Find the equation of the line which is parallel to y = 4x -2 and passes through thepoint (-2,3).​

Answers

Answer 1

Answer:

y = 4x + 11

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 = 4x - 2 ← is in slope- intercept form

with slope m = 4

• Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation

to find c substitute (- 2, 3 ) into the partial equation

3 = - 8 + c ⇒ c = 3 + 8 = 11

y = 4x + 11 ← equation of line


Related Questions

Given the quadratic equation: x^(2)+6=0, find all solutions for x

Answers

Answer:

[tex]x=i\sqrt6[/tex]

[tex]x=-i\sqrt6[/tex]

Step-by-step explanation:

x^2=-6

x=[tex]\sqrt-6[/tex]

PLEASE HELP! 40 POINTS

Answers

Answer:

C

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = z and h = w , then

A = [tex]\frac{1}{2}[/tex] zw

Answer:

C is the correct answer 100 percent sure

Y=24-4x fill in the table using this function rule

X Y
1 ?
4 ?
5 ?
6 ?

Answers

X = 1 4 5 6

Y = 20 8 4 0

Mathematical Functions

From the function: Y = 24 - 4X

If X = 1, then Y = 24 - 4(1) = 20

If X = 4, then Y = 24 - 4(4) = 8

If X = 5, then Y = 24 - 4(5) = 4

If X = 6, then Y = 24 - 4(6) = 0

More on mathematical functions can be found here: https://brainly.com/question/12431044

#SPJ1

Translate the following from words to an algebraic expression or equation, denoting the unknown by n.

15% of the amount by which a number exceeds 10,000

Answers

The translation from words to an algebraic expression, denoting the unknown by n is 0.15(n + 10,000)

Algebraic expression

let

unknown number = n

a number exceeds 10,000

= n + 1000

15% of the amount by which a number exceeds 10,000

= 15%(n + 10000)

= 15/100(n + 10,000)

= 0.15(n + 10,000)

Learn more about algebraic expression:

https://brainly.com/question/4344214

#SPJ1

25. A wheelchair access ramp has an angle of elevation of 16°. If the ramp
reaches to the top of a 22 inch high porch, how long is the ramp?
79.82 in.
76.81 in.
73.82 in.
81.5 in.

Answers

Answer:

C. 76.81

Step-by-step explanation:

We must use one of the trigonometric ratios to find the length, L,  of the ramp.  If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.

Therefore, we must use tan, which is [tex]\frac{opposite}{adjacent}[/tex]:

[tex]tan (16)=\frac{22}{L} \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\[/tex]

[tex]\frac{L*tan(16)}{tan(16)}=\frac{22}{tan(16} \\\\L=79.815=79.82 in.[/tex]

Ethan ran 3/4 miles. Megan ran 7/8 miles. How much further did Megan run? Answer in simplest form.​

Answers

Answer:

2/16 or 0.625

Step-by-step explanation:

Find a common denominator for the two fractions. It will be 16. 3/4=12/16

7/8=14/16 or you can do it in decimal form. 3/4=.25 and 7/8= .875

.875-.25=.0.625

[tex]\large\boxed{\frac{1}{8}\ \text{miles}}[/tex]

We need to subtract Ethan's distance from Megan's. First, we need to have a common denominator in the fractions.

Multiply both the numerator and the denominator in [tex]\frac{3}{4}[/tex] by [tex]2[/tex] to get [tex]\frac{6}{8}[/tex], which is equivalent. Now, both numbers have a denominator of [tex]8[/tex] and can be subtracted.

Now, simply subtract the numerators, leaving the denominator alone.

[tex]\frac{7}{8}-\frac{6}{8}=\frac{7-6}{8}=\boxed{\frac{1}{8}}[/tex]

How many yards are in 3218 meters

Answers

Answer:

3519.248

Step-by-step explanation:

Searched it up ngl

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

Answers

Answer:

???????

Step-by-step explanation:

?????

Consider functions f and g. What is the value of x when (g x f)(x) = 4

Answers

By applying the definition of functions and composition between two functions, we find that (g ° f) (x) = 4 when x is equal to 6. (Correct choice: B)

How to find the result of composition between two functions

Let be f and g functions, there is a composition of f in terms of g when the input of the former is output of the latter. Hence, we have the following relationships:

g(x):

- 2 → 4

f(x):

6 → - 2

By applying the definition of functions and composition between two functions, we find that (g ° f) (x) = 4 when x is equal to 6. (Correct choice: B)

To learn more on composition between functions: https://brainly.com/question/12158468

#SPJ1

Suppose that $7000 is placed in an account that pays 9% interest compounded each year. Assume that no withdrawals are made from the account.

