What is the distance, to the nearest hundreth, between the following 2 points: (-7,5) and (4,8)

Beyonce is solving a system of equations:

aivan3 [116]

Answer:

x=5, y=4. (5, 4).

Step-by-step explanation:

2x-3y=-2

4x+y=24

------------------

-2(2x-3y)=-2(-2)

4x+y=24

----------------------

-4x+6y=4

4x+y=24

--------------

7y=28

y=28/7

y=4

4x+4=24

4x=24-4

4x=20

x=20/4

x=5

8 0

3 years ago

What happens to the sign or signs of the coordinates when you reflect a point?

elena55 [62]

Part a: Reflecting a point across the x-axis, changes the sign of the y-coordinate.

Part b: Reflecting a point across the y-axis, changes the sign of the x-coordinate.

Part c: Reflecting a point across both the axes, changes the signs of both the coordinates.

Explanation:

Part a: Reflecting a point across the x-axis

The reflection is a transformation of a figure which represents a flip.

The rule for a reflection over the x -axis is given by

$(x, y) \rightarrow(x,-y)$

Hence, this represents the change of sign of the y-coordinate.

Thus, Reflecting a point across the x-axis, changes the sign of the y-coordinate.

Part b: Reflecting a point across the y-axis

The rule for a reflection over the y -axis is given by

$(x, y) \rightarrow(-x, y)$

Hence, this represents the change of sign of the x-coordinate.

Thus, Reflecting a point across the y-axis, changes the sign of the x-coordinate.

Part c: Reflecting a point across both the axes

The rule for a reflection across both the axes is given by

$(x, y) \rightarrow(-x, -y)$

Hence, this represents the changes the signs of both the coordinates.

Thus, Reflecting a point across both the axes, changes the signs of both the coordinates.

6 0

3 years ago

Two carpenters are building a fence after 5 minutes,one carpenter is finished 4/7 of the way an the other is finished 1/8 of the

torisob [31]

The first carpenter is 0.4464 of the way is ahead of the second carpenter

<u>Solution:</u>

Given, Two carpenters are building a fence

After 5 minutes, one carpenter is finished 4/7 of the way

Second carpenter finished 1/8 of the way

Now, let us find the work done by each carpenter

$\begin{array}{l}{\text { For } 1^{\text {st }} \text { carpenter }=\frac{4}{7}=0.5714 \text { approximately. }} \\\\ {\text { For } 2^{\text {nd }} \text { carpenter }=\frac{1}{8}=0.125}\end{array}$

Then, extra work done by first carpenter over second carpenter = work done by first carpenter – work done by second carpenter

= 0.5714 – 0.125 = 0.4464

Hence, the 1st carpenter is 0.4464 of the way is ahead of the 2nd carpenter

6 0

4 years ago

Someone please help me

Cloud [144]

Answer:

r=12

Step-by-step explanation:

Look, we can reverse the problem to get 23-11=r. This means that r=12.

6 0

3 years ago

Read 2 more answers

Multiply or divide. Show your work.<br><br> 3n²-n/n²-1÷n²/n+1

Ugo [173]

$\frac{3n^{2} - n}{n^{2} - 1} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n) - n(1)}{n^{2} + n - n - 1} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{n(n) + n(1) - 1(n) - 1(1)} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{n(n + 1) - 1(n + 1)} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{(n - 1)(n + 1)} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{(n - 1)(n + 1)} * \frac{n + 1}{n^{2}}$
$\frac{3n - 1}{n - 1} * \frac{1}{n}$
$\frac{3n - 1}{n(n - 1)}$

5 0

4 years ago