Write the equation of a line parallel to the line y = 2x that passes through 0,4

Answers

Answer 1

Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.

Answer:

y = 2x + 4

Step-by-step explanation:

To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.

1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.

y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.

2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.

3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).


Related Questions

Pls help, I know the answer but what I wrote in the box isn't correct
How do I show the answer?

Answers

Answer:

AC=11.38 cm

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:

[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]

[tex]AC^2=289+169-442*0.7431[/tex]

[tex]AC^2=129.53[/tex]

[tex]AC=\sqrt{129.53}[/tex]

AC=11.38 cm

Francie lives 1_5 mile from the school. Jake lives 2_10 mile from the school. Do they live the same distance from the school? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

So, we see that both Francie and Jake lives miles from the school. Hence, they both live the same distance from the school.

Hello someone please help me

Answers

Answer:

C = {-5,2,5} answer

Step-by-step explanation:

ccccccc

Find the Surface Area of Rectangular Prism

Answers

Answer:

4 X 3 = 12 , 12 X 2 = 24

5 X 4 = 20, 20 X 2 = 40

3 X 5 = 15, 15 X 2 = 30

30 + 40 + 24 = 94 cm squared

Can anyone explain and give answer please?

Answers

Answer:

slope = - [tex]\frac{1}{19}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 19x + 57 ← is in slope- intercept form

with slope m = 19

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{19}[/tex] ← slope of line w

ASAP
{(-6, 4), (5,-1), (0, 3), (-2,4)}
a. Domain=
b. Range =
c. Function=

Answers

Answer:

domain=-6,5,0,-2

range=4,-1,3,4

Step-by-step explanation:

u gotta ask function to someone else sry

Can somebody answer this?

Answers

Answer:

c. m

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.

Answer:

the slope of the line is m

Step-by-step explanation:

why m?

because as you see in the equation

y=mx+b this means y-b/x = m

as you know slope is ∆y/∆x =m

it is the same as the first one .

2.4, -3.4, -9.2, -15, - 20.8,

If the pattern continues, which expression can be used to find the nth term?

Answers

Answer: c. 8.2-5.8n

Step-by-step explanation:

I got it wrong and it said that c was correct your welcome

An arithmetic sequence is a sequence where the difference between the consecutive term is the same.

The formula for nth terms of an arithmetic sequence.

nth term = a + (n -1)d

The expression that is used to find the nth term of the given arithmetic sequence is

2.4 - 5.8 (n - 1)

What is an arithmetic sequence?

An arithmetic sequence is a sequence where the difference between the consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

The common difference is 2.

We have,

2.4, -3.4, -9.2, -15, - 20.8,

This is an arithmetic sequence.

The common difference.

= -3.4 - 2.4

= -5.8

Now,

The formula for nth terms of an arithmetic sequence.

nth term = a + (n -1)d

So,

a = 2.4

d = -5.8

nth term:

= 2.4 + (n - 1)(-5.8)

= 2.4 - 5.8(n - 1)

Thus,

The expression that is used to find the nth term of the given arithmetic sequence is

2.4 - 5.8 (n - 1)

Learn more about arithmetic sequence here:

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-3(2x-3)+10x=39 what’s the answer

Answers

Decimal form= 7.5 , fraction form = 15/2 , improper fraction= 7 and 1/2

HEEELp PLEASEEEEEEE tank uuuuuuuuuu

Answers

Answer:

they both are because they are not symmetrical??

Step-by-step explanation:

9514 1404 393

Answer:

  both figures are parallelograms

Step-by-step explanation:

The diagonals of a quadrilateral bisect each other if and only if that quadrilateral is a parallelogram. Hence, the left figure is a parallelogram.

The opposite angles of a quadrilateral are congruent if and only if that quadrilateral is a parallelogram. Hence the right figure is a parallelogram.

