Graph the system of linear equations.<br> y = x + 5 and y = 2x + 2.

Equivalent fraction for 5/9, 4/15

svetlana [45]

5/9=10/18
4/15=8/30

5 0

3 years ago

Read 2 more answers

Identify the transformation that carries the figure onto itself?

Butoxors [25]

The polygon is reflected across the line y = 2 and rotate 360 clockwise about (2,4). Then the correct option is B.

<h3>What is a transformation of a point?</h3>

A spatial transformation is each mapping of feature space to itself, and it maintains some spatial correlation between figures.

The polygon is given below.

The polygon is reflected across the line y = 2 and rotate 360 clockwise about (2,4).

Then the correct option is B.

More about the transformation of a point link is given below.

brainly.com/question/27224339

#SPJ1

4 0

2 years ago

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

frosja888 [35]

Complete Question:

The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

Answer:

$y = \frac{1}{3}x$

Step-by-step explanation:

From the question, we understand that the line goes through $(2, 4), (3, 1), and\ (4, -2).$

First, we calculate the slope of the above points

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (2,4)$

$(x_2,y_2) = (3,1)$

$m = \frac{1 - 4}{3 - 2}$

$m = \frac{-3}{1}$

$m = -3$

Also; from the question, we understand that the line segment is perpendicular to the above points.

This slope (m2) of the line segment is calculated as:

$m_2 = -\frac{1}{m}$

Substitute -3 for m

$m_2 = -\frac{1}{-3}$

$m_2 = \frac{1}{3}$

Lastly, we calculate the equation of the line using:

$y - y_1 = m_2(x - x_1)$

The line segment has a midpoint at (3, 1)

So:

$y - 1 = \frac{1}{3}(x - 3)$

Open bracket

$y - 1 = \frac{1}{3}x - 1$

Add 1 to both sides

$y - 1 +1= \frac{1}{3}x - 1+1$

$y = \frac{1}{3}x$

Hence, the equation of the line segment is: $y = \frac{1}{3}x$

7 0

3 years ago

Read 2 more answers

Given three collinear points A,B,C with B between A and C, four different rays can be named using points AB, BA, BC, CB. How man

Dmitry [639]

Answer:

Given n collinear points, 2(n -1) or 2n - 2 rays can be named

Step-by-step explanation:

When we talk of collinear points, we mean points that lie on the same straight line.

For 3 collinear points we can have 4 rays

For 4 collinear points, let’s say ABCD

A B C D

The rays are AB BA BC CB CD and DC making a total of 6

For 5 collinear points,

A B C D E

The rays are;

AB BA BC CB CD DC DE ED which makes a total of 8

For 6 collinear points, we have;

A B C D E F

The rays are;

AB BA BC CB CD DC DE ED FE EF which makes a total of 10

So what pattern do we notice?

3 points 4 rays

4 points 6 rays

5 points 8 rays

6 points 10 rays

7 points 12 rays

So using the pattern

n rays = 2n - 2 rays or simply 2(n - 1) rays

8 0

4 years ago

Each shape is 1 whole. What fraction greater than 1 names the parts that are shaded?

jeka94

Any number over its self. for example 1,999/1,999

5 0

4 years ago

Graph the system of linear equations. y = x + 5 and y = 2x + 2.