All categories

2 years ago

What is an equation of the line that passes through the point (2,−6) and is parallel to the line x−2y=8?

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

6 0

Answer:

y = x/2 - 7

Step-by-step explanation:

First, we need to find the slope of the given equation: x - 2y = 8

Subtract x from both sides

x - 2y = 8

- x - x

-2y = 8 - x

Divide both sides by -2

-2y/-2 = (8 - x)/-2

y = -4 + x/2

The slope of this equation is 1/2

So the equation of our parallel equation is y = x/2 + b

We have to find b, so plug in the given coordinates

-6 = 2/2 + b

-6 = 1 + b

Subtract 1 from both sides

-6 = 1 + b

- 1 - 1

b = -7

Plug it back into the original equation

y = x/2 - 7

You might be interested in

2. a. The center for research in data science has a vacancy of 5 interns under a research attachment program. However, 20 studen

Yuliya22 [10]

Answer: 15504

Step-by-step explanation:

Given : The center for research in data science has a vacancy of 5 interns under a research attachment program.

Number of students applied = 20

The combination of n people taking r at a time is given by :-

$C(n,r)=\dfrac{n!}{r!(n-r)!}$

Since, all students fulfill the minimum CGPA criteria it means all 20 students are equally eligible.

Then , the number of ways to select a team of 5 interns from all 20 interns :-

$C(20,5)=\dfrac{20!}{5!(20-5)!}\\\\=\dfrac{20\times19\times18\times17\times16\times15!}{5!15!}\\\\=15504$

Hence, the number of ways to select a team of 5 interns. =

7 0

3 years ago

Please help! Will give brainliest to correct answer

saveliy_v [14]

Answer:

Correct option is (C).

Step-by-step explanation:

Because in figure,

°.°point B is fixed at plane.

.°.Center is B.

& °.° Image is enlargement.

.°. scale factor will be greater than 1

Now,

scale factor = A'B'/AB

= 24/6

= 3

So correct option is (C).

#$# HOPE YOU UNDERSTAND #$#

#$¥ THANK YOU ¥$#

❤ ☺ ☺ ☺ ☺ ☺ ☺ ❤

5 0

3 years ago

Will someone please answer this and remind me how to solve this

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

Since the two triangles are similar, you can use proportions to solve for the value of $x$

$\frac{x}{12} = \frac{4}{3}$

Now, just multiply 4 and 12.

$4 * 12 = 48$

Then divide that by 3.

$48 / 3 = 16$

Therefore, $x = 16$ .

5 0

3 years ago

Read 2 more answers

Pamela is making pizzas. She has 112 pieces of pepperoni. She uses 29 pieces of pepperoni on the first pizza. If she uses the sa

Svetllana [295]

Answer:

Step-by-step explanation:

Number of pieces of pepperoni available with Pamela = 112

Number of pieces of pepperoni used in one pizza = 29

Now, number of pepperoni left after using 29 in one pizza = 112 - 29 = 83

Now, Pamela makes second pizza, so again 29 pieces of pepperoni area used.

Now, number of pepperoni left after using 29 in one pizza = 83 - 29 = 54

Now, Pamela makes third pizza, so again 29 pieces of pepperoni area used.

Now, number of pepperoni left after using 29 in one pizza = 54 - 29 = 25

To make the third pizza, another 29 pepperoni are required but only 25 are available.

Therefore, there is not enough pepperoni for making 4 more pizza.

7 0

3 years ago

Mario Livio explained that the Fibonacci sequence is present in nature. What are

saveliy_v [14]

Answer:

Some of the examples of biological sequence of he Fibonacci sequence include:

O. petaled flowers like daisies

O. seeds on the head of a sunflower

O. change of seasons

O. bottom of a pine cone

Step-by-step explanation:

5 0

3 years ago