Answers

Answer:

half question

Step-by-step explanation:

I'm sorry sir but I would like you to make sure if you have posted the whole question

thank you

Faruq has a identical markers, b identical pencils, and no other writing utensils in his locker. How many different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed?

Your answer should be an expression, which might involve the variables a and/or b.

Answers

The number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b

How to calculate the different collection of writing utensils?

Since Faruq has a identical markers, b identical pencils, and no other writing utensils in his locker and we require the number of collections or ways he could bring them to school without coming to school empty-handed, we use combination mathematics since order does not matter.

Now, Faruq can either come to school with one marker and one pencil or one pencil or one marker.

So, the combination for one marker and one pencil is n = a × b = ab

The combination for one marker is n' = a

The combination for one pencil is n" = b

So, the total combination is N = n + n' + n"

= ab + a + b

So, the number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b

Learn more about combination here:

https://brainly.com/question/25821700

#SPJ1

Which graph represents the equation x2 = 8y?

Answers

Answer:

The second graph.

Step-by-step explanation:

If you plug the equation into the desmos graphing calculator, you'll get the second graph.

Hope this helped! :)

The town of pratt has a population of about 8,260,000. express this number in scientific notation

Answers

Answer:

8.26 x 10^6

Step-by-step explanation:

Scientific notation mean multiply by 10 power

Which graph shows the solution to this system of linear inequalities? y>2x+3 y<-2x-4

Answers

The graph that shows the solution to the given system of linear inequalities is shown below

Graph of Inequalities

From the question, we are to draw the graph that shows the solution to the given system of linear inequalities

The given system of linear inequalities is

y>2x+3

y<-2x-4

The graph that shows the solution to the given system of linear inequalities is shown below

Learn more on Graphing inequalities here: https://brainly.com/question/11234618

#SPJ1

Question 22 of 25 Which inequality matches the verbal description? Marc is saving up for a computer. He has $250 saved already. To earn more, he works part-time at a job that pays $16 per hour. Let y represent the price of the computer he chooses, and let x represent the number of hours he works. To purchase the computer, he will need to save at least y dollars.
A. y≤ 250+ 16x
B. y≤ 16x-250
C. yz 250-16x
D. yz 250x + 16​

Answers

A) y which is cost of the computer needs to be less than or equal to the amount of money he is able to make. 16x represents how much money he earns per hour (x= # of hours) Marc already has $250, so you would add that to the amount of money he makes working. Therefore, it’s A.

The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. What proportion of crocodiles live between 17.5 and 20.5 years?

Find the z-table here.

0.3147
0.4068
0.5932
0.6853

Picture posted below

Answers

Option B) is correct 0.4068  portion of crocodiles live between 17.5 and 20.5

The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

What is z-table?

Z-table is tabulated data that gives the information of value of  percentage of data.

standard deviation = 2.6 ;  mean (μ)= 18
lives between 17.5 and 20.5

x= (20.5+17.5)/2=19
Z = (X - μ) / σ
z=-(19-18)/2.6
z= 0.38

While compare it with the z table is gives 0.4068.

Thus the required value of Z = 0.4068

learn more about z-table here:
https://brainly.com/question/6096474

#SPJ1

The data in the tables below were collected from first year students at a community college. The variable is “number of credit cards.” Two of the probabilities are missing.

Number of credit cards 0 1 2 3 4 5
Number of students 122 40 28 2 2 6
Based on this data, we can estimate the probability that a randomly selected student has X number of credit cards using relative frequencies to create a probability distribution. Note: There are 200 students.

Number of credit cards 0 1 2 3 4 5
Probability 0.14 0.01 0.01 0.03
Use this information to answer the first two questions below.
What is P(0)? (Hint: Find the relative frequency for this outcome. There are 200 students in the data set.)

Answers

The probability that number of credit cards is 0 is 0.61

What is Probability ?

