write an equation in slope intercept form of the line that passes through (-1 5) and is parallel to the graph of 2y+4x= -8

Answers

Answer 1

Answer:

Therefore, equation of the line that passes through (-1,5) and is parallel to the line

[tex]2y+4x=-8[/tex]  

is

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

Step-by-step explanation:

Given:

[tex]2y+4x=-8[/tex]        .Equation of line

can be written as

[tex]y=-2x-8[/tex]     ...which is in Slope intercept form

To Find:

Equation of line passing through ( -1, 5) and is parallel to the line 2y+4x=-8

Solution:

[tex]y=-2x-8[/tex] ...........Given

Comparing with,  

[tex]y=mx+c[/tex]    ....general form in slope intercept

Where m =slope  

We get

[tex]Slope = m = -2[/tex]

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (-1 , 5) will also have the slope = m = -2.

Now the equation of line in slope point form given by

[tex](y-y_{1})=m(x-x_{1})[/tex]

Substituting the points and so we will get the required equation of the line,

[tex](y-5)=-2(x-(-1))=-2(x+1)\\\\y-5=-2x-2\\y=-2x+3......Equation\ of\ line[/tex]

Therefore, equation of the line that passes through (-1,5) and is parallel to the line

[tex]2y+4x=-8[/tex]  

is

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


Related Questions

19.4mm what the lower bound correct to 1dp

Answers

Answer:

The lower bound of 19.4 is 19.35

Pre-image point N(6,-3) was dilated to point N'(2, -1). What was the scale factor used?

Answers

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Consider the ratio of the x and y- coordinates, image to original, that is

scale factor = [tex]\frac{2}{6}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]

The perimeter of a park is 0.251 meters the actual perimeter of the park is 1,000 times as large what is the actual perimeter of the park

Answers

The actual perimeter of the park is 251 meters

Solution:

Given that, perimeter of a park is 0.251 meters

The actual perimeter of the park is 1,000 times as large

To find: Actual perimeter of park

From given,

Actual perimeter of park = 1,000 times as large as perimeter of park

Here, "times" means multiplication

Actual perimeter of park = 1000 x perimeter of a park

Actual perimeter of park = 1000 x 0.251

Actual perimeter of park = 251

Thus the actual perimeter of the park is 251 meters

If an asset declines in value from $5,000 to $4,100 over 9 years, what is the mean annual growth rate in the asset’s value over these 9 years? Enter your answer as a percentage. If needed, round your answer to 2 digit decimals.

Answers

Answer:

2.4 %

Step-by-step explanation:

annual growth is the changes in the value of asset

STEP 1: annual growth rate

= (current value - old value)/old value

= (4100 - 5000)/ 4100

= -0.2195 // 21.95%

Step 2: Mean of x

mean of x= average of x

          = total of x / count of x ( x here is the annual growth rate)

       = annual growth rate / no of years

        =  -0.2195/ 9

       = -0.02 // 2.4 %

         

81) The figure below is a trapezoid.

What appears to be true about this trapezoid's sides?

A) LM || NO
B) NO = LM
C) MN I NO
D) LO || MN

Answers

Answer:

A) LM || NO

Step-by-step explanation:

In a trapezoid one pair of opposite sides is always parallel.

Here, in the given figure, LM is parallel to NO

A) LM || NO is the correct answer.

A) LM || NO is the right answer :ppp

Round 86 to the nearest 10

Answers

Answer:

90

Step-by-step explanation:

"The answer is 90.

To round 86 to the nearest ten, one must look at the digit in the ones place, which is 6 in this case. Since 6 is greater than or equal to 5, the number in the tens place is increased by one. The digit in the tens place is 8, so when it is increased by one, it becomes 9. Therefore, 86 rounded to the nearest ten is 90."

Tell if the slope is positive, negative, zero, or no slope.

Answers

Answer:

I think the slope is zero

Answer:

The slope is 0.

