Find the equation of a straight
line passing through the point of
intersection of the lines
y = 2x +3 and x +y = 3 and
parallel to the line y = -5x +7

Answers

Answer 1

Answer:

y = -5x + 3.

Step-by-step explanation:

We can find the point of intersection by solving the system:

y = 2x + 3  ....  1

x + y = 3   ......  2          from this:

y = 3 - x   ....... .3

Equating equations 1 and 3:

2x + 3 = 3 - x

3x = 0

x = 0 so y = 2(0) + 3 = 3.

So the point of intersection is (0, 3).

So the required equation has slope -5 and passes through (0, 3) and,  using the point-slope form of a straight line, we have:

y - 3 = -5(x - 0)

y - 3 = -5x

y = -5x + 3.

Answer 2
Hi yeah I think the first answer is right

Related Questions

There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points and each question left blank scores 0 points. Eric took the quiz and scored 100 points. How many questions did he left blank?.

Answers

Answer:    1  question left blank

He answered 16 questions correctly, and got 3 wrong answers.

==========================================================

Explanation:

Let

x = number of questions that are correct y = number of wrong answers z = number of questions left blank

x,y,z are nonnegative whole numbers.

-------------------

Since there are 20 questions total, this means the first equation to set up is:

x+y+z = 20

Solving for y leads to

x+y+z = 20

y+z = 20-x

y = 20-x-z

We'll use this later.

-------------------

Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.

Let's plug the equation in which we isolated y

7x-4y = 100  

7x-4(20-x-z) = 100

7x-80+4x+4z = 100

7x+4x+4z = 100+80

11x+4z = 180

-------------------

Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.

If x = 0, then,

11x+4z = 180

11(0)+4z = 180

4z = 180

z = 180/4

z = 45

So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.

If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation

So another solution is (x,z) = (4,34)

Note that

11x+4y = 180

11(4) + 4(34) = 180

But like before, z = 34 isn't possible since 20 is the max.

Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.

Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.

Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.

Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.

We can see that:

7x-4y = 7(16)-4(3) = 112-12= 100

meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.

-------------------

To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)

Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.

The sum of Ryann and Lori's ages is 96. Lori's age is
seven times Ryann's age. How old is Ryann?

Answers

Answer:

R = 12

L = 84

Step-by-step explanation:

R + L =96

L = 7R

R = 1R

L = 7R

1 R + 7R = 8R

R = 12

L = 84

hope it helps,

The temperature in Juneau, Alaska at noon was -8 degrees Celsius. By 1 PM, the temperature increased by 10 degrees. Draw a number line to represent the situation and determine the temperature at 1 PM.

Answers

Answer:

2 degrees

Step-by-step explanation:

1) The temperature at 12:00 PM was -8 degrees celsius

2) The temperature at 1:00 PM was 10 degrees higher than at 12:00 PM

3) -8 + 10 = 2

4) The temperature at 1:00 PM was 2 degrees celsius

5) Draw a number line with the labels 12:00 PM and 1:00 PM on either end

6) Label above 12:00 PM -8 degrees celsius, and above 1:00 PM 2 degrees celsius

7) Draw an arrow pointing from 12:00 PM towards 1:00 PM to show that the temperature changes between 12:00 PM and 1:00 PM  

I hope this helps :D

Answer:the answer is -4f

Step-by-step explanation:

The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately 10.9 degrees. If skyscraper B is 1425 feet​ tall, how far apart are the two​ skyscrapers? Assume the bases of the two buildings are at the same elevation.

Answers

Answer:

269.46

Step-by-step explanation:

sin(theta) = opposite / adjacent

adjacent = opposite / sin(theta)

adjacent = 1425*sin(10.9)

adjacent = 269.4610063

A poll of 250 students found they studied an average of 48 minutes each evening with a standard deviation of 8.4 minutes. Using a 90% confidence interval, what is the maximum error of estimate for the time spent studying?

Answers

Answer:

hope this helps

Step-by-step explanation:

WILL GIVE BRAINLIEST *NO LINKS*

Answers

Answer:46%

Step-by-step explanation:

Answer:

23/50 or 46%

Step-by-step explanation:

I just added red and purple out of the total(red+purple/total=11+12/50=23/50)

then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)

the nth term of a sequence is 6 - n work out the first three terms and the 20th term of the sequence.
please help​

Answers

Step-by-step explanation:

a_n=6-n

➜a_1=6-1

➜5

➜,a_2=6-2

➜4

➜a_3=6-3

➜3

➜a_20=6-20

➜-14

m*n= [tex]\sqrt{x} mn-n2, then 5 *3\\[/tex]

Answers

Answer: √x15 - 6
M = 5
N = 3
The x is still present because there is no known equivalent to x.
The 15 is the mm
The minus 6 comes from n2 ( 3 x 2 )

20. Find the area of the shape below.

EI = 18 centimeters
KT 12 centimeters
Round your answer to the nearest centimeter.

Answers

Answer:

Step-by-step explanation:

If a car drove 180 miles in 3 hours and a truck drove 150 miles in 2 hours, what is the speed (in miles per hour) of the faster vehicle?

