What is an equation of the line that passes through the point (8, 2) and is parallel to
the line x + 4y = 28?

Answers

Answer 1

Answer:

x+4y is not change because it's parallel what changes is the result 8 + 4 × 2 = 16 so the equation is x + 4y = 16

Answer 2

An equation of the line that passes through the point (8, 2) and is parallel to the line x + 4y = 28 is;

⇒ x + 4y = 16

What is Equation of line?

The equation of line with slope 'm' and y - intercept at point 'b' is given as;

⇒ y = mx + b

Given that;

The point is = (8 , 2)

The line is x + 4y = 28

Since, Slope of line to its parallel line is same.

Hence, We find the slope of given equation of line as;

x + 4y = 28

After solving for y;

y = -1/4 x + 7

Compare with y = mx + b we get;

Slope (m) = -1/4

Thus, Equation of the line that passes through the point (8, 2) and is parallel to the line x + 4y = 28 is;

y - 2 = -1/4 (x - 8)

4(y - 2) = - (x - 8)

4y - 8 = -x + 8

x + 4y = 16

So, An equation of the line that passes through the point (8, 2) and is parallel to the line x + 4y = 28 is;

⇒ x + 4y = 16

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Related Questions

Abby earned a total of $20 for 2 hours of yard work. After doing a total of 5 hours of yard work, how much money will Abby have earned? Assume the relationship is directly proportional.

Answers

Answer:

50$ I think

Step-by-step explanation:

$50, because each hour Abby is receiving $10. That’s why she earned $20 in 2 hours.

Jupiter travels around the sun at a speed of about 13 kilometers per second. Convert
this speed to kilometers per minute.
Type your answer below. Give your numerical answer only (no units). If necessary, round
your answer to the nearest whole number,

help

Answers

Answer:

Step-by-step explanation:

780

i need help!! please help me!

Answers

Answer:

first table, the answer is -1

f(x)=x always rmmbr that so f(3)=-1 bcoz of the value 3 which represents the Term.

in second table, the values are at a 12 difference.

23-12=11, 11-12=-1,-1-12=-13, so -13-12=-25 and so on

second option is correct.

hope you understood best of luck

Simplify √(25d^2e)- √(d^2e)+2 √(4d^2e)

Answers

Answer:

It would be the second on 8d[tex]\sqrt{e}[/tex]

Step-by-step explanation:

Pull terms out from under the radical, assuming positive real numbers.

I need help on my 3.3.6 Journal: Breakdown Ahead apex.

Answers

Answer:

pg. 1

teresa: use difference of 2 squares

rico: 6561 is not a perfect square

pg. 2

i think teresa is right and that 6561 can be broken down

problem 1: (x^4-81)^2=(x^2-9)^4=(x-3)^8

problem 2: a. false b. rico

pg. 3

problem 3: a. -1(3x+5)^2 b. teresa is right because it cant still be a perfect square trinomial while having a negative first term.

problem 4: a. (y+3)^2 b. teresa

pg. 4

problem 5: a. (x^n+y^n)(x^n-y^n) b. teresa

teresa got more right, rico is buying pizza

Step-by-step explanation:

apex

3.3.6 Journal PDF answers :)

84 + 45 = 3(28 + 15)

No
Yes

Answers

Answer:

yes .......................

Answer: Yes

Step-by-step explanation:

84 + 45 = 129

28 + 15 = 43

43 x 3 = 129

129 = 129

explain something that could not be true about the table below. how do you know ​

Answers

Answer:

On colum x the 5 and 10 dont match the rest of the table

Step-by-step explanation:

On colum x there just adding by 2 until the 5 on colum y your just adding 6

Answer:

The values of y and x

Step-by-step explanation:

The values are not proportional to each other because each value divided (x÷y and the other way around : y÷x)) does not have the same answer.

An object is traveling at a steady speed of 10 1/10 km/h. How long will it take the object to travel 1 9/10 km?

Answers

Answer:

It will take [tex]\frac{19}{101}[/tex] hour.

Step-by-step explanation:

The rule of the distance is:

Distance = speed × time

∵ An object is traveling at a steady speed of [tex]10\frac{1}{10}[/tex] km/h

∴ The speed =  [tex]10\frac{1}{10}[/tex] km/h

∵ The object will travel [tex]1\frac{9}{10}[/tex] km

∴ The distance =  [tex]1\frac{9}{10}[/tex] km

→ We need to find how long will it take it to travel this distance

→ Substitute the values of distance and speed in the rule above

∵  [tex]1\frac{9}{10}[/tex]  =  [tex]10\frac{1}{10}[/tex] × time

→ To find the time divide both sides by  [tex]10\frac{1}{10}[/tex]

∴ The time =  [tex]1\frac{9}{10}[/tex]   ÷  [tex]10\frac{1}{10}[/tex]

→ Change the mixed numbers to an improper fraction

∵  [tex]1\frac{9}{10}[/tex] = [tex]\frac{(1)(10)+9}{10}=\frac{19}{10}[/tex]

∵   [tex]10\frac{1}{10}=\frac{(10)(10)+1}{10}=\frac{101}{10}[/tex]

∴  The time = [tex]\frac{19}{10}[/tex] ÷ [tex]\frac{101}{10}[/tex]

- Reverse the fraction after the division sign, then change ÷ to ×

∴ The time =  [tex]\frac{19}{10}[/tex] × [tex]\frac{10}{101}[/tex]

→ 10 up will cancel 10 down

∴ The time =   [tex]\frac{19}{101}[/tex] h

It will take [tex]\frac{19}{101}[/tex] hour.