__

Additional comment

Proofs of these conditions can be offered, but these are the conclusions of the respective proofs. The bisected diagonals form pairs of triangles, provably congruent using SAS. (left figure) The angles total 360°, so any adjacent pair must total 180°, making opposite sides parallel. (right figure)

Which angles in the picture are NOT supplementary?
A.) 2 and 3; 1 and 4
B.) 1 and 3; 2 and 4
C.) 4 and 1; 3 and 4
D.) 1 and 2; 2 and 3

Answers

B.) 1 and 3; 2 and 4 in the picture are not supplementary.

Supplementary angles refers to the type of angles whose sum is 180°. It is not mandatory for the division of angle to be in half. The angles can be 60° and 120°, 130° and 50°, 90° and 90° and so on.

In the figure, we can see two lines intersect each other. Angle 1 and 2 are present on straight line, and hence, their sum will be 180°. Angle 2 and 3 are present on straight line, and hence, their sum will be 180°. Angle 3 and 4 are present on straight line, and hence, their sum will be 180°. Angle 1 and 4 are present on straight line, and hence, their sum will be 180°.

Angle 2 and 3 and angle 1 and 4 are opposite angles, that are not present on same straight line. Therefore, they are not supplementary angles.

Learn more about supplementary angles -

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Need help asap please

Answers

Answer:

Option 3

Step-by-step explanation:

The number on the inside is the dividend and the number on the outside is the divisor. So we just have to place the dividend on the top and the divisor on the bottom.

Sara has already saved $6. She earns $3 per hour. She needs a minimum of $94 to buy her new bike. What is the minimum number of hours she must work?

Answers

Answer:

30

Step-by-step explanation:

3 times 30 = 90 - 2(for the six she already had) so 30

i think

What is the value of x in the equation 24−2x=16?
a 4
b 8
c 12
d 20

Answers

Answer:

x = 4

Step-by-step explanation:

2 x 4 = 8

24 - 8 = 16

Answer:

x=4

Step-by-step explanation:

Plz help me find these functions!

Answers

Answer:

[tex]\sin \alpha = \frac{5}{13}[/tex], [tex]\cos \alpha = \frac{12}{13}[/tex], [tex]\tan \alpha = \frac{5}{12}[/tex], [tex]\cot \alpha = \frac{12}{5}[/tex], [tex]\sec \alpha = \frac{13}{12}[/tex], [tex]\csc \alpha = \frac{13}{5}[/tex]

Step-by-step explanation:

The angle [tex]\alpha[/tex] is the angle opposite to the side of length 5 and adjacent to the side of length 12. From Trigonometry we remember the following relationships:

[tex]\sin \alpha = \frac{5}{\sqrt{5^{2}+12^{2}}}[/tex]

[tex]\sin \alpha = \frac{5}{13}[/tex]

[tex]\cos \alpha = \frac{12}{\sqrt{5^{2}+12^{2}}}[/tex]

[tex]\cos \alpha = \frac{12}{13}[/tex]

[tex]\tan \alpha = \frac{5}{12}[/tex]

[tex]\cot \alpha = \frac{12}{5}[/tex]

[tex]\sec \alpha = \frac{\sqrt{5^{2}+12^{2}}}{12}[/tex]

[tex]\sec \alpha = \frac{13}{12}[/tex]

[tex]\csc \alpha = \frac{\sqrt{5^{2}+12^{2}}}{5}[/tex]

[tex]\csc \alpha = \frac{13}{5}[/tex]

The sale amount is $67.50 and the sales Tax is 5% what is the total amount paid?​

Answers

Answer:

70.88

Step-by-step explanation:

x/67.5=5/100 cross multiply 100x=337.5 divide 100 x=3.375 or 3.38 67.50+3.38=70.88

70.88 is your correct answer

Solve the system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution. x − 2y = 3 y = −2x + 6

Answers

Answer:

yes

Step-by-step explanation:

I used a calculator

Help. I need help with these questions ( see image).
Please show workings.

Answers

9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  [tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the power rule.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

__

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

PLEASE ASAP

What is the equation of the line passes through the point (-6, 6) and is parallel to the y=2/3x-1?

Answers

Answer:

y=2/3 x+10

Evidence:

Picture

Hope it helped!

Help plsssssssss????

