Write the equation of the line parallel to the line 3x + 5y = 7 and passes through the point (-1, 3) in standard form. Please help

Answers

Answer 1

Answer:

         3x + 5y = 12  

Step-by-step explanation:

3x + 5y = 7         {subtract 3x from both sides}

5y = -3x + 7        {divide both sides by 5}

y = -³/₅x + ⁷/₅        ←  slope-intercept form

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = -³/₅x + ⁷/₅     ⇒   m₁ = -³/₅    ⇒    m₂ = -³/₅

(-1, 3)  ⇒  x₁ = -1,  y₁ = 3

The point-slope form:

y - 3 = -³/₅(x - (-1))

y - 3 = -³/₅(x + 1)           {myltiply both sides by 5}

5y - 15 = -3x - 3           {add 3x to both sides}

3x + 5y - 15 = - 3        {add 15 to both sides}

3x + 5y = 12


Related Questions

In City​ A, the temperature rises 4(degrees)F from 8 A.M. To 9 A.M. Then the temperature drops 7F from 9 A.M. To 10 A.M. In City​ B, the temperature drops 6F from 8 A.M. To 9 A.M. Then the temperature drops 2F from 9 A.M. To 10 A.M. Write an expression that represents the change in temperature from 8 A.M. To 10 A.M. For each city. Simplify and interpret each sum. Use pencil and paper. Which city has the greater change in​ temperature?

Answers

Answer:

City A:

[tex]A - 3[/tex]

City B:

[tex]B - 8[/tex]

City B has a greater change in temperature.

Step-by-step explanation:

City A:

Let the initial temperature of city A at 8 AM = [tex]A\ ^\circ F[/tex]

Temperature change from 8 AM to 9 AM: 4[tex]^\circ F[/tex] rise

Temperature at 9 AM = [tex](A+4)\ ^\circ F[/tex]

Temperature change from 9 AM to 10 AM: 7[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](A+4 -7 )\ ^\circ F = (A-3)\ ^\circ F[/tex]

Total change in temperature = [tex](A - 3) - A = 3\ ^\circ F[/tex] drop

City B:

Let the initial temperature of city B at 8 AM = [tex]B\ ^\circ F[/tex]

Temperature change from 8 AM to 9 AM: 6[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](B-6)\ ^\circ F[/tex]

Temperature change from 9 AM to 10 AM: 2[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](B-6 -2 )\ ^\circ F = (B-8)\ ^\circ F[/tex]

Total change in temperature = [tex](B - 8) -B = 8\ ^\circ F[/tex] drop

Therefore, the answer is:

City B has a greater change in temperature.

Given A(-2,8) and B(4,14), what is the y-intercept of the line AB?
A:-2
B:1
C:10
D:14

Answers

Answer: C:10

Step-by-step explanation:

Equation of a line passes through (a,b) and (c,d) :

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Equation of line passes through A(-2,8) and B(4,14) will be :

[tex]y-8=\dfrac{14-8}{4-(-2)}(x-(-2))\\\\\Rightarrow\ y-8= \dfrac{6}{6}(x+2)[/tex]

[tex]\Rightarrow\ y-8=x+2\\\\\Rightarrow\ y= x+2+8\\\\\Rightarrow\ y=x+10[/tex]

For y-intercept , put x= 0 , we get y= 10

So, the y-intercept = 10

Thus , correct option = C:10

PLEASE HELP WITH THIS MATH PROBLEM! :(

Answers

Answer:

angle A is 75:the four corners are 90 degrees so 75+15 is 90 and is looks like A is the same.

angle C is 55:180-125=55

Angle D is 90-15 so think its 75?

Step-by-step explanation:

im probably wrong but maybe not?

What is 25% of 140?
O 14
O 30
0 35
O 40​

Answers

Answer:

35

Step-by-step explanation:

do 140 times .25 to get 35

Answer:

25% of 140 is 35

Step-by-step explanation:

Hope this helps!

Phil has 50 nickels and dimes worth $4.15. Write a system of equations that could be used to determine the number of nickels and dimes that Phil has.​