Step-by-step explanation:

If the slope line is straight with the x-axis, its 0.

If the slope isnt going straight on x nor y-axis, it had a slope of anything greater or less than 0, but not 0.

Terry shared an apartment with three other people. Each person paid an equal share of the rent. Together they paid $1495.00 per month. How much did Terry pay per month?​

Answers

Answer:$493.33

Step-by-step explanation:

$373.75  Terry paid per month.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that Terry shared an apartment with three other people. .

The total number of people is 4.

Each person paid an equal share of the rent. Together they paid $1495.00 per month.

We have to find the Terry pay per month.

To find this we have to divide $1495.00/4

$373.75

Hence, $373.75  Terry paid per month.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ5

STATE -The Martins bought a condominium for $145,000. Assuming
that the value of the condo will appreciate at most 5% a year, how much
will the condo be worth in 5 years?

Answers

The future value of a condominium bought for $145,000 with a 5% annual appreciation over 5 years is calculated using the compound interest formula, resulting in a value of approximately $185,061.

The question is asking us to calculate the future value of an investment in real estate, specifically a condominium that was bought for $145,000 with an annual appreciation rate of 5% over a span of 5 years. To find the value of the condo in 5 years, we use the formula for compound interest, which is:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A is the amount of money accumulated after n years, including interest.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of times that interest is compounded per year.

t is the time the money is invested for in years.

Since the appreciation is compounded annually, n is 1. So, we can simplify the formula to:

[tex]A = P(1 + r)^t[/tex]

Substituting the given values:

[tex]A = $145,000(1 + 0.05)^5[/tex]

Now, let's calculate the future value:

[tex]A = $145,000(1.05)^5[/tex]

A = $145,000(1.2762825)

A ≈ $185,061

The condominium will be worth approximately $185,061 in 5 years.

Ise the terms 4, 12a, 6, 2a, and 24 to make equivalent expressions

Answers

Answer:

12a + 24 = 6(2a + 4) is the equivalent expressions

Step-by-step explanation:

Given the terms ; 4, 12a, 6, 2a, and 24

There are two terms with unknown = 12a and 2a

but 12a = 2a x 6 .........(1)

from the last term = 24 = 6 x 4 ...........(2)

add both equation 1 and 2 = 12a + 24

12a + 24 = 6(2a + 4) is the equivalent expressions .

to VERIFY; Use a = 2

substitute into the expression ; LHS = RHS

= 12(2) + 24 = 24 + 24 = 48 (LHS)

FOR RHS = 6(2a+4) = 6(2x2 + 4)

= 6(4+4) = 48

Hence LHS = RHS

720 = N + 315 + 240 what is it

Answers

Answer:

Note: N is represented by n instead.

Step-by-step explanation:

[tex]720 = n + 315 + 240[/tex]

Add the numbers

[tex]720 = n + 555[/tex]

Move the variable to the left-hand side and change its sign

[tex] - n + 720 = 555[/tex]

Collect like terms

[tex] - n = 555 - 720[/tex]

Calculate the difference

-N= - 165

N= 165

Hope this helps

SOMEONE PLEASE HELP ME PLEASE

Answers

Answer

23. 180

24. congruent

25. transversal line

Solve the equation 3x - 13y = 2 for x.

Answers

Hey there!

To solve for x, you must isolate the x term. To do so, first add 13y to both sides so you can leave 3x isolated on one side:

3x - 13y + 13y= 2 + 13y

3x= 2 +13y

Now, divide both sides by 3 to isolate the x variable and get your final answer:

(3x)/3 = (2 + 13y)/3

x = [tex]\frac{2 + 13y}{3}[/tex]

The equation could also be written as  x= [tex]\frac{2}{3}+\frac{13y}{3}[/tex] if you choose to separate the 2 and 13y.

I hope this helps!

