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
Fudgin [204]
3 years ago
13

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

Enter your answer in the box
Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0

Step 1

<u>Find the slope of the given line</u>

we have

3x+4y=15

Isolate the variable y

Subtract 3x both sides

3x+4y-3x=15-3x

4y=-3x+15

Divide by 4 both sides

y=-\frac{3}{4}x+ \frac{15}{4}

the slope of the given line is

m=-\frac{3}{4}

Step 2

Find the equation of the line that passes through  the point (8,-2) and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

y-y1=m(x-x1)

we have

m=-\frac{3}{4}

(x1,y1)=(8,-2)

substitute in the equation

y+2=-\frac{3}{4}(x-8)

y=-\frac{3}{4}x+6-2

y=-\frac{3}{4}x+4  or  3x+4y=16

therefore

<u>the answer is</u>

y=-\frac{3}{4}x+4

or

3x+4y=16

You might be interested in
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
svet-max [94.6K]

Answer:

100.3 units²

Step-by-step explanation:

✅Find the area of the parallelogram:

Area of Parallelogram is given as base × height

base = 10

height = 5

Area of Parallelogram = 10*5 = 50

✅Next, find the area of the two semicircles:

The two semicircles = 1 circle

Area of circle = πr²

r = 8/2 = 4

Area = π*4² = 16π = 50.3 (nearest tenth)

✅Area of figure = 50 + 50.3 = 100.3 units²

3 0
3 years ago
If 5 times a number plus two is 17 what is the number​
sweet [91]

Answer:

3

Step-by-step explanation:

by question

5x+2=17

5×=15

×=3

8 0
3 years ago
Read 2 more answers
12 divided by 1 1/5 plz hurry asap
makkiz [27]

Answer:

10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Every time a customer purchases a new computer, one month later they receive a survey in the mail. Eighty-five percent of the su
True [87]

Answer:

Respondents

Step-by-step explanation:

The customers that buy a new computer and receive a survey in the mail about the performance of the computer after one month are called respondents.

They are called respondents because they took part in a survey or poll about the performance of the computer they bought a month ago. Statistically, not everyone that got the mail took part in the poll, those ones are called non respondents, while the ones that took part in the survey are known as respondents.

4 0
3 years ago
Whats the answer to this? Please help.
BaLLatris [955]

Answer:

The answer is just 1 and 3.

Step-by-step explanation:

To understand this problem, you must think of what whole numbers actually are.

Whole numbers consist of Positive integers and Zero.

Positive integers include 1, 2, 3, 4, 5, 6, ... etc

Zero is 0

The reason \frac{23}{5} isn't a whole number is because that fraction doesn't reduce any further and does not yield a whole number.

7 0
3 years ago
Other questions:
  • The planet Venus has a mass of 4.869 ∙ 1024 kilograms. Use scientific notation to express the planet’s mass in milligrams. 1 kil
    11·2 answers
  • Name three real life situations in which you would use a positive number
    5·1 answer
  • An access code consists of of a letter followed by four digits. Any letter can be used, the first digit cannot be 0, and the las
    9·1 answer
  • Cool Tees is having a Back to School sale where all t-shirts are discounted by 15%. Joshua wants to buy
    14·1 answer
  • ABCDE is a pentagon. AM is the line of symmetry. How can you find all the inner angles?​
    14·1 answer
  • can someone tell me if the left side is right? if not whats the correct way? also help me with the right side please :/​
    12·2 answers
  • Help me pleaseeeeeee:)
    11·1 answer
  • 68 DIVIDED BY 17<br> whats the answer
    15·2 answers
  • 2. Check the boxes for the following sets that are closed under the given
    11·1 answer
  • Kim has $10$ identical lamps and $3$ identical tables. How many ways are there for her to put all the lamps on the tables
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!