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
zzz [600]
3 years ago
9

What is an equation of the line that passes through the poin (-4,3) and is parallel that line 4x-5y=20

Mathematics
2 answers:
Oksanka [162]3 years ago
7 0

Answer:

y = 4/5x + 6 1/5

Step-by-step explanation:

First, rearrange the equation to put it in the form y = mx + b. Once you put it in that form, m will be the slope and b will be the y-intercept (for example, if the equation is y = 3x - 1 then 3 is the slope and -1 is the y-intercept)

4x - 5y = 20

subtract 4x from both sides

-5y = -4x + 20

divide both sides by -5

y = 4/5 * x - 4

This means the slope of this line is 4/5

Parallel lines always have the same slope, so again you can put your new equation in the form y = mx + b and you have that the slope, or m, = 4/5 so this would be:

y = 4/5x + b

Now, you know that (-4, 3) is a solution so if you plug in x = -4 and y =3 the equation should be true:

3 = 4/5 * -4 + b

3 = -16/5 + b

6 1/5 or 6.2 = b

So the equation is y = 4/5x + 6 1/5 or y = 0.8x + 6.2

Anestetic [448]3 years ago
4 0

Answer:

y = 4/5x + 31/5

Step-by-step explanation:

parallel lines have the same gradient(m)

and the straight like equation is y=mx +c

so to find m , make y the subject.

m will equal to 4/5.

The x and y values are given substitute them and the value to y=mx + c , to find c.

After you have c, place the value of m and c in their places and you'll get: y=4/5x + 31/5

You might be interested in
An event has a probability of 1/2. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
noname [10]

Answer:

Equally Likely

Step-by-step explanation:


The answer is equally likely because equally likely events have the same probability of happening as another event.

For example, a fair coin.

It has a 1/2 chance of beng tails, and 1/2 chance of being heads, meaning that both tails and heads are Equally Likely to land.

Hope this helps!

7 0
2 years ago
Which of the following does NOT describe a rational number? A- Non-repeating decimal B- Perfect square (ex: square root of 4) C-
alexandr1967 [171]

Answer:

Non-repeating decimal

Step-by-step explanation:

As a example, 32.93729, would be a never ending number. Which means it's not a rational number, it is a irrational number.

6 0
3 years ago
Read 2 more answers
The perimeter of a square is 36<br>what is the area of the square?​
zmey [24]

Answer: 81 units²

Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.

Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.

Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.

So the area of a square that has a perimeter of 36 is 81 units².

6 0
3 years ago
Write the rule of this pattern 5,20,80,320
Luden [163]
Times 4 because, 5 times 4 is 20, 20 times 4 is 80 and so on.
6 0
3 years ago
Read 2 more answers
The mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructo
Nikolay [14]

Answer:

The probability of choosing a professor or an instructor is 47.22%.

Step-by-step explanation:

Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:

11 + 12 + 7 + 6 = 100

11 + 6 = X

36 = 100

17 = X

17 x 100/36 = X

1700/36 = X

47.22 = X

The probability of choosing a professor or an instructor is 47.22%.

8 0
3 years ago
Other questions:
  • 85432.67<br> Scientific notation
    14·1 answer
  • What is 3 3/8+ 5/12=_____.Plz tell me!
    6·1 answer
  • An apple pie is divided into eight equal slices with each slice being 280 calories. How much calories are in the entire pie
    8·1 answer
  • Which of the following questions describes the equation a - 5 = -12?
    10·1 answer
  • A triangle has sides that measure 2 units, 5 units, and 5.39 units. What is the area?
    10·1 answer
  • Plz, help me with this question!
    7·1 answer
  • Please answer the picture. :)
    11·2 answers
  • The diameter of a bicycle wheel is 26 inches How many feet will the bicycle travel if the wheels turn 20 times? Explain how you
    6·1 answer
  • The ratio of the sides of two similar regular octagons is 4:7. If the measure of each side of the larger octagon is 28 cm, then
    9·1 answer
  • James buys a new sofa for $940. If the sales tax is 6.5%, what will be his total cost
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!