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
coldgirl [10]
3 years ago
12

Find the equation of the line parallel to -5x+2y=12 and through (10,21)

Mathematics
2 answers:
Ksivusya [100]3 years ago
8 0

y=5/2x-4

Step-by-step explanation:

im pretty sure

tiny-mole [99]3 years ago
8 0

Answer:

y= 2.5x -4

Step-by-step explanation:

1. Rearrange the equation so that it is in the form y = mx + c.

Add 5x to both sides:

-5x + 5x + 2y= 12 + 5x

2y= 5x + 12

Divide both sides by two:

2y/2= 5x/2 + 12/2

y= 2.5x + 6

2. Find the gradient of the line.

The gradient of the line is the coefficient (the number in front of) x.

For this line, it would be 2.5. (y= 2.5x + 6)

3. Start an equation for the parallel line.

Parallel lines have the same gradients.

This means that we know that the equation we are looking for will be:

y= 2.5x + c

4. Substitute in the values of x and y we have been given.

Coordinates come in the form (x, y), which means we know the values of x and y for one point. So, when x= 10, y=21.

We can substitute these into the equation we have started.

21= 2.5 x 10 + c

21= 25 + c

5. Solve for c.

Subtract 25 from both sides of the equation:

21- 25= 25- 25 + c

-4= c

6. Form the final equation.

The equation of the line parallel to -5x+2y=12 that passes through (10, 21) is:

y= 2.5x -4

You might be interested in
4(x+2)-12=3(x-2) solve for x
aalyn [17]

Answer:

x= -2

Step-by-step explanation:

6 0
3 years ago
Danny wants to put a circular fence in his backyard. He measured from the center of his space and got 12 how much fencing does d
Umnica [9.8K]
Answer: 75.4

Steps:
Circumference = 2πr
π = pi
r = radius

2π(12) = 75.39822
3 0
3 years ago
PLEASE HELP ASAP
Nikitich [7]
10 x 10 x 10 = 10^{3}
4 0
3 years ago
Read 2 more answers
If 7.5% of pizza orders in gotham are for hawaiian pizzas, and you know that there are 100 pizza restaurants in gotham, what can
LUCKY_DIMON [66]

Answer: There are approximately 8 restaurants that have hawaiian pizzas on their menus.

Step-by-step explanation:

Total number of pizzas restaurants in Gotham = 100

Percent of pizza orders in Gotham are for hawaiian pizzas = 7.5

Number of Gotham restaurants that have hawaiian pizzas on their menus is given by

7.5\%\text{ of} 100\\\\=\frac{7.5}{100}\times 100\\\\=7.5

So, there are approximately 8 restaurants in Gotham that have hawaiian pizzas on their menus.


6 0
3 years ago
Read 2 more answers
Solve for x.<br> z=(x-7)k
aliya0001 [1]

Answer:

x=\frac{z}{k}+7

Step-by-step explanation:

we have

z=(x-7)k

solve for x

That means ----> isolate the variable x

Divide by k both sides

\frac{z}{k}=x-7

Adds 7 both sides

\frac{z}{k}+7=x

Rewrite

x=\frac{z}{k}+7

5 0
3 years ago
Other questions:
  • Can someone please answer this!
    8·2 answers
  • Y=19x+19b solve for b in the literal equation
    12·1 answer
  • How to find the side length of a square
    14·1 answer
  • PLEASE HELP ASAP!
    15·1 answer
  • Simplify the expression. -3x + 6 + -4x + 2
    11·1 answer
  • Can someone help me please?
    8·1 answer
  • Which of the following is equivalent to the expression below
    10·1 answer
  • Find the are of each figure
    8·1 answer
  • 3(4x + 10) = 12x + 20<br><br><br>How many solutions does this equation have ?​
    7·1 answer
  • Find the equation of a line that goes through the point (1,-1) and is parallel to the line y = -6x + 1
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!