Answer:

[tex]x = \frac{2 + 13y}{3} \\ [/tex]

Step-by-step explanation:

[tex]3x - 13y = 2 \\ 3x = 2 + 13y \\ \frac{3x}{3} = \frac{2 + 13y}{3} \\ x = \frac{2 + 13y}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Caitlin is at the grocery store, and she’s trying to finthe unit price on a 6-pack of drinks on sale for $2.99.
Her younger brother says that at that
would cost just over $1.00. Is he correct, and how do
you know? If he were incorrect, how would Caitlin’s
brother find the correct price?

Answers

Well, first off, any ameteur who read the question once would know he is INCORRECT, this is because you can easily see he's dividing it by 3 not 6 like you should be, so 2.99 divided by 6 is 0.498333 ( continuing ) so since this must be rounded to the nearest hundredth, so, 50 cents per bottle.

So question 1: No, because he divided with the incorrect numbers.

Question 2:( I actually don't understand this question, cause we just established he was wrong ) so since I don't understand this one, imma say no, or meh.

CORRECT unit rate: 50 cents per bottle.

Hope this helps, if not, comment below please!!!!

Eighteen less than the quotient of twelve and a number

Answers

Eighteen less than the quotient of twelve and a number is written as:

[tex]\frac{12}{x} - 18[/tex]

Solution:

Given statement is:

Eighteen less than the quotient of twelve and a number

We have to translate the given sentence into algebraic expression

Let "x" be the number

Therefore,

Eighteen less than the quotient of twelve and "x"

Quotient means result of division

Therefore,

[tex]\frac{12}{x} - 18[/tex]

Which means, 18 less than quotient of 12 and x

Thus the given sentence is translated into algebraic expression

The phrase 'eighteen less than the quotient of twelve and a number' is mathematically expressed as 12/n - 18, where n represents the unknown number.

The expression 'eighteen less than the quotient of twelve and a number' translates to a mathematical operation. First, we find the quotient of twelve and a number, which is the result of dividing twelve by that number (let's call it n). Then, we subtract eighteen from that quotient. The algebraic representation of this expression is 12/n - 18.

It's important to follow mathematical rules and order of operations correctly when performing such calculations, similarly to how the rules of arithmetic must be applied correctly regardless of the context, as is described in the example of counting goats or students. Mathematics provides various methods to arrive at the correct answer, and in this case, simplifying the operation is straightforward. It is a demonstration of understanding the correct usage of mathematical operations as well as number fluency.

Need the answer urgently
Shade the amount of pie given in the mixed number. There may be more pies than you need.

Answers

the answer is c. 3 3/5
For a all your doing is shading 2 full circles and 1/2 circle and for b your shading 1 full circle and 3/4 of a circle.

please help me...... I need help​

Answers

First, let us find out how many miles the hikers travel per day.

They walk at a rate of two mph for eight hours each day which means that they travel 16 miles per day (8x2).

Because the total distance of the great wall is 3948 miles to find out the amount of time needed...

3948/16 = 246.75 days (which is greater than 3 months)

answer: They can't cover the entire distance in three months.

no, they cannot

because they go at basically a rate of 16 mi a day, and in a three month period there are 90 days give or take, they end up traveling only 1440 miles which is only a third or so of the full distance of the wall.

What percent of the 2019 world population lives in Canada? Round the percentage to three decimal places.

Population in Millions
World: 7,691
Canada: 37.4

Answers

0.486 % of world population lives in canada

Solution:

From given,

World population = 7691 million

Canada population = 37.4 million

We have to find the percent of world population lives in canada

Let "x" be the percent of world population lives in canada

Therefore, from question,

x % of world population = canada population

x % of 7691 = 37.4

Solve the above equation for "x"

[tex]x \% \times 7691 = 37.4\\\\\frac{x}{100} \times 7691 = 37.4\\\\7691x = 3740\\\\Divide\ both\ sides\ by\ 7691\\\\x = \frac{3740}{7691}\\\\x = 0.486[/tex]

