All categories

4 years ago

Graph the line that represents this equation:y+2=1/2(x+2)

Mathematics

2 answers:

VARVARA [1.3K]4 years ago

8 0

Answer:

Step-by-step explanation:

bezimeni [28]4 years ago

7 0

Answer:

Here's what I get.

Step-by-step explanation:

1) Solve the equation for y

y + 2 = ½(x + 2)

y = ½(x + 2) - 2

(2) Create a table containing a few values of x and y

I chose x = -2, 0, and 2.

$\begin{array}{rr}\mathbf{x} & \mathbf{y}\\-2 & -2\\0 & -1\\2 & 0\\\end{array}$

(3) Plot your points

Draw dots at the coordinates of each point.

(4) Draw the graph

Draw a smooth line through the points.

Extend the lines in both directions to the edges of the plot area.

Your graph should look something like the diagram below.

You might be interested in

Is y= -9/5x + 1/5 perpendicular to y= 5/9x + 2/9

Lunna [17]

The given lines are perpendicular

Step-by-step explanation:

if Two lines are perpendicular then their slopes are

m $m_{1}=-\frac{1}{m_{2}}$

Where m₁ is slope of first line and m₂ is the slope of second line.

Since the lines are in slope-point form the standard form is:

$y=mx+b$

where m is the slope

The slope of first line y= -9/5x + 1/5 is: m₁ = -9/5

The slope of second line y= 5/9x + 2/9 is: m₂= 5/9

So, m $m_{1}=-\frac{1}{m_{2}}$ i.e $-\frac{9}{5}=\frac{5}{9}$

So, The given lines are perpendicular

Keywords: Perpendicular lines, slope

Learn more about Perpendicular lines at:

#learnwithBrainly

3 0

3 years ago

Coach Ann is setting up a 2.7-kilometer race. She uses flags to mark off 9 equal sections of the race. How far apart should she

disa [49]

I’d say 0.3km

2.7 divided by 9 = 0.3

:)

7 0

3 years ago

Thomas can mow 3 lawns in 4 hours. What is the unit rate of lawns per hour that he can mow?

Andrej [43]

Answer:

Thomas can mow 75% of lawns in 1 hour

Step-by-step explanation:

Divide 3/4 to get 0.75.

The unit rate is 0.75 to 1

Hope this helps! Pls mark brainliest

5 0

3 years ago

Read 2 more answers

Use the compound interest formula, . If $10,000 is invested at 2 percent quarterly for 5 years, what is the amount at the end of

Sonbull [250]

<span>The answer to this question is either 6.16778% or 6%

</span>

4 0

4 years ago

Read 2 more answers

A fair four-sided die has two faces numbered 0 and two faces numbered 2. Another fair four-sided die has its faces numbered 0, 1

Mandarinka [93]

The two dice have PMFs

$P(X=x)=\begin{cases}\dfrac12&\text{for }x\in\{0,2\}\\\\0&\text{otherwise}\end{cases}$

$P(Y=y)=\begin{cases}\dfrac14&\text{for }y\in\{0,1,4,5\}\\\\0&\text{otherwise}\end{cases}$

The sum of the two rolls can take on 8 different values:

$W=\begin{cases}0&\text{if }x=0,y=0\\1&\text{if }x=0,y=1\\2&\text{if }x=2,y=0\\3&\text{if }x=2,y=1\\4&\text{if }x=0,y=4\\5&\text{if }x=0,y=5\\6&\text{if }x=2,y=4\\7&\text{if }x=2,y=5\end{cases}$

The outcome of either roll is independent of the other, so that

$P(X=x\text{ and }Y=y)=P(X=x)P(Y=y)$

a. Then PMF of $W$ is

$P(W=w)=\begin{cases}\dfrac12\cdot\dfrac14=\dfrac18&\text{for }w\in\{0,1,2,3,4,5,6,7\}\\\\0&\text{otherwise}\end{cases}$

b. The histogram is nothing special, same as the discrete uniform distribution over the interval [0, 7].

3 0

4 years ago