Probability is the likeliness of an event to happen ,

It has a range from 0 to 1 , where 0 indicates uncertainty while 1 indicates certainty

The data for the college students is given and it has been asked to determine P(0)

The total students are 200

and the students that have no credit card from the data is 122

Therefore

P(0) = 122/200 = 0.61

Therefore the probability that number of credit cards is 0 is 0.61

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

Jason has exactly four wooden toy blocks with digits on them. Two of the blocks have the digit 0, one of the blocks has the digit 1, and one of the blocks has the digit 2. How many distinct positive integers can he form using one or more of the blocks, without using each block more than once?

Answers

The number of positive integers is 24

How to determine the number of positive integers?

The digits of the wooden toys are:

0, 0, 1, 2

Since each block cannot be used more than once, and there are four blocks in total;

The number of positive integers is;

Integers = 4!

Expand

Integers = 4 * 3 * 2 * 1

Evaluate

Integers = 24

Hence, the number of positive integers is 24

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

QUESTION 1 -

If f(x)=2x-2 and g(x)=x²+1, then f(g(-2)) =

A. -12
B. 8
C. -8
D. 4

Urgently need answer. Will give brainliest.

Answers

Answer:

B. 8

Function's:

Given following:

f(x) = 2x - 2 g(x) = x² + 1

To solve for f(g(-2)), substitute x = -2 in function g(x)

⇒ f(g(-2))

⇒ f((-2)² + 1)

⇒ f(5)

Now, substitute x = 5 in function f(x)

⇒ 2(5) - 2

⇒ 8

Use finite differences to determine whether each relationship is linear, quadratic, or
neither.
x y
-5 17
-4 7
-3 1
-2 -1
-1 1

Answers

The function relationship is a quadratic function

How to determine the function type?

The function is given as:

x y

-5 17

-4 7

-3 1

-2 -1

-1 1

Remove the x values:

y: 17     7      1     -1      1

Calculate the difference between the consecutive y values

Difference: 10  6   2   -2

Because the first difference are not equal, it means that the function is not a linear function.

Calculate the difference between the above differences

Difference: 4   4   4

Because the second differences are equal, it means that the function is  a quadratic function.

Hence, the function relationship is a quadratic function

Read more about quadratic function at:

https://brainly.com/question/5975436

#SPJ1

The scale in the drawing is 2 cm : 5 m. Select from the drop down the correct numbers into the boxes to give the length, width, and area of the actual room.

Answers

The length, width, and area will be 25m, 15m, and 375m².

How to calculate the area?

From the information given, the scale in the drawing is 2cm : 5m and the length and width are given as 10cm and 6cm respectively.

Length = 10cm = 10 × 2.5 = 25m

Width = 6cm = 6 × 2.5m = 15m

Area = Length × Width

Area = 25 × 15

Area = 375m²

Therefore, the area is 375m².

Learn more about area on:

brainly.com/question/25292087

#SPJ1

Perform the operation. 3/a^2b + 2/ab^2

Answers

The simplified form of the expression is 3b+2a/(ab)²

Sum of fractions

Fractions are written as a ratio of two integers. Given the expression below;

3/a^2b + 2/ab^2

Find the LCM

3/a^2b + 2/ab^2 = 3b+2a/a²b²

3/a^2b + 2/ab^2 = 3b+2a/(ab)²

Hence the simplified form of the expression is 3b+2a/(ab)²

Learn more on sum of fraction here: https://brainly.com/question/11562149

#SPJ1

Which description best compares the graphs given by the equations:
x - 5y = -5 and -5x - 25y = 25
a. parallel
b. perpendicular
c. intersecting but not perpendicular
d. None of the above.

Answers

x - 5y = -5, -5x - 25y = 25

First, you'll need to get the x variable by itself.

x - 5y = -5
   +5    +5
      x = 0
So x is plotted on the 0.

For the second part of the first equation, you'll be looking for what the y variable represents.

x - 5y = -5
-x           -x
    -5y = -5
      5      5
       y = 1
So y is plotted on the 1 on the vertical line above the 0.

For the first part of the second equation, you'll do the same thing as in the first equation.

-5x - 25y = 25
       +25   +25
         -5x = 50
           5      5
            x = 10
So the x for this equation is plotted on 10 on the horizontal line.

For the second part of the second equation, you will do the same thing as in the first equation.

-5x - 25y = 25
+5               +5
      -25y = 30
       25      25
           y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.

Answer: B) Perpendicular

Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.

Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.