Thus 0.486 % of world population lives in canada

1. If I have a car that cost 30,000 and every year it loses value at 20% a year, then what would the value of
the car be after 5 years?
Growth
rate

Answers

Answer:

$9,830.40

Step-by-step explanation:

1st year--$30,000.00 x .20=$6,000.00= $30,000.00 - $6,000.00 =$24,000.00

2nd year--$24,000.00 x .20=$4 800.00=$24,000.00 -$4,800.00=$19 200.00

3rd year---$19,200.00 x .20 =$3,840.00= $19,200.00 - $3,840.00 = $15,360.00

4th year---$15,360.00 x .20=$3,072.00=$15,360.00 - $3,072.00=$12,288.00

5th year $12,288.00 x .20=$2,457.60=$12,288.00 - $2,457.60 =$9,830.40

A rectangular table has a border of same-sized square tiles. The rectangle has 10 tiles along the length and 6 tiles along the width for a total of 28 total tiles. Notice that 10 + 10 + 6 + 6 ≠ 28. If the rectangular table has L tiles along the length and W tiles along the width, which of the following expressions represents the total number of tiles in the border?

l. 2l + 2w
II. 2l + 2w + 4
III. 2l + 2w - 4
IV. 2(1-2) + 2(w-2)+4

A. I only B. II and IV only C. III only D. III and IV only

Answers

Answer:

IV. 2(1-2) + 2(w-2)+4

Step-by-step explanation:

III. 2l + 2w - 4

The length of CD is 12 units C’D’ is the image of CD under a dilation with a scale factor of n.Which of these are true?

Answers

Answer: FIrst option, Fourth option and Fifth option.

Step-by-step explanation:

First it is important to know the definition of "Dilation".

A Dilation is defined as a transformation in which the Image (which is the figure obtained after the transformation) and the Pre-Image (this is the original figure, before the transformations) have the same shape, but their sizes are different.

If the length of CD is dilated with a scale factor of "n" and it is centered at the origin, the length C'D' will be:

[tex]C'D'=nCD=(n)(12\ units)[/tex]

Therefore, knowing this, you can determine that:

1. If [tex]n=\frac{3}{2}[/tex] , you get:

[tex]C'D'=(\frac{3}{2})(12\ units)=18\ units[/tex]

2. If [tex]n=4[/tex], then the length of C'D' is:

[tex]C'D'=(4)(12\ units)=48\ units[/tex]

3. If [tex]n=8[/tex], then:

[tex]C'D'=(8)(12\ units)=96\ units[/tex]

4. If [tex]n=2[/tex], then, you get that the lenght of C'D' is:

[tex]C'D'=(2)(12\ units)=24\ units[/tex]

5. If [tex]n=\frac{3}{4}[/tex], the length of C'D' is the following:

[tex]C'D'=(\frac{3}{4})(12\ units)=9\ units[/tex]

Showton Middle School has 840 students. Teresa surveys a random sample of 60 students and finds that 8 of them have more than 3 siblings, How many students at the school are likely to have more than 3 siblings?

Answers

Based on a sample of 60 students, where 8 have more than 3 siblings, approximately 112 students out of 840 at Showton Middle School are estimated to have more than 3 siblings.

If there are 840 students at the school, we can use this sample to estimate the total number of students likely to have more than 3 siblings across the entire school population. This is a problem related to proportions within a population.

To make this estimation, we need to set up a proportion based on the sample data:

Sample proportion of students with more than 3 siblings: 8 out of 60, or 8/60.Total number of students in the school: 840.

Now we can set up a proportion:

(number of students with >3 siblings) / 840 = 8 / 60

We solve for the unknown number of students with more than 3 siblings by cross-multiplying:

(number of students with >3 siblings) * 60 = 8 * 840

(number of students with >3 siblings) = (8 * 840) / 60

(number of students with >3 siblings) = 112

Therefore, based on Teresa's sample, approximately 112 students at Showton Middle School are likely to have more than 3 siblings.