Answers

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

help what is the quadratic equation because I think I did it wrong

Answers

Answer:

Exact form:

[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]

Step-by-step explanation:

Take the root of both sides and solve.

pleasw helppppp MESAAAHAHAHA​

Answers

Answer:

I think Its D I'm not sure though because when it comes to maths I'm not smart

Answer:

the correct answer is A x<-2

Step-by-step explanation:

2x<1/2x-3

4x<x-6

4x-x<-6

3x<-6

x<-2

Gina can trade empty bottles for money at the grocery store. She returned a few bottles worth $0.10 each and 6 bottles worth $0.05 each . The clerk paid Gina $0.80 for all of the bottles . How many bottles worth $0.10 did Gina return?

Answers

Answer:

5 bottles

Step-by-step explanation:

a total of $0.80 was paid

6 $0.05 bottles were returned= $0.05×6= $0.30

remainder= $0.80-$0.30= $0.50

amount of $0.10 bottles returned= $0.50÷$0.10= 5

Write 56/1000 as a decimal.

Answers

Answer:

0.056

Step-by-step explanation:

Answer:

56/1000 = .056

Step-by-step explanation:

56/100 = .56

56/1000 = .056

56/10000 = .0056

PLEASE HELP FAST 30 POINTS! For Trancescient

Answers

c = 22.3 km

Step-by-step explanation:

You can solve this problem using cosine law:

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) [/tex]

where a and b are the legs of the triangle, c is the unknown length and the angle gamma is the angle opposite length c. We know that

a = 50 km

b= 52.4 km

gamma = 25°

c^2 = (50 km)^2 + (52.4 km)^2 -2(50)(52.4)cos25°

= 496.707 km^2

or

c = 22.3 km

Find the missing value so that the line passing through the 2 points has the given slope.
(-7,-3) and (-1. y); slope: 1

Answers

Answer:

3

Step-by-step explanation:

We know that the slope of a line passing through the points ( x ₁ , y₁) and ( x₂ , y₂ ) is ,

→ Slope ( m ) = ( y₂ - y₁) / ( x₂ - x ₁ )

The points here are (-7,-3) and (-1,y) . Using formula of the slope , we have ,

→ m = -3 - y / -7 - (-1)

→ 1 = -(3+y)/ -7+1

→ 1 = -(3+y) / -6

→ 6 = 3 + y

→ y = 6 - 3

y = 3

Hence the value of y is 3 .

dont just comment for points.

Answers

Answer:

that looks good

Step-by-step explanation:

Hi, here it is!

1 pizza ————5$
X pizzas ——— 90$

X= 90x1/5 =18 pizzas

Problems 1-2, which symbol should be used to make the values true; > or

Answers

Answer:

1. <

2. <

Step-by-step explanation:

Have a good day :)

Which expression represents the following calculation? Add 3.2 to the quotient of 8.4 and 6.

Answers

(8.4 / 6) + 3.2

Hope this helps :)

Which of the following numbers has the most number of significant digits?

A. 1.56
B. 23.07755
C. 500.005
D. 1.005

Answers

B. 23.07755 has 7 significant digits

Answer: B. 23.07755 has 7 significant digits

Step-by-step explanation:

what are 2 reasons why people should wear masks for school report.

Answers

Answer:

-decreases the chance of contracting any type of virus  

-decreases the chance of other people contracting the virus

Step-by-step explanation:

Answer: It keeps people safe, and it keeps you safe as well.

Step-by-step explanation: You're keeping other people safe by wearing a mask,since youre limiting or even entirely preventing particles and germs from reaching other people,and protecting yourself because a mask prevents germs entering your nose and mouth.

Please assist me in the geometry please !!!!

Answers

Answer:

Solution given:

length of cube[a]=6ft

volume of cube =a³=6³=216ft³

again

For cylinder

d=4ft

r=2ft

h=6ft

volume of cylinder=πr²h=π×2²×6=75.4ft³

Now

remaining volume=216-75.4=140.6ft³

is a required answer.

Plz help solve this please and thx u

Answers

2 (an - 1) = 40
2an - 2 =40
2an = 40 - 2
2an = 38
2an/2 = 38/2
an = 19

Find the value of Sin^-1(-√3/2)

Answers

Answer:

The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .

Step-by-step explanation:

If the height of the parallelogram shown is increased by 1 cm and the base is increased by 2 cm, what is the area of the new parallelogram?

A parallelogram with a base of 9 centimeters and a height of 4 centimeters.
28 cm2
39 cm2
55 cm2
60 cm2

My main problem: The base isn't at the top, so therefore I am confused. It should be on top of the shape but it is not. If it was I could figure it out.

Answers

So sorry I messed it up I let you down :(

Answer:

55 cm²

Step-by-step explanation:

In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)

So the top and bottom base are both 9, and the left and right sides are both 5.

So, to solve, we need to use the equation:

(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²

which aniaml traveled at a rate of 1.5 meter per minute

Answers

Answer:

A turtle.

Step-by-step explanation:

a turtle they slow ash

Can someone help me with this it is for mathh.

Answers

Answer: it would be  P=4n

list all the factors of 10

Answers

Answer: factors of 10 are 1, 2, 5, and 10.

Step-by-step explanation: You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.

Answer:

1,2,5,10

Step-by-step explanation:

1 x 10 = 10

2 x 5 = 10

10 x 1 = 10

4. The Monster is a roller coaster that uses a design
similar to the Ravine Flyer II. The Monster reaches
a height of 120 feet, but then drops to -25 feet.
Order the highest and lowest points of the two
roller coasters from least to greatest.

Answers

Answer:

asasasdcvxcvszs

Step-by-step explanation:dsadsdasz

Does anyone know the answer?

Answers

Answer:

D is the right graph

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