What are the solutions to f(x) = g(x)?

x = 0 and x = 1


x = -2 and x = 5


x = 0 and x = -3


x = 10 and x = -8

Answers

Answer:

x = 0 and x = 1

Step-by-step explanation:

From the table of values

f(x) = g(x) = 1 when x = 0 , and

f(x) = g(x) = 0.25 when x = 1

The solution to f(x) = g(x) are x = 0 and x = 1

What property justifies the statement below?
(7xy) · 1 = 7xy

A. Associative Property
B. Identity Property
C. Inverse Property
D. Distributive Property

Answers

I think the answer is B
The answer is D distributive property

5 2/3 gave to her 4 friends how much did each one receive

Answers

Answer:

Let's see what to do buddy...

Step-by-step explanation:

If it is 5 + 2/3

_________________________________

Step (1)

First we have to find all she has :

[tex]5 \frac{2}{3} = 5 + \frac{2}{3} = \frac{5 \times 3}{3} + \frac{2}{3} = \\ \frac{15}{3} + \frac{2}{3} = \frac{17}{3} [/tex]

_________________________________

Step (2)

To find how much did each of them receive , we must divided all by the number of her friends which is 4.

So we have :

[tex] \frac{17}{3} \div 4 = \frac{17}{3} \times \frac{1}{4} = \frac{17}{12} \\ [/tex]

So each of her friends receive 17/12 .

_________________________________

_________________________________

_________________________________

If it is 5 × 2/3

_________________________________

Step (1)

Firs we have to find all she has :

[tex]5 \times \frac{2}{3} = \frac{10}{3} \\ [/tex]

_________________________________

Step (2)

To find how much did each of them receive , we must divided all by the number of her friends which is 4.

So we have :

[tex] \frac{10}{3} \div 4 = \frac{10}{3} \times \frac{1}{4} = \frac{10}{12} \\ [/tex]

So each of her friends receive 10/12 .

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

How do you write negative 4 tenths as a fraction?

Answers

Answer:

-4/10

Step-by-step explanation:

If a rope that is 29.7 inches long is cut into equal pieces that are 2.25 inches long, how many pieces of rope can be created? (4 points)

Answers

Answer:

13

Step-by-step explanation:

2.25*13 = 29.25

Answer: 13.2 pieces of rope can be created.

simon bought 3 plants at a nursery for 17.94

Answers

Answer:

53.82

Step-by-step explanation:

Answer:

Good for him

explanation:

53.82

The length of a rectangle is (x-8) units, and its width is(x+11) units. What is an expression for this.

Answers

Answer:

(x²+3x-88) square units

Step-by-step explanation:

Area of a rectangle = Length × Width

Given

length of a rectangle is (x-8)units

Its width is (x+11) units.

Required

Expression for the area of the rectangle

Substituting the given function into the formula.

Area of the rectangle = (x-8)(x+11)

Area of the rectangle = x(x)+11x-8x-88

Area of the rectangle = x²+3x-88

Hence the expression that represents the area of the rectangle is x²+3x-88 units²

is the fraction 11/20 a repeting and termnating decimal?

Answers

Answer:

it is terminating

Step-by-step explanation:

Answer:

11/20 is a terminating decimal.

Step-by-step explanation:

1) Find the denominator of 11/20 in its lowest form.

The greatest common factor (GCF) of 11 and 20 is 1. Convert 11/20 to its simplest form by dividing the numerator and denominator by its GCF: The denominator of 11/20 in its lowest form is 20.

11 ÷ 1  / 20 ÷ 1  = 11 /  20

2) Find the prime factors of the answer in Step 1.

The prime factors of 20 are all the prime numbers that you multiply together to get 20. The prime factors of 20 are:

2 x 2 x 5

3) Determine if 11/20 is terminating.

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2s and/or 5s or no prime factors at all. This is the case here, which means that our answer is as follows:

11/20  = terminating.

Hope this helps.

