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Tcecarenko [31]
3 years ago
14

How would I solve Part B?

Mathematics
1 answer:
alekssr [168]3 years ago
7 0

Answer:

D (-4, -9)

Step-by-step explanation:

midpoint formula:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

plug in C (2,7)

(2 + x₂) / 2 , (7 + y₂ ) / 2 = (-1, -1)

(2 + x₂) / 2 = -1

multiply each side by 2

2 + x₂ = -2

subtract 2 from both sides

x₂ = -4

(7 + y₂) / 2 = -1

multiply each side by 2

7 + y₂ = -2

subtract 7 from both sides

y₂ = -9

D (-4, -9)

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Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (2, -1)
jek_recluse [69]

Answer:

The equation of the line is 2x - 3y = 7 ⇒ answer A

Step-by-step explanation:

* Lets revise the relation between the parallel lines

- If two lines are equal then their slopes are equal

- We can make an equation of a line by using its slope and

 a point on the line

- If the slope of the line is m and passing through the point (x1 , y1),

 then we can use this form [y - y1]/[x - x1] = m to find the equation

* Lets solve the problem

- The line is parallel to the line 2x - 3y = 5

∴ the slope of the line = the slope of the line 2x - 3y = 5

- Rearrange the terms of the equation to be in the form

  y = mx + c to find the slope of it

∵ 2x - 3y = 5 ⇒ subtract 2x from both sides

∴ -3y = 5 - 2x ⇒ divide two sides by -3

∴ y = 5/-3 - 2x/-3 ⇒ y = 2/3 x - 5/3

∴ The slop of the line is 2/3

∵ The line passes through point (2 , -1)

* Lets use the rule to find the equation of the line

∵ y - (-1)/x - 2 = 2/3

∴ y + 1/x - 2 = 2/3 ⇒ by using cross multiplication

∴ 3(y + 1) = 2(x - 2) ⇒ open the brackets

∴ 3y + 3 = 2x - 4 ⇒ put x an d y in one side

∴ 2x - 3y = 3 + 4

∴ 2x - 3y = 7

* The equation of the line is 2x - 3y = 7

8 0
3 years ago
The<br> Calculate the perimeter of<br> Following Shape:<br> 8cm<br> 5cm
mina [271]

Answer:

where is your shape

Step-by-step explanation:

firstly give shape then we find out perimeter

na

7 0
2 years ago
Read 2 more answers
A professional bowler wanted to gather data about the cost of local bowling leagues in the area. After collecting and plotting t
Yuliya22 [10]

The slope in this scenario is 12 and , starting at $30 the cost will increase by $12 per month .

In the question ,

it is given that

the average bowling league has  one time registration fees

and

a monthly fees .

let the number of months the training continues be "x" .

the equation is given as y = 12x + 30

since the one time registration fees is fixed so , it will be 30 .

and the monthly fees varies with the number of months of training , so monthly fees will be 12x  .

On comparing the given equation y = 12x + 30 with slope intercept form of the line y = mx + c  ,
we get ,

slope (m) = 12 .

and starting cost = $30 and the increase in cost by $12 per month .

Therefore , The slope in this scenario is 12 and , starting at $30 the cost will increase by $12 per month , the correct option is (c) .

The given question is incomplete , the complete question is

A professional bowler wanted to gather data about the cost of local bowling leagues in the area. After collecting and plotting the data, it was determined that the average bowling league consists of a one-time registration fee and a monthly fee modeled by the equation y = 12x + 30.

Identify and interpret the slope in this scenario.

(a) The slope is 30. Starting at $12, the cost will increase by $30 per month.

(b) The slope is 30. Starting at $12, the cost will decrease by $30 per month.

(c) The slope is 12. Starting at $30, the cost will increase by $12 per month.

(d) The slope is 12. Starting at $30, the cost will decrease by $12 per month.

Learn more about Slope here

brainly.com/question/24436844

#SPJ1

4 0
1 year ago
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