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
natali 33 [55]
3 years ago
12

An equation parallel and perpendicular to 4x+5y=19

Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer:

Parallel line:

y=-\frac{4}{5}x+\frac{9}{5}

Perpendicular line:

y=\frac{5}{4}x-\frac{1}{2}

Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

4x+5y=19

we can change it into y=mx+b form

5y=-4x+19

y=-\frac{4}{5}x+\frac{19}{5}

so,

m=-\frac{4}{5}

Parallel line:

we know that slope of two parallel lines are always same

so,

m'=-\frac{4}{5}

Let's assume parallel line passes through (1,1)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-1=-\frac{4}{5}(x-1)

now, we can solve for y

y=-\frac{4}{5}x+\frac{9}{5}

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

m'=\frac{5}{4}

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-2=\frac{5}{4}(x-2)

now, we can solve for y

y=\frac{5}{4}x-\frac{1}{2}


You might be interested in
What is 12.125 as a fraction 
yulyashka [42]
12 \frac{1}{8}
3 0
3 years ago
How many people were included in the sample shown below?
Svetlanka [38]

Answer:

7 people

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A large box of chocolates cost €18. If the large box cost €4 more than the small box ,then what is the price of the small box of
storchak [24]
14 euros is the answer :)

6 0
3 years ago
Read 2 more answers
Which equation represents an exponential function that passes through the point (2, 80)?
Fudgin [204]

The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have; an exponential function that passes through the point (2, 80).

f(x) = 4(x)⁵

Plug (2, 80) in the abovew function:

f(2) = 4(2)⁵ = 128 (false)

f(x) = 5(x)⁴

Plug (2, 80) in the abovew function:

f(2) = 5(2)⁴ = 80 (true)

f(x) = 4(5)ˣ

f(2) = 4(5)² = 100 (false)

f(x) = 5(4)ˣ

f(2) = 5(4)² = 80 (true)

Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

3 0
2 years ago
- HELP - pls help me solve for the missing measurements
Nady [450]

Answer:

radius-29.0113 in

diameter-58.0226 in

area-2,644.14 in squared

Step-by-step explanation:

I am sorry if it's wrong, but i am 99% sure it is.

5 0
3 years ago
Other questions:
  • Sophia bought 2 jars of pickles for $65. What is the unit price?
    12·1 answer
  • What is a large metal pot used for cooking over a fire? Hoax, Cauldron, Phantom?
    7·2 answers
  • Assume that the given statements are true. What conclusion, if any, can be drawn from these premises? ~p → q and r → ~q Select t
    12·1 answer
  • Write this number in standard form.12 ten thousands,8 thousands,14 hundreds,7 ones
    11·1 answer
  • 8 minus a number<br> N/8<br> 8-n<br> 8/n <br> 8n
    9·2 answers
  • Code<br><br> fg2p3e2<br><br> Only from ages to 12 up to 16
    7·2 answers
  • Alexis divided a 1 3/4 pound bag of apples among 3 friends. how many pounds of apples did each friend receive?
    11·1 answer
  • Two angles are complementary. The smaller angle is less than the larger angle. What is the measure of the larger angle
    8·1 answer
  • You roll 2 dice and flip a coin. What's the probability of getting two 4's and a tails?
    14·1 answer
  • **Think about how many TOTAL pieces there will be.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!