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
Genrish500 [490]
3 years ago
9

What is the equation of the line parallel to 8x−16y=−14 and passing through (3,0)?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
6 0

Answer:

2y = x - 3

Step-by-step explanation:

Parallel lines can be defined as lines that do not intersect and as a result of this, parallel lines have the same slope but different intercepts.

<u>Given the following data;</u>

Points (x, y) = (3, 0)

Equation is 8x - 16y = -14

To find the equation of the line?

First of all, we would have to determine the slope of the line;

y = mx + c ......equation 1

8x - 16y = -14

Rearranging the equation, we have

16y = 8x + 14

Dividing through by 16, we have;

y = 8/16(x) + 14/16

y = 1/2(x) + 7/8

Therefore, the slope, m is 1/2

*To find the intercept*

Since the line is parallel we would use, m = 1/2

Substituting the values into equation 1, we have;

y = mx + c for x = 3 and y = 0

0 = 1/2(3) + c

c = -3/2

Re-writing the equation of line;

Slope, m = 1/2

Intercept, c = -3/2

y = 1/2(x) + (-3/2)

Multiplying all through by the lowest common denominator "2"

2y = x - 3

You might be interested in
Which is an estimate of LaTeX: \sqrt{14}<br> 14<br> to the nearest hundredth?
Mariana [72]

Answer:

3.74

Step-by-step explanation:

Square root of a number is the number that multiplies by itself to result in, in this case, 14.  The number is irrational, often, though here is close to 3.74, according to the calculator.  Many, though not all, courses recommend calculators for determining square roots, as the mathematical process is quite complex and often not taught.  Try this if your course allows, and if not, wow that's a tough course.  

6 0
3 years ago
Read 2 more answers
Oceanside Bike Rental Shop charges 18 dollars plus 8 dollars an hour for renting a bike. Alyssa paid 50 dollars to rent a bike.
Verizon [17]

Answer:

4 hours

Step-by-step explanation:

Cost of renting a bike at Oceanside Bike Rental Shop = 18 + 8x

Where,

x = number of hours for renting the bike

Alyssa paid 50 dollars to rent a bike.

How many hours did she pay to have the bike checked out ?

C = 18 + 8x

50 = 18 + 8x

Subtract 18 from both sides

50 - 18 = 18 + 8x - 18

32 = 8x

Divide both sides by 8

32 / 8 = 8x / 8

4 = x

x = 4 hours

7 0
3 years ago
1. The box plot shows the ages of people attending a music concert. (4 points)
zhannawk [14.2K]

did you get the answers

8 0
3 years ago
Bruce's hourly wage increased from $12.00 to $13.00. What is the percent of increase?
vladimir1956 [14]

Answer:

Around 10

Step-by-step explanation:

Well, 10 percent of 12 is 1.2 because 12/10 is equal to that. Bruce's salary increased by exactly 1 dollar from 12 to 13. 1.2 can be rounded down pretty easily to 1 dollar so we know the answer is around 10. I don't really know everything about percentages so I'm not gonna take a wild guess and have you get it wrong. But not a lot of people are answering on brainly lately so I'm trying to help everyone as much as I can. Sorry, I hope this at least is a little bit of a guide for you.

8 0
3 years ago
Store A sells lawnmower fuel for $4.00 per gallon. Store B sells containers of fuel for $4.00 each. The cost of fuel at either s
Anika [276]

Answer:

$8.00 your welcome

7 0
3 years ago
Read 2 more answers
Other questions:
  • How to solve 6p^2-42p-48
    12·2 answers
  • The point at which a company's profits equal zero is called the company's break-even point. let R represent a company's revenue,
    7·2 answers
  • I WILL GIVE GOLD MEDALS PLEASE HELP ??? Can somebody help with these 2 math questions?
    8·1 answer
  • Which table of ordered pairs represents a proportional relationship?
    9·1 answer
  • Fill in the missing numbers to complete the pattern:<br> 5.7, 6.2, 6.7,_____, ______, 8.2
    6·1 answer
  • Here is a probability scale
    5·1 answer
  • There are 48 female performers in a dance recital. The ratio of men to women is 5:6. How many men are in the dance recital?
    14·1 answer
  • Find the difference of -12.7 - (-5.6)<br><br> 17.13<br> -7.13<br> -8.4
    12·1 answer
  • Enter the value of 3.4. (6 + 12).
    15·2 answers
  • The number of TikToks Celia can make varies directly with the number of hours she spends making them. She can make 8 TikToks in
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!