrm{T}$ are each $10$ units away from Point $\mathrm{R}$ . Where are $\mathrm{S}$ and $\mathrm{T}$ located? $\newline$ $\mathrm{S}=\square \quad \mathrm{T}=\square$

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Translations: find the coordinates

Full solution

Q. Point

\mathrm{R}

is located at

-4

. Points

\mathrm{S}

and

\mathrm{T}

are each

10

units away from Point

\mathrm{R}

. Where are

\mathrm{S}

and

\mathrm{T}

located?

\newline

\mathrm{S}=\square \quad \mathrm{T}=\square

Identify Initial Position: Identify the initial position of Point $R$ . Point $R$ is located at $-4$ on a number line.
Determine Possible Positions: Determine the possible positions of Points $S$ and $T$ . Since Points $S$ and $T$ are each $10$ units away from Point $R$ , they can be located either $10$ units to the left or $10$ units to the right of Point $R$ .
Calculate Position of S: Calculate the position of Point S. $\newline$ If Point S is $10$ units to the right of Point R, we add $10$ to the position of Point R. $\newline$ $S = R + 10 = -4 + 10 = 6$
Calculate Position of T: Calculate the position of Point T. $\newline$ If Point T is $10$ units to the left of Point R, we subtract $10$ from the position of Point R. $\newline$ $T = R - 10 = -4 - 10 = -14$

More problems from Translations: find the coordinates

Question

\mathrm{G}

-10

\mathrm{H}

\mathrm{I}

8

units away from Point

\mathrm{G}

\mathrm{H}

\newline

\mathrm{H}=\square \quad \mathrm{I}=\square

Posted 8 months ago

Question

\mathrm{I}

-3

\mathrm{J}

\mathrm{K}

10

units away from Point

\mathrm{I}

\mathrm{J}

\mathrm{K}

\newline

\mathrm{J}=\square \quad \mathrm{K}=\square

Posted 8 months ago

Question

The coordinates of the point

G

(-6,-7)

and the coordinates of point

H

(-6,10)

. What is the distance, in units, between the point

G

H ?

\newline

\square

Posted 8 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$500

and her balance at the end of three years,

\$546.36

r

did Jeanne earn interest?

\newline

546.36 = 500(1 + r)

Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$ 350

and her balance at the end of three years,

\$ 422.78

. At what rate r did Jeanne earn interest?

\newline

422.78=350(1+r)^{3}

Posted 1 month ago

Question

10\text{-kg}

bucket is lifted from the ground to a height of

14\, \text{m}

at a constant speed with a rope that weighs

0.6\, \text{kg/m}

. Initially the bucket contains

42\, \text{kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\, \text{m}

level. How much work is done? (Use

9.8\, \text{m/s}^2

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

Posted 1 month ago

Question

10-\mathrm{kg}

bucket is lifted from the ground to a height of

14

m at a constant speed with a rope that weighs

0.6 \mathrm{~kg} / \mathrm{m}

. Initially the bucket contains

42

kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14-\mathrm{m}

level. How much work is done? (Use

9.8 \mathrm{~m} / \mathrm{s}^{2}

\newline

Show how to approximate the required work (in J) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_{i}^{* *}

x_{i}

\newline

\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(\boxed{98+35.28 x_{i}}\right) \Delta x

\newline

Express the work (in J) as an integral in terms of

x

\newline

\int_{0}^{14}(98+35.28 x

\newline

Evaluate the integral (in J). (Round your answer to the nearest integer.)

Posted 1 month ago

Question

Solve the equation.

\newline

6 w^{7}=98,304

Posted 1 month ago

Question

10\text{-kg}

bucket is lifted from the ground to a height of

14\text{ m}

at a constant speed with a rope that weighs

0.6\text{ kg/m}

. Initially the bucket contains

42\text{ kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\text{-m}

level. How much work is done? (Use

9.8\text{ m/s}^2

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

Posted 1 month ago

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