Answers

Answer:

~~~~~~~~

Step-by-step explanation:

X + Y = 50. Subtract the first equation (X + Y = 50) from this one: Y = 33. Thus Phil has 33 dimes, and 17 nickels.

What is the value for x?
Enter your answer in the box.

Answers

Answer:

5

Step-by-step explanation:

Remember, the sum of all the angles in a triangle equals 180 degrees.

Moreover, looking at the diagram, we can see sides BA and BC are identical. This means this triangle is an isosceles triangle. Remember, all isosceles triangles will also have two identical angles. In this case, angles A and C are identical (meaning A and C are both 73 degrees).

So, if A is 73 degrees, C is 73 degrees, and we know that all the angles must sum to 180 degrees (so A + B + C = 180), then we can construct the following equation to solve for x:

[tex]73+73+6x+4=180\\150+6x=180\\6x=180-150\\6x=30\\x=\frac{30}{6}\\x=5[/tex]

Find the x and y values? I'm not really sure how to get y but I can seem to get the x value.

Answers

Y is the same as the X value.

They are vertical angles which are congruent.

Because the lines are parallel, the 71 degree angle and the (5x-26) angle when added together need to equal 180 degrees.

SO you have 71 + 5x -26 = 180

Simplify:

5x + 45 = 180

Subtract 45 from both sides:

5x = 135

Divide both sides by 5:

x = 135 / 5

x = 27

Now you have x solve what that angle equals:

5x - 26 = 5(27) - 26 = 135 - 26 = 109 degrees

The angle Y and the angle 5x-26 are vertical angles, which mean they are the same,

so now we know 5x-26 = 109 degrees, so Y also equals 109 degrees.

The answers are:

x = 27

y = 109

7th grade math help me please :)

Answers

Answer: 33

Step-by-step explanation:

a + b/c = 24 + 36/4 = 24 + 9 = 33

Answer:

33

Step-by-step explanation:

33 is the answer because when you have 24 + 36/4, 36 / 4 = 9, so the equation would become 24 + 9, and that's how you get 33

can someone one please explain this to me and what to do it say combing like trems ​

Answers

Answer:

A. 5x+y+3

Step-by-step explanation:

to combine like terms you get the numbers that have the same variable. you will combine 2x and 3x and to combine them you add them 2x+3x and it equals 5x. you will do the same for the numbers left... -2y and 3y = 1y or y and 3 is left so we dont do nothing and after you do that you will put it in an equation variables go first and you order them in alphabetical order so 5x will go first then y and lastly the 3

you just combine the terms with the same variables
so
2x+3-2y+3x+3y
you would add the like terms

by the way, each one keeps the sign before it and if it doesent have a sign for example at the beginning, its positive
2x+3x= 5x

3 (theres only one without a variable so no need to add)

-2y+3y= 1y aka y
sooo
your answer is 5x+3+y
or 5x+y+3 cuz the order doesnt matter for addition



Jamari has a Rubiks Cube and the volume is 64 inches The length on one side is
(Blank) inches because (blank)

Answers

4 inches because 4 cubed is 64.

-6p - 20 = -2p +4(1 - 3p)

Answers

Answer:

6

2

0

=

2

+

4

(

1

3

)

6

2

0

=

2

+

4

(

3

+

1

)

2

Distribute

6

2

0

=

2

+

4

(

3

+

1

)

6

2

0

=

2

1

2

+

4

3

Combine like terms

6

2

0

=

2

1

2

+

4

6

2

0

=

1

4

+

4

4

Add

2

0

20

20

to both sides of the equation

6

2

0

=

1

4

+

4

6

2

0

+

2

0

=

1

4

+

4

+

2

0

5

Simplify

Add the numbers

Add the numbers

6

=

1

4

+

2

4

6

Add

1

4

14p

14p

to both sides of the equation

6

=

1

4

+

2

4

6

+

1

4

=

1

4

+

2

4

+

1

4

7

Simplify

Combine like terms

Combine like terms

8

=

2

4

8

Divide both sides of the equation by the same term

8

=

2

4

8

8

=

2

4

8

9

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

Solution

=3

Step-by-step explanation:

please give me brainliest

omg these 3 questions - giving brainliest!!!!!

Answers

The common factor of the first is 16
For the second it is 65.52
And for the third it is 2.265

Answer:

1=1, 2, 4, 8,

2=65.52

3=2.265

Step-by-step explanation:

what is the sum of 9.72 × 108 and 1.93 × 107
a. 9.913 × 107
b. 9.913 × 108
c. 1.165 × 108
d. 1.165 × 109

Answers

Answer:

9.913 × 108

Step-by-step explanation:

can someone help me please

Answers

13 i thin kaaks si s jd fj nojxiiubscnhubsuind

Answer: 54/4 or 13 2/4

Step-by-step explanation: So first you have to make both fractions into improper fractions. So 15(4)+3=63 over the denominator which is 4. And 2(4)+1=9 over the denominator which is 4. Then subtract the two fractions: 63/4-9/4, and since the two denominators are the same you keep it as 4. So the answer would be 54/4 or if you need it to be a mixed number, 13 2/4.