Answers

The answer will be 3 and 9
The answer is (5,16)

What is the surface area of a cylinder with a radius of 12 centimeters and a height of 7 centimeters? Use terms of pi.

I’ll give brainliest to whoever answers 1st! :)

Answers

Answer:

1432.57cm²

Step-by-step explanation:

BRIDGE Arturo is designing a bridge for science class using parallel supports for the top and bottom beam. Find m angle2 if m angle1=60^

Answers

Answer:

Believe it or not, it would be 60 degrees.

Step-by-step explanation:

Here, we are working with ALTERNATE INTERIOR ANGLES. Since we know the beam supports for the top and bottom are parallel, 1&2 will be the same angle measurement.

Here is a diagram of an example of alternate interior angles, where m1=m2.

Answer:

Step-by-step explanation:

Benjamin and Amelia Hopkins have been married since 2016. Benjamin is a U.S. Citizen with a valid Social Security number. Amelia is a resident alien with an Individual Taxpayer Identification Number (ITIN). They elect to file Married Filing Jointly. Benjamin worked in 2020 and earned wages of $25,000. Amelia worked part-time and earned wages of $15,000. They have two children: Harper, who is 9 years old, and Evelyn, who is 12 years old. Both children were supported by their parents all year. Harper is a U.S. Citizen and has a valid Social Security number. Evelyn is a resident alien and has an ITIN. Benjamin, Amelia, Harper, and Evelyn lived together in the U.S. All year 7. Which credit(s) can the Hopkins claim on their 2020 tax return. Are the Hopkins eligible to claim the earned income credit?

Answers

Answer:

The answer is "Child tax credit for Harper and No, because Amelia has ITIN."

Step-by-step explanation:

In question 1,  The answer is "Child tax credit for Harpe" each qualified kid for tax years 2018-2025 should have SSN through employment provided before the returned closing date. Harper is a U.S. national and also has a legitimate SSN, and therefore Hopkins may assert Harper's tax credit.  

In question 2, The answer is "No, because Amelia has ITIN" because the IRS problem is an ITIN issue whenever a person has been unable to claim their income tax credit his or she may be not qualified to SSN.

MLM BLM any one who says other why come fight me lol

Answers

Answer:

BLM &MLM yasss!!!!!!!!!!!!!1

Step-by-step explanation:

Y’all know what this is ?

Answers

Answer:

65

Step-by-step explanation:

8(5) + 25 = 65

We plugged in 5 for c since we know its value.

Answer:

65

Step-by-step explanation:

8x5=40 25+40=65

I hope this helps, and have a nice day!

Use equivalent ratios to find the unknown value.
2
The unknown value is

Answers

Answer:

Unknown number = 36

Step-by-step explanation:

Equivalent ratio means,

[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]

If [tex]x_1=2, y_1=9[/tex] and [tex]x_2=8[/tex],

[tex]\frac{2}{9}=\frac{8}{y_2}[/tex]

By cross multiplication,

2 × y₂ = 8 × 9

2y₂ = 72

[tex]\frac{2y_2}{2}=\frac{72}{2}[/tex]

y₂ = 36

Therefore, missing number in the denominator of the fraction will be 36.

I NEED HELP ASAP I’ll give Brainliest ,THANK YOU
Which statement about y = x ^ 2 + 7x - 30 is true?

Answers

D because I just took the test
Is anyone’s Brainly ads not working

Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?

Answers

Answer:

$400

Step-by-step explanation:

140 ÷ 35% = 400

The two angles are
Congruent
Supplementary
Complementary

Because they are
Corresponding
Consecutive interior
Alternate exterior
Alternate interior

Help, I will brainliest u

Answers

Answer:

The two angles are alternate interior angles

Step-by-step explanation:

Here, we want to state the relationship between the two given angles

From the diagram, we can observe that these two angles are;

They are alternate interior angles

Multiple Choice: What method can be used to prove the triangles below are congruent? * Angle Side Angle (ASA) Angle Angle Side (AAS) Option 1 Option 2 Not Congruent Hypotenuse Leg (HL)​

Answers

Answer:

angle side angle

Step-by-step explanation:

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