Find the equation of a line parallel to the line 2x-y-9=0 and passing through the point of intersection of the lines 5x+y+4=0 and 2x+3y=1

Answers

Answer 1

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

1. Using the point of intersections, we use the substitution method to find the coordinates of the line parallel to [tex]2x-y-9=0[/tex]

[tex]5x+y+4=0[/tex]

[tex]y= -4-5x[/tex]

substituting the value of y in [tex]2x+3y=1[/tex]:

[tex]2x +3(-4-5x)=1\\\\2x-12-15x-1=0\\-13x=13x\\x= \frac{13}{-13}= -1[/tex]

substituting x=-1 in y= -4-5x:

[tex]y= 1[/tex] (upon solving, you should get this)

[tex](x,y)= (-1,1)[/tex]

2. Using y=mx+c and making y the subject of the formula 2x-y-9=0 and using the coordinate we found earlier, we will find the equation of the parallel line. (We make y the subject of the formula to find the gradient)

[tex]2x-y-9=0\\2x-9=y\\y= 2x-9[/tex]

[tex]y= mx+c\\[/tex]

-1= 2 x 1 +c

-3=c

y= 2x-3


Related Questions

1/3x 6,000
helppp barely learning these

Answers

Answer:

2000

Step-by-step explanation:

6000 / 3 = 2000

Answer:

2000

Step-by-step explanation:

my answer has to be 20 characters long.

What is the sum of 8 yards and 5 feet?

10 yards
13 yards
21 feet
29 feet

Answers

8 yards = 24 feet
24+5= 29

(GIVING BRAINLIEST AND 12 POINTS) Gabe bought three watermelons for $12. How much would it cost to buy five watermelons?

Answers

Answer:

20 dollars

Step-by-step explanation:

i am smart

Answer:

20$

Step-by-step explanation:

12÷3=4

1 watermelon=4$

5x4= 20$

The manger of a summer camp has 14 baseballs and 23 tennis balls.The manger buys some boxes of baseballs with 12 baseballs to a box and equal number boxes of tennis balls with 16 tennis balls to a box.Write an expression to represent the total number of balls.

Answers

Answer:

12x+16y+37

Step-by-step explanation:

14+23=37, and because we don't know how many boxes are bought, the variables mean that it is undetermined. You can plug any number in, nd it will work.

5
(
1
2
y + 5 ) −
4
5
=
1
2
y − 1 +
1
10
y

Answers

Answer:

question no proper plz give question in right way

write an equation in point slope form for the line through the given point and given slope ( -7 , 9) ; m = 4/5

Answers

y = 4/5x + 73/5 is an equation

(x) = 3х + 7
g(x) 2x + 12

Answers

what are you trying to do with this/solve for?

. What is 6 8ths x 5? Draw a model of your choice to help

Answers

Answer:

3.75 in decimal form.

Step-by-step explanation:

18 is 120% of what number? 21 is what percentage of 30?​

Answers

Answer:

1. 15

2. 70%

Step-by-step explanation:

Twenty students bought tickets for a school party. All of the money received for these 20 tickets was used to purchase beverages. Then, an additional 10 students bought tickets. Rather than use this additional money to buy more refreshments, all 30 students received a $3.00 refund. How many dollars were used to buy beverages?

Answers

Answer:

$87

Step-by-step explanation:

Please help due in 10 minutes

Answers

Answer:

C. 4

Step-by-step explanation:

Let the number be "x".

3(x - 7) = -9

[3(x - 7)]/3 = -9/3

x - 7 = -3

x - 7 + 7 = -3 + 7

x = 4

Hope this helped! <3

!!!!!URGENT!!!!! PLS HELP!!! WILL MARK BRAINLIEST!!




Kelsie sold digital cameras on her website. She bought the cameras for $65 each and included a 60% markup to get the selling price. To the nearest dollar, what was the selling price for one camera? Please show work.

Answers

Answer:

$104

Step-by-step explanation:

Find 60% of 65 then add it to 65:

0.6 * 65 = 39

Now add it to 65:

39 + 65 = 104

Therefore she's selling cameras for $104 each.

Complete the table so a linear function is represented. SHOW ALL WORK!

Answers

Answer:

g

Step-by-step explanation:

how do you get -11.9 from -6.7+(-5.2)

and explain in words how

Answers

If you just type that exact equation into a calculator it gives you the same answer as well

Answer:

You get -11.9 from -6.7+(-5.2) because you are adding 2 negative numbers. Just forget the negative signs are there when your adding negatives. 6.7 + 5.2 = 11.9 and then just add the negative in front and that's how you get your answer -11.9

Hope this helped!