Need help please. Thanks so much.

Answers

Answer:

[tex](-1,\frac{17}{6})[/tex]

[tex](3,\frac{3}{2})[/tex]

[tex](-5,\frac{25}{6})[/tex]

Step-by-step explanation:

The given equation is [tex]2x+6y=15[/tex]

We substitute the ordered pairs to see which ones satisfies the equation.

For (-1,-8), we put x=-1 and y=-8 to get:

[tex]2(-1)+6(-8)=^?15[/tex]

[tex]-2+-48=^?15\\-50=^?15[/tex]

This is not true.

For [tex](-1,\frac{17}{6}))[/tex] we put x=-1 and [tex]y=\frac{17}{6}[/tex] to get

[tex]2(-1)+6*\frac{17}{6})=15\\ -2+17=15\\15=15[/tex]

This is true

For (3,3/2) we have 2(3)+6(3/2)=15

This implies 6+9=15

15=15

This is also True

For (-5,25/6), we have 2(-5)+6(25/6)=-10+25=15

This is also true.

Suppose that 21 inches of wire costs 63 cents. At the same rate, how much (in cents) will 14 inches of wire costs?

Answers

See picture for solution and answer.

Whats the square root of 4?

Answers

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation: The square root of 4 is 2.

4 is a perfect square which means that a whole number which in this case is 2 can be multiplied by itself to give us 4.

It's also on our perfect square list which I have attached below.

The lawn is 30 yd long and 16 yd wide how much shorter is your walk if you walk diagonally

Answers

Check the picture below.

The table shows the mean monthly temperatures in Alcudia for the last 2 years in degrees Celsius. °C Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Last Year 9 10 11 14 19 22 27 29 21 18 11 6 2 Years Ago 7 11 10 13 17 23 25 25 20 18 12 9. What was the modal temperature last year?

Answers

Answer:

The modal temperature last year is 11 (March and November)

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

A year ago Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

                     9    10     11   14    19     22  27  29   21    18    11   6

2 years ago Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

                      7     11     10   13    17     23  25  25    20   18  12  9

2. What was the modal temperature last year?

Let's recall the mode of a data set is the number that occurs most frequently in the set. The number that occurs the most in the average temperatures last year is 11 (March and November) and 2 years ago is 25 (July and August)                  

I need help on this please

Answers

Answer:

B. R/3

Step-by-step explanation:

Help ASAP!!! 3/8 of the seventh grade students were taking Advanced math at the beginning of the year, but Seven dropped out by the end of the year. If there were 140 students taking advanced math at the end of the year, how many total seventh grade students are there?

Answers

Answer:

There are 392 students in the seventh grade.

Step-by-step explanation:

Let us assume that there are x number of students in the seventh grade.

Now, 3/8 of the seventh grade students were taking Advanced math at the beginning of the year, but seven dropped out by the end of the year.

So, after the end of the year there were [tex](\frac{3}{8}x - 7)[/tex] number of students taking advanced math.

So, as per given condition, [tex](\frac{3}{8}x - 7) = 140[/tex]

⇒ [tex]\frac{3}{8}x = 147[/tex]

x = 392

Therefore, there are 392 students in the seventh grade. (Answer)

What is the value of the expression (2)^6?