what is this question?
10x – 8x + 2 + 10=

Answers

Answer:

x=-6

Step-by-step explanation:

So you can write this as 10x-8x+2+10=0

Now you have to solve this equation for x

2x+12=0

2x=-12

x=-6

*internal screaming beginss

Answers

Answer:

The answer is 5 1/4 liters in 1 hour.

Step-by-step explanation:

If Ben drinks 3 1/2 liters of tea in only 2/3 of a hour, this is how you calculate it. First of all, Ben is not a human being, like who can drink 3 and a half liters of tea in under a hour. To calculate how much Ben drinks in a hour, first multiply both fractions by 3, you will get 10 1/2 liters in 2 hours. Then, divide both fractions by 2, in which you will get 5 1/4 liters in 1 hour. That's your answer!

Answer:

21/4

Step-by-step explanation:

Divide the two numbers

3 1/2 =7/2 as a improper fraction

7/2 divided by 2/3

7/2 times 3/2

21/4 or 5 1/4

A furnace operates at 2,300°F. Before it can be used to extract metal from an ore, the temperature must be raised to 3,600°F. This takes place at a rate of 250°F per quarter hour. Write an equation that gives the furnace temperature, T, after, q, quarter hours.

Answers

Answer:

T = 2300 + 250q

Step-by-step explanation:

Given that:

Initial temperature = 2300 F

Extraction temperature = 3600 F

Rate of temperature increase = 250 F per quarter hour, q

Temperature of furnace after q quarter hours ;

(Initial temperature + rate of temperature increase * number of quarter hours )

(2300 + 250 * q)

2300 + 250q

What is the area of the real object that the scale drawing models?
Scale factor: 13
Area =
40 square cm
Scale drawing
Object
A. 24 square cm
B. 120 square cm
C. 360 square cm
D. 40 square cm

Answers

Answer:

C. 360 cm²

Step-by-step explanation:

scale factor: 1:3

area = 3² times

40 x 9 = 360

There are 48 students in Mrs. Mitra's computer class. At present, the ratio of the number of students to the number of computers in her class is 4 : 1. How many MORE computers does she need to buy to make this ratio 3 : 1?

A. 1 B. 3 C.3 D. 6

please give expiation also




 ​

Answers

Answer:

4

Step-by-step explanation:

The computation is shown below:

Given that

There are total number of students i.e. 48

The ratio at present is 4:1

Now the computer needed to make the ratio be 3:1

So let us assume the number of students be 4x

And, the number of computers be x

So the 4x = 48

x = 12

So the computer be 12

Now the new ratio is 3:1

Students be 3x

And, computers be x

So

3x = 48

x = 16

Now the more computer needed is

= 16 - 12

= 4

hence, this is the answer but the same is not provided in the given options

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

The present total number of students = 48

Ratio of the number of students to the number of computers = 4: 1

(Number of students) / (Number of computers) = 4/1

48 /  (Number of computers) =  4/1

Number of computers = 48/4

Number of computers = 12

If the ratio of the number of students to the number of computers = 3:1

48 / (Number of computers) = 3/1

3(Number of computers) = 48

Number of computers = 48/3

Number of computers = 16

Additional number of computers = 16 - 12

Additional number of computers = 4

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

Learn more here: https://brainly.com/question/20516142

the pass mark for an exam is 92%
abbi scored 62 out of 68
does she pass the exam

Answers

Answer:

68/100*92= 62.56

No abbi does not pass exam.

Answer:

Yes that is correct

Step-by-step explanation:

68/1009262.56

I'll give brainliest to the correct answer!!!!


A.) 45.3 m

B.) 17 m

C.) 27.7 m

D.) 34 m

Answers

Answer:

C

Step-by-step explanation:

...........................

Answers

Answer:

3

Step-by-step explanation:

There are 18 girls in a class.
If this is 40% of the class list, how many students are in the class?

Answers

Answer:

45 students

Step-by-step explanation:

40+40=80   40/2=20   80+20=100

18+18=36      18/2=9       36+9=45

horrible explaining but hope it helps :)

Answer:

45

Step-by-step explanation:

18 ÷ 45 = 0.4 = 40%

Sorry for the iready lesson spam but i suck at geometry :

Answers

Answer:

x = 63; y = 27

Step-by-step explanation:

x + 117 = 180

x = 180 - 117

x = 63

x + y = 90

63 + y = 90

y = 90 - 63

y = 27

Bam! UwU

Lol Hope this helps !

That is a question about angles.

There are two informations in that image that we should to note:

The sum of the angles x and y is a right angle. A right angle is a 90° angle. That is to say [tex]x + y = 90[/tex].The sum of the angle x and the 117° angle is a straight angle. A straight angle is an angle that measure 180°. In other words, [tex]x + 117 = 180[/tex].

With these two informations we can solve that question. The first step is solve the second equation, and we will find the x value. Finally, we change the x value in the first equation and we find the y value. Let's solve the equations:

Second equation:

[tex]x + 117 = 180\\x = 180 - 117\\x = 63[/tex]

So, the value of x is 63°. Let's replace the x value in the first equation.

First equation:

[tex]x+y = 90\\63 + y = 90\\y = 90 - 63\\y = 27[/tex]

Thus, the value of y is 27°.

Therefore, the correct option is the option says x = 63°, y = 27°.

I hope I've helped. :D

Enjoy your studies. \o/

Find the slope of the line passing through the points (-3,7) and (2, -6).
Undefined

Answers

Answer:

think its x=3 hope it helps

alyze the following special produ
ve USII
1.
(3x + 5)(2x - 3). Solve using the F.O.I.L.
2.
(x + 2)(x – 13). Solve using the F.O.I.L.
3. (x + 5)2. Solve using the square of Binomial.
1. (x – 3)2 Solve using the square of Binomial.

Answers

Answer:

1) Solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]

2) solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]

3) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]

4) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]

Step-by-step explanation:

1) (3x + 5)(2x - 3). Solve using the F.O.I.L.

F.O.I.L stands for First, Outer Inner Last

We have [tex](3x + 5)(2x - 3)[/tex]

First: 3x(2x)

Outer: 3x(-3)

Inner: 5(2x)

Last: 5(-3)

Solving we get:

[tex](3x + 5)(2x - 3)\\=3x(2x)+3x(-3)+5(2x)+5(-3)\\=6x^2-9x+10x-15\\=6x^2+x-15[/tex]

So, solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]

2) (x + 2)(x – 13). Solve using the F.O.I.L.

F.O.I.L stands for First, Outer Inner Last

We have [tex](x + 2)(x -13)[/tex]

First: x(x)

Outer: x(-13)

Inner: 2(x)

Last: 2(-13)

Solving we get:

[tex](x + 2)(x - 13)\\=x(x)+x(-13)+2(x)+2(-13)\\=x^2-13x+2x-26\\=x^2-11x-26[/tex]

So, solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]

3) (x + 5)^2. Solve using the square of Binomial.

The square of binomial is: [tex](a+b)^2=a^2+2ab+b^2[/tex]

Solving:

[tex](x+5)^2\\=(x)^2+2(x)(5)+(5)^2\\=x^2+10x+25[/tex]

So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]

4) (x -3)^2. Solve using the square of Binomial.

The square of binomial used is: [tex](a-b)^2=a^2-2ab+b^2[/tex]

Solving:

[tex](x-3)^2\\=(x)^2-2(x)(3)+(3)^2\\=x^2-6x+9[/tex]

So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]

plz help im confused on how this works. If a triangle has side lengths of 7.5 and 4.8, what is the range of lengths for the third side

Answers

Answer:

it is important to keep in mind that the interior of a triangle is 180º. Im not sure if the side your solving for is the longest or shortest one but the teo long side must be great than the third. dind the angles of the triangle that should help.

Step-by-step explanation:

What is the simplified form of 4 radical 3/2x

Answers

Answer:

The correct answer is ^4sqrt24x^3/2x or B on edge.

hope this helps!!:)

Step-by-step explanation:

Anna wants to add compatible numbers to find the following sum. 27.95 + 19.37 + 34.05 + 21.63 Which pairs of numbers are compatible? Choose Yes or No for each pair. 27.95 and 34.05 Choose.. 27.95 and 21.63 Choose... 19.37 and 34.05 Choose... 19.37 and 21.63 Choose...​

Answers

Answer:

27.95 and 34.05 are compatible because when you add up the decimals, the equal 0, which makes it easier to add. 27. 95 + 34.05 = 61.00.

Same with 19.37 and 21.63, it adds up to 40.00

The answer to all of this would be 101.00

An angle measures 10 more than four times a number. It’s supplement is two more than three times the number. What is the measure of each angle in degrees

Answers

Answer:

4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)

7x +12 =180  (combine like terms on left side, and subtract 12 from both sides)

7x = 168 (divide both sides by 7 to isolate x)

x= 24

angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)

..................96 +10

angle 1 = 106 degrees (the measure of the first angle)

angle 2 = 3(24) +2

..................72 +2

angle 2 = 74 (the measure of the second angle)

106 +74 =180 (the two add up to 180, so they're supplementary)

Step-by-step explanation:

I hope this helps :)

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