1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lana71 [14]
3 years ago
14

Need some help! Graph the equations y=3x-5 and x+3y=6 on the same xy-plane. What is significant about these two lines? (Explain

your answer)
Thanks!

Mathematics
1 answer:
adell [148]3 years ago
6 0
To solve this, we must first put both lines in Slope Intercept Form (y=mx+b where m is the slope and b is the y-intercept).

y=3x-5 is already in SIF, so we only need to work on the other one.

 x+3y=6
-x       -x
 3y=-x+6
 /3      /3
 y=-1/3x+2

Now we have both equations in slope intercept form, so we can start graphing from the y-intercepts and just follow the slopes.

When we do this, we will see that the lines meet at an exactly 90° angle. When a pair of lines does this, it means they are perpendicular.

Below I have attached an image that has both lines graphed so that you may visualize it. The green dots show the slopes, while the highlighted areas show the y-intercepts. Note that the lines intersect at a 90° angle, making them perpendicular.

You might be interested in
Yunika downloaded three applications for $2.99 each to her cell phone. The remaining applications that Yunika purchased cost $1.
777dan777 [17]
You can formulate the equation below to work out your question:

3(2.99) + 1.99(x-3) 
8.97 + 1.99x - 5.97
1.99x + 3 

CHECK:
If x = 5
3 x 2.99 + 2 x 1.99 = 8.97 + 3.98 = 12.95
1.99 x 5 +3 = 12.95

Hope I helped.
7 0
3 years ago
Read 2 more answers
A building manager installs sensors to see how often people turn of the lights when they leave a room. After a month the manager
RideAnS [48]

Answer:

The confidence level for a confidence interval of 46.4% to  47.6% is 99.7%.

Explanation:

First of all, the choices for this question are missing so I will include the ones I found for this exact question. The missing options are as follows:

A. 85% B. 95% C. 68% D. 99.7%

When it comes to statistics, a confidence interval (CI) is  a type of interval estimate  of a population parameter. Statistics is all about drawing conclusions in the face of uncertainty. Whenever you take a sample, you can’t be completely certain that your sample truly reflects the population it’s drawn from.

In conclusion, from the choices presented, the best option is the last one. Option D.


5 0
3 years ago
Read 2 more answers
If a triangle has a height of 14 inches and a base of 9 inches what's the area
enot [183]

area = 1/2 x h x b

14*9 = 126

126/2 = 63 square inches

4 0
3 years ago
Read 2 more answers
6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y Complete the missing value in the solution to the equation. (((
Dmitrij [34]

Answer:

<h3>The missing value in the given solution is x=6</h3><h3>Therefore the solution is (6,-4)</h3>

Step-by-step explanation:

Given equation is 6x+7y=4x+4y\hfill (1)

<h3>To find the missing value in the solution to the equation :</h3>
  • Let missing value in the solution be x
  • Then the solution of the given equation is (x,-4)

Substitute the value of y=-4 in the given equation (1) we get

6x+7(-4)=4x+4(-4)

6x-28=4x-16

6x-28-(4x-16)=4x-16-(4x-16)

6x-28-4x+16=4x-16-4x+16 ( adding the like terms )

2x-12=0

2x=12

x=\frac{12}{2}

Therefore x=6

<h3>Therefore the missing value in the given solution is x=6</h3><h3>Therefore the solution is (6,-4)</h3>

8 0
3 years ago
Please help due in 5 minutes
soldier1979 [14.2K]

Answer:

(-1,-2)

Step-by-step explanation:

There is a solution where the two expressions intersect. We can plug in what we know in the first equation in the second.

x= -1

y=3x+1

y= 3(-1)+1

y= -3+1

y= -2

Plugging y value in the equation to find x:

-2=3x+1

-3=3x

x= -1

Therefore, the point is (-1,-2)

<em>I hope this helps! :)</em>

5 0
3 years ago
Read 2 more answers
Other questions:
  • Pls can someone help me on this thank you
    15·3 answers
  • How do I solve this?
    8·1 answer
  • Using this nomogram, what is the magnitude of an earthquake that is 500 km from a seismic station and has an amplitude of 0.2 mm
    6·1 answer
  • Is this true or false?
    12·1 answer
  • Please help !
    7·1 answer
  • the perimeter of a rectangle field is 118m. if the length of the rectangle is 7m less than twice the width what is the length​
    12·2 answers
  • Pat thinks of a number that is greater than 4 and less than 5.He doubles the number
    11·1 answer
  • In parallelogram RSTU if RT=36 find RV.
    6·2 answers
  • The table below shows the number of yards the students walked during recess today.
    11·1 answer
  • Becky’s mother works in an office, and her father works in a hospital. They both walk to work from home every day. Each unit on
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!