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
yuradex [85]
3 years ago
9

Graph x+y=8 and x-y=4

Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

Answer:

See attached photo for graphs.  

Step-by-step explanation:

The first step is to solve each equation for y, then graph using slop-intecept form...

x + y = 8

 

  y = -x + 8         (subtract x from both sides)

x - y = 4

   -y = -x + 4     (subtract x from both sides)

       y = x - 4       (divide both sides by -1)    

You might be interested in
Find the standard form of the equation of the circle with endpoints of a diameter at the points (3,8) and (-7,2)
poizon [28]

(x+2)^{2}+(y-5)^{2}= 34

The equation of a circle in standard form is

(x-a)^{2}+(y-b)^{2}=r^{2}

where (a , b) are the coordinates of the centre and r is the radius

The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints

Using the midpoint formula

midpoint = [\frac{1}{2}(xx_{1}+x_{2}, \frac{1}{2}(y_{1}+y_{2}

where (x_{1},y_{1}=(3,8) and (x_{2},y_{2}=(-7,2)

centre = (\frac{1}{2}(3-7),\frac{1}{2}(8+2)) = (-2,5)

Calculate r using the distance formula

r = √(x_{2}-x_{1})²+(y_{2}-y_{1})²)

= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34

equation of circle is : (x+2)²+(y-5)² = 34


8 0
3 years ago
I’ll mark you brainlist I’ll mark you brainlist
REY [17]

Answer:

453 have a nice night

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through
stiks02 [169]

Answer:

x + 2y= 2

Step-by-step explanation:

Given

Points:

F = (4,9)

G = (1,3)

Required

Determine the equation of line that is perpendicular to the given points and that pass through (2,0)

First, we need to determine the slope, m of FG

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

Where

F = (4,9) --- (x_1,y_1)

G = (1,3) --- (x_2,y_2)

m = \frac{3 - 9}{1 - 4}

m = \frac{- 6}{- 3}

m =2

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

m_2 = -\frac{1}{m}

m_2 = -\frac{1}{2}

The equation of the line is then calculated as:

y - y_1 = m_2(x - x_1)

Where

m_2 = -\frac{1}{2}

(x_1,y_1) = (2,0)

y - 0 = -\frac{1}{2}(x - 2)

y  = -\frac{1}{2}(x - 2)

y  = -\frac{1}{2}x + 1

Multiply through by 2

2y = -x + 2

Add x to both sides

x + 2y= -x +x+ 2

x + 2y= 2

Hence, the line of the equation is x + 2y= 2

8 0
3 years ago
Read 2 more answers
Allowing 20% discount on the marked price. of 아 a watch, the value of the watch will be Rs. 2378. If the VAT of 10% is added, fi
Harrizon [31]

Answer:

The marked price of the watch is $2,702.27.

Step-by-step explanation:

Since allowing 20% discount on the marked price of a watch, the value of the watch will be Rs. 2378, to determine, if the VAT of 10% is added, it's marked price, the following calculation must be performed:

1 - 0.2 = 0.8

0.8 x 1.1 = 2378

0.88 = 2378

0.88 = 2378

0.8 = X

0.8 x 2378 / 0.88 = X

1,902.4 / 0.88 = X

2,161.81 = X

0.8 = 2,161.81

1 = X

2,161.81 / 0.8 = X

2,702.27 = X

Therefore, the marked price of the watch is 2,702.27.

4 0
2 years ago
Use interval notation to express the following:<br> The set of all numbers less than 2.
AlexFokin [52]

Answer:

( - infinity, -3 ] [ -2, infinity )

square bracket means it includes the end point.

Step-by-step explanation:

(-∞, -3]U [-2,∞)

3 0
3 years ago
Other questions:
  • Jaimie is looking for a golf ball that he hit into the air towards a fence surrounding the golf course. The fence has a height o
    8·1 answer
  • What is the slope of the line that passes through (2 0 ) and (5 0)
    12·2 answers
  • How do you simplify 3/2 over 1
    9·1 answer
  • Los siguientes problemas se encuentran en lenguaje común, traduzcan cada uno de ellos a lenguaje algebraico solamente. AEel cuad
    11·1 answer
  • A distribution has the five-number summary shown below. What is the range
    11·2 answers
  • Myra’s tutor used these steps to solve the problem 10x^2=90.
    5·1 answer
  • Help, I have to turn this in soon
    9·2 answers
  • There are 5/6 jugs of water and 3/10 of the water are for the other runners. How many jugs of water is there
    8·1 answer
  • I need help writing these in numerical form someone help please.
    7·1 answer
  • Math answer? can someone help?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!