Answers

The value of the expression (2)^6 is 64.
The correct answer is 64
Other Questions
The price of an mp3 player is $149.99. The mp3 player was on sale for 20% off. Matt bought the mp3 player at the sale price and also had a rebate of $50. How much did Matt pay for the mp3 player? In the U.S., the history of ethical regulations in human subjects research began with the ________. Nuremberg Code Declaration of Helsinki Belmont Report Common Rule Square root of -4 simplified by using the imaginary number i Sarah's house caught on fire. Through the prompt assistance of her neighbor Odessa, the fire was quickly extinguished. In gratitude, Sarah promised to pay Odessa $1,000. Can Odessa enforce this promise? At standard temperature and pressure (0 CC and 1.00 atmatm ), 1.00 molmol of an ideal gas occupies a volume of 22.4 LL. What volume would the same amount of gas occupy at the same pressure and 25 CC ? Which statement best summarizes the theme developed by this passage a raisin in the sun According to the Declaration, why was it necessary for the colonists to declare independence? If a circle has a diameter of 18cm, how long is the circumference? What is the translation shown in the following graph?(x + 3, y - 4)(x - 3, y + 4)(x + 4, y - 3)(x - 4, y + 3) Where can you place CSS statements in an HTML file?You can place CSS statements within thesection. What is a control? Select one: a. Actions taken by an individual to exploit a vulnerability and gain root access to a machine b. A weakness that can potentially be exploited by a hacker c. A weakness that has already been exploited by a hacker d. Any countermeasure that prevents a vulnerability from being exploited Cast it down in agriculture, mechanics, in commerce, in domestic service, and in the professions. And in this connection it is well to bear in mind that whatever other sins the South may be called to bear, when it comes to business, pure and simple, it is in the South that the Negro is given a man's chance in the commercial world, and in nothing is this Exposition more eloquent than in emphasizing this chance. Our greatest danger is that in the great leap from slavery to freedom we may overlook the fact that the masses of us are to live by the productions of our hands, and fail to keep in mind that we shall prosper in proportion as we learn to dignify and glorify common labour, and put brains and skill into the common occupations of life; shall prosper in proportion as we learn to draw the line between the superficial and the substantial, the ornamental gewgaws of life and the useful. No race can prosper till it learns that there is as much dignity in tilling a field as in writing a poem. It is at the bottom of life we must begin, and not at the top. Nor should we permit our grievances to overshadow our opportunities.--The Atlanta Compromise Speech, 1895.Which scenario would Booker T. Washington have supported MOST?A)a young African-American male training to become a mechanicB)programs to provide welfare for African-Americans in the SouthC)a young African-American male applying to college to study literatureD)a young African-American male moving to Europe to escape racism and segregation Meat, fish, eggs, beans, and soy products can be included in thea) vegetable groupb) fruit groupc) meat groupd)dairy group What kind of stem cells can develop into any kind of cells in the human body orthe placenta?A. Pluripotent stem cellsB. Totipotent stem cellsC. Multipotent stem cellsD. Unipotent stem cells 5) A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base of the speaker is 11 square inches. What is the volume of the speaker in cubic inches? Technician A says a change in circuit resistance will change the amount of current in the circuit. Technician B says a change in circuit voltage will change the amount of current in the circuit. Who is right? This law states that plants and animals evolve in a consistentsequence The episode of "Mythbusters" cited in the textbook demonstrated that dark adaptation was the reason why __________. a. poker players wear sunglasses. b. pirates wore eyepatches. c. cardinals have good night vision. d. giants have poor night vision. A sample of uranium ore contains 6.73 mg of 238U and 3.22 mg of 206Pb. Assuming all of the lead arose from the decay of the uranium and that the half-life of 238U is 4.51 x 109years, determine the age of the ore Given: a b and 1 3Prove: e fHorizontal and parallel lines e and f are intersected by parallel lines a and b. At the intersection of lines a and e, the bottom left angle is angle 1. At the intersection of lines b and e, the uppercase right angle is angle 2. At the intersection of lines f and b, the bottom left angle is angle 3 and the bottom right angle is angle 4.We know that angle 1 is congruent to angle 3 and that line a is parallel to line b because they are given. We see that __________ by the alternate exterior angles theorem. Therefore, angle 2 is congruent to angle 3 by the transitive property. So, we can conclude that lines e and f are parallel by the converse alternate exterior angles theorem.Which information is missing in the paragraph proof?2 41 22 31 4