5. A store owner has 12.58 kg of candy. If she puts the candy
into 9 jars, how much candy will each jar contain?
HELP!!

Answers

Answer:

1.4 kg of candy

Step-by-step explanation:

Divide the amount of candy by the number of jars:

12.58/9

= approx. 1.4

So, each jar will have approximately 1.4 kg of candy

PLEASE HELP ASAP!!!!!!!!!!!!!
Evaluate the expression for b = -7

|b – 6|=




13


-13


1


-1

Answers

Answer: -13

B-6

-7-6

-13

The area of a rectangular playground is 78 square meters. If the length of the playground is 13 meters, what is its width? Type the answer in the box below. The width is meters.​

Answers

The answer is 6 meters

At an important meet, Rosalva won the women’s 100 meters in 13.47 seconds. Rosalba ran at an average rate of _ meters per second .

Answers

Answer:

about 7.42 meters per second

Step-by-step explanation:

speed = distance/time

Rosalba moved at a speed of 7.27 meters per second on average.

What is Speed?

speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.

Given, At an important meet, Rosalva won the women’s 100 meters in 13.47 seconds.

From the general formula of speed:

Speed = distance/time

In our case,

Distance= 100 meters

time = 13.74

Thus,

Speed = 100/ 13.74

Speed in meters per second = 7.27

therefore, Rosalba ran at an average rate of 7.27 meters per second.

Learn more about speed here:

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You start driving from Austin to Houston with a constant speed of 120km/hr (75 mph). After 1.5 hr you stop for 0.5 hr. Then you continue driving with a new constant speed v2 and reach Houston 45 mins later. If the total distance from Austin to Houston is 265km, what is the speed v2?

Answers

Answer:

113.33 km/hr

Step-by-step explanation:

Given that :

From Austin

Drive 1 : Speed of 120km/hr for 1.5 hours

Stop time = 0.5 hour

Drive 2 : speed of v2 for 45 minutes to finally reach Houston

Total distance (Austin to Houston) = 265 km

Total distance : (distance on drive + distance on second drive)

Distance = speed * time

(120 * 1.5) + (v2 * 45/60) = 265

180 + 0.75v2 = 265

0.75v2 = 265 - 180

0.75v2 = 85

v2 = 85 / 0.75

v2 = 113.33km/hr

v2 = 85 / 0.75

v2 =

Convert 6500 ounces to liters. We know There are 1.05 quarts in one liter

Answers

Answer:

192.22775 Liters

Step-by-step explanation:

HURRY PLEASE!! I’ll mark you as brainliest

Evan has agreed to mow his neighbor's lawn each week. His neighbor will pay him $15 each week. Evan will also babysit some hours each week for $10 per hour. Evan needs to make at least $100 per week to save for his own car, but if he makes $200 or more each week his parents will charge him rent. How many hours h should Evan agree to baby-sit each week to avoid paying rent but still be able to save for his car?

Answers

Answer:

200>15+10h

Step-by-step explanation:

200=15+10h

185=10h

18.5=h

As long as Andrew babysits LESS THAN 18.5 hours each week, he will be able to save for a car without having to pay rent.

Can i get brainliest please?

Jeremiah has $7 to spend at the school store. He definitely wants to buy a Sprite for $1.50 and wants to use the rest of his money to buy as many packs of gummy worms as possible. If the gummy worms are on sale for $0.27 each, how many packs can Jeremiah buy?

Answers

Answer:

Step-by-step explanation:

Amount with Jeremiah = $7

Cost of Sprite = $1.50

Amount remaining = Amount with Jeremiah - Cost of Sprite

= $7 - $1.50

= $5.50

Gummy worms cost = $0.27 each

Number of gummy worms he can purchase = $5.50 / $0.27

= 20.37

Jeremiah can buy as many as 20 packs of gummy worms

Question Progress
Homework Progress
25/27 Marks
Stacey has some boxes that are all cubes of the same size.
She uses three of the boxes to make a pile with a height of 51 cm.
She puts two more boxes on top of the pile.
51 cm
Work out the height of the pile of five boxes.

Answers

51cm / 3 X 5 = 85cm
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What is the solution to the linear equation?

2/3x - 1/2 = 1/3 + 5/6x

Answers

Answer:

The solution to the linear equation is x = -5 (negative five just incase you can't see the sign)

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

I will mark Brainliest! I need help with just Part B please because I already got Part A.

Answers

y = 1/4x is the answer.

No need for + b because the graph has a y intercept of (0, 0) and will go through the point (4, 1)

1/4x, person above me is right

Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference

Answers

The distance is always the opposite of the difference. The distance is exactly the difference. The distance is the absolute value of the difference. The distance is not related to difference.

Are 35 and 36 relatively prime?

Answers

Answer:

No, because the don't have common factors.

Step-by-step explanation:

35 factors: 1,5,7,35

36 factors: 1,2,3,4,6,9,12,18

90% of Mr. Mitchell's class made a passing grade last 9-weeks. If 135
students made a passing grade in Mr. Mitchell's class, how many students
does he teach?
HELP MAYBE ?

Answers

Answer:

huh im rly confused

Step-by-step explanation:

Answer:150

Step-by-step explanation:

90/135=100/x. I solved for x and got 150.

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