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3 years ago

What is an equation of the line that passes through the point (2, -6) and is parallel

Mathematics

1 answer:

fomenos3 years ago

5 0

Answer: y=-6

Step-by-step explanation:

First convert the equation -2y= 8 into y intercept form by divide both sides by -2.

-2y = 8

y= -4 Now that the line is in y intercept form we can now determine the slope.The slope is 0 so -4 in this case is the y intercept.

Remember lines that a parallel needs to have the same slope but different y-intercepts.

So if the slope of the line y=-4 is 0 then the slope of line that passes through the point (2,-6)

So using the y intercept form formula which says that y=mx+b where m is the slope and b is the y-intercept, we could plot in the values for y and x and solve for b to write the equation.

y is -6 and x is 2

-6 = 0(2) + b

-6 = 0 + b

b= -6

In this case the y intercept is -6 so since the slope is zero we will have the equation y = -6

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A radio is being discounted 40%. If the sale price of the radio is $31.02, what was the original price of the radio?

kobusy [5.1K]

Answer:

$51.70 is the original price

Step-by-step explanation:

Step 1:

Turn 40% into a decimal which makes it 0.40

ex. 50% would be 0.50, 5% would be 0.05 etc.

Step 2:

Put the numbers into this formula: Original Price (x) - Percent Off times Original Price = Sales Price

x - 0.40x = 31.02 this is basically 1x - 0.40x = 31.02 so,

Solving the left side of our equation gives us 1x - 0.40x = 0.60x

so now you have: 0.60x = 31.02

Step 3:

Divide both sides by 0.60 which gets x by itself and gives us the original price which is $51.70

8 0

3 years ago

That's the question ??

Oksanka [162]

Step-by-step explanation:

Before we answer, the area of a Circle given it radius is

$a = \pi r {}^{2}$

The area of a circle given it diameter is

$a = \pi( \frac{d}{2} ) {}^{2}$

So let answers question 1-4.

1. The area is

$1024\pi$

2. The area is

$576\pi$

$1.225\pi$

$309.76\pi$

For the 5th problem, circumference is

$\pi \times d$

where d is the diameter and

$2\pi r$

where r is the radius.

A circumference of 100 m means the radius is 50 because

$2\pi \times r = 100\pi$

$r = 50$

So this means the area is

$2500 {\pi}$

3 0

3 years ago

If there is 2/3 of a bag of jelly beans and danny ate 1/4 of the bag last night what fraction of the bag is left

ICE Princess25 [194]

2/3 = 8/12
1/4 = 4/12

You start with 8/12 and eat 4/12 so 4/12 (or one quarter) remains.

3 0

4 years ago

Read 2 more answers

Alan needs to read 4 novels each month Let N be the number of novels Alan needs to read in M months. Write an equation relating

MaRussiya [10]

Answer:

T=N*M and he needs to read 44 books.

Step-by-step explanation:

Note: Let T represent the total amount of books that Alan needs to read in 11 months.

If we plug in the information we have been given we will find the total:

T=N*M

T=4*11

T=44

Alan has to read 44 books within a 11 month period.

Please consider giving a thanks, a good rating, and Brainliest. It is always greatly appreciated! Thanks!

6 0

3 years ago

ANHL player's labor negotiating committee is to be selected from 8 player representatives from the Eastern Conference and 7 play

cestrela7 [59]

Answer:

21 / 143

Step-by-step explanation:

Given that:

Number of Eastern conference reps = 8

Number of western conference rep = 7

Probability of selecting 3 from Eastern reps and 2 from western reps

Probability = required outcome / Total possible outcomes

Total possible outcomes:

selection to be made = 3+ 2 = 5

Total Number of players = 8 +7 = 15

Total possible outcomes

Using combination formula :

nCr = n! / (n-r)!r!

15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003

Total possible outcomes = 3003

Required outcome :

8C3 * 7C2

8C3 = 56 ; 7C2 = 21

8C3 * 7C2 = 56 * 21 = 1176

required outcome / Total possible outcomes

= 1176 / 3003

= 21 / 143

6 0

3 years ago