Intersecting means the lines may or may not be of equal length but will touch each other.

help!! find the volume of the cone

Answers

Answer:

hi. 3.14multipled by 12 multipled by 21

Question 23 of 40
Which of the following is the correct definition of an angle?
A. A shape formed by two intersecting rays
B. A shape formed by the intersection of two lines
C. A shape formed by two intersecting lines or rays
D. A shape formed by two intersecting lines from a common point

Answers

D. a shape formed by two intersecting lines from a common point

Re-Write

51/40
as a decimal.

Answers

Answer:

1.275

Step-by-step explanation:

Answer:

51/40

= 1.275 in decimal

hoping help

Select all the correct systems of equations.
Which systems of equations have no solution?
x + 4y = 23
-3x = 12y + 1
2x + 4y = 22
-x = 2y - 11
2x + y = 15
x = 15-2y
2x + y = 17
-4x = 2y-34
3y = 10-x
2x+6y=7
y = 13 - 2x
4x - y = -1

Answers

Answer:

with mark '√'

Step-by-step explanation:

all the details are in the attachment. Note, the black mark means 'much solutions', the blue one means 'one solution'.

By visual inspection, determine the best-fitting regression model for the
scatterplot,

Answers

Answer:

Linear

Step-by-step explanation:

The line is relatively straight.

Please help

Which quadrilaterals are not rhombuses?
Choose each correct answer.

Answers

Answer:1 and 3

Explanation:by definition a rhombus is parallelogram a with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

A square has a perimeter of 24cm. What is the length of each side?

Answers

Quick process:

⇒ Square has  4 sides

⇒ We have been given that the perimeter is 24 centimeters

⇒ Each side is equal in value and each side added up together must equal 24.

⇒ So to finish this out we need to divide the given perimeter which is 2 4 by the amount of side a square has which is 4.

⇒ So 24/4 = 6

Check the answer:

6 + 6  = 12

12 + 12 = 24 √

Perimeter of a square =24cm

Formula=4s

So 4s=24

s=24/4

s=6

Therefore side of the square is 6cm.

Mark me brainliest

Other Questions
Which body region should be avoided during myofascial release techniques? Lumbar spine Thoracic spine Knee Pelvis Given the different combinations of goods and services a consumer can obtain within his or her budget, the ______ can determine the specific combination that will yield the most utility or satisfaction. how is this true?......... How can you expand your resume if you only limited formal work experience seminoma of the testicle generally appears on ultrasound as a(n) _____________ mass. * 5 points Hypoechoic Hyperechoic Anechoic Complex What is the slope of a line perpendicular to 3x + 2y = 7?-2/3-3/23/22/3 The effects that a change in market conditions, usually price, has on the welfare or economic well-being of market participants are Which were reasons for decolonization after World War II check all that apply Review the graph of a piecewise function.On a coordinate plane, a curve goes through closed circle (negative 3, negative 1) and curves up and approaches x = negative 1 in quadrant 1. A line starts at closed circle (negative 1, negative 3) and goes to open circle (1, negative 1). It then goes to open circle (3, negative 1). A horizontal line starts at open circle (3, negative 3) and goes to (5, negative 3). A closed circle is at (3, negative 4).For which value of x is the function continuous? Which of these are common features of African art? Check all that apply.A. Influenced by Greek stylesMB. Three-dimensionalC. Anatomically proportionalD. Highly stylized figuresE. Abstract Which expression is a polynomial?13 give one main reason why early man abandoned stone tools for metals what will you find in different paragraphs of a review People reduce cognitive dissonance by doing which of the following? Group of answer choices pretending there were no alternatives to the decision seeking out the negative aspects of a decision and highlighting them reversing the decision that caused the dissonance developing more favorable attitudes toward specific features of a decision mike solves 56 problems in 1 hour 45 min, how many problems does he solve per hour Please solve this for me, thank you! Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.AngleJ = 90 AngleJ' = 90AngleK = 65 AngleK' = 65AngleL = 25 AngleL' = 25Which statement is true about this transformation?It is a rigid transformation because the pre-image and image have the same corresponding angle measures.It is not a rigid transformation because the corresponding side lengths are not equal.It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90. The midpoint of the line segment from P to P is (-4,1). If P = (-9,5), what is P2? A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angular speed of the wheel, in radians per second? Find in degrees.11B6[?]Round to the nearest hundredth.Enter