Mackenzie had 2 inches of snow on her lawn. It then began to snow at a rate of 2.5 inches per hour. Which of the variables below is the dependent variable

Answers

Answer: per hour

Step-by-step explanation:

That is dependent. It is by itself

Carol is mixing pink paint. The ratio of red to white paint is 2:1. If carol uses 6 parts red paint. How much white paint does she need?

Answers

Answer:

3 parts

Step-by-step explanation:

This is just ratios. We know that red paint:white paint is equal to 2:1. Therefore we just have to substitute the values in.

Red paint = 6, so

6: White paint (=1)

Meaning that all we have to do is divide 6 by 2 (to find the value of one part), giving us 3 parts.

I need help finding the perimeter

Answers

Answer:

2c

Step-by-step explanation:

you do the math and subtract both answers

is the square root of 2/5 an irrational number?

Answers

Answer: no, it is rational

Answer and Step-by-step explanation:

No, the square root of [tex]\frac{2}{5}[/tex] is NOT IRRATIONAL. That means it IS rational.

Since [tex]\frac{2}{5}[/tex] is a rational, positive number, squaring the number will still make it rational.

The square root of [tex]\frac{2}{5}[/tex] is [tex]\frac{\sqrt{10} }{5} , or///0.632455532[/tex]

#teamtrees #WAP (Water And Plant)

Whats the value of x ?

Answers

I'm not sure but I think is 30

y=(x-2)+1 (convert into slope intercept form)

Answers

Answer:

I believe your answer is y=x-1.

Step-by-step explanation:

I hope this helps you!


3. Match each vocabulary word to the picture.
A Linear pair
B. Vertical Angles
C Angle Bisector
D. Parallel Lines
E Orthocenter
F. Centroid

Answers

Answer:

correct

Step-by-step explanation:

Answer:

p1 = F

p2 = D

p3 = B

p4 = A

p5 = E

p6 = C

Step-by-step explanation:

just took the test and got it right

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Answers

Answer:

I am not sure if i am correct Buttttt

Step-by-step explanation:

25:180

Answer:

I'm pretty sure it's (180, 1.5) (120, 3.5)

Step-by-step explanation:

I don't think that is right but maybe because it's the coordinates for the two points

Determine whether the triangles are similar. or not.
If similar, state how.

A. similar, AA
B. similar, sss
C. Similar, SAS
D. Not similar

Answers

Answer:

A. SIMILAR, AA

Step-by-step explanation:

ABE = DBC

AEB = BCD

Which fraction is equivalent to 4/8

Answers

Answer:

2/4

Step-by-step explanation:

It would be 1/2 there’s also other fractions but one of them is 1/2

Beatriz takes a simple random sample of 350350350 orders from the more than 500050005000 total orders to her store and finds that 12\, percent of the sampled orders were returned. Assuming that it is really 9\%9%9, percent of all orders to her store which were returned, what is the approximate probability that more than 12\, percent of the sampled orders would have been returned

Answers

If Beatriz takes a simple random sample of 350 orders from the more than 5000 total to her store and finds. The probability that more than 12 percent of the sampled orders would have been returned is 0.02.

How to find the probability?

Mean = n * p

Mean = 350 * 0.09

Mean= 31.5

Standard deviation = √ p * (1 - p)/n

Standard deviation = √ 0.09 * 0.91/350

Standard deviation = 0.01529

Using the  normal distribution table

p>0.12

P(p>0.12) =0.02

Therefore the probability that more than 12 percent of the sampled orders would have been returned is 0.02.

Learn more about probability here:https://brainly.com/question/24756209

#SPJ1

what is the value of (f – 9)(144)?

Answers

Use distributive property

144(f-9)

144f- (144•9)

144f-1296

How many acute angles are in a right triangle

Answers

Answer:

there are 2 a cute angles in a triangle

Please need answers 7 please need now

Answers

Answer:

-15

Step-by-step explanation:

as i said if the signs are different the result is negative

There are 200 apples and then your mother takes away 100 how many are there?


VERY HARD FOR ME GUYS

Answers

Answer:

100

Step-by-step explanation:

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hope this helps...

Michael is buying new shirts and pants for school. He bought shirts for $38 each and pants for $38 each. He purchased nine items and spent a total of $222. How many shirts did he buy?

Answers

Answer:

No possible solution

Step-by-step explanation:

Let:

Shirt = x

Pant = y

x + y = 9 - - - - - - - - - (1)

38x + 38y = 222 - - - (2)

From (1):

y = 9 - x

Put y = 9 - x in (2)

38x + 38(9 - x) = 222

38x + 342 - 38x = 222

Based on the Given parameters, we can conclude that the equation does not have a possible solution.

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