What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

y = One-fifthx + 4
y = One-fifthx + Twelve-fifths
y = –5x + 4
y = –5x + Twelve-fifths

What Is The Equation Of The Line That Is Parallel To The Given Line And Passes Through The Point (2,

Answers

Answer 1

Answer:

y = 1/5x + 12/5

Step-by-step explanation:

First find the slope of the given line

m = ( y2-y1)/(x2-x1)

m =( -3- -4)/(0- -5)

   (-3+4) /(0+5)

    1/5

Parallel lines have the same slope

Using point slope form of a line

y-y1 = m(x-x1)

y - 2 = 1/5(x--2)

y -2 = 1/5(x+2)

Distribute

y-2 = 1/5x +2/5

Add 2 to each side

y-2+2 = 1/5x + 2/5 + 2

y = 1/5x + 2/5 + 10/5

y = 1/5x + 12/5

Answer 2

Answer:

B. y = 1/5x + 12/5


Related Questions

How to divide different bases with same exponents.

Answers

How to Divide Exponents With Different Bases:

Different Bases and Same Exponent. In this case, you can group the two bases into a quotient and apply the exponent. ...


Different Bases and Different Exponents. The expression b^4 / a^2 is equivalent to (b * b * b * b) / (a * a). ...

Order of Operations

You have a coupon for 25% off the price of a mystery book that sells for $7.00. You also have one for 20% off the price of a science fiction book that sells for $6.25. You have $5.00. Which book can you afford to buy? Explain.​

Answers

Answer:  you can afford to buy both

as $1.75+$1.25 adds up to $3 leaving you $2 to spare.

Step-by-step explanation-

Mystery book: 25% of 7.00= 1.75 ($1.75)

Science Fiction: 20% of  6.25=1.25 ($1.25)

Answer:

You can afford the science fiction book.

Step-by-step explanation:

How to get the amount for the 25% coupon:

$7.00 × 0.25 = $1.75

To get the price of the mystery book using the coupon:

$7.00 - $1.75 = $5.25

The mystery book will cost $5.25.

How to get the price of the 20% coupon:

$6.25 × 0.20 = $1.25

To get the price of the science fiction book using the coupon:

$6.25 - 1.25 = $5.00

The science fiction book will cost $5.00.

You can afford to buy the science fiction book because you have $5.00 and that is the price of the book.  The mystery book costs $5.25 and you only have $5, which means that you don't have enough money to buy it.

13 9/10 divided by 3 1/2

Answers

Answer:

[tex]3 \frac{13}{44} [/tex]

Step-by-step explanation:

First let's write our equation

[tex]13 \frac{9}{10} \div 3 \frac{1}{2} [/tex]

Now let's make them improper fractions

[tex] \frac{139}{10} \div \frac{7}{2} [/tex]

Now since we're dividing we with fractions we do the reciprocal and multiply

[tex] \frac{139}{10} \times \frac{2}{7} [/tex]

or

[tex] \frac{139}{5} \times \frac{1}{7} = \frac{139}{42} = 3 \frac{13}{42} [/tex]

Lauren is going to invest in an account paying an interest rate of 3.4% compounded
annually. How much would Lauren need to invest, to the nearest cent, for the value of
the account to reach $13,000 in 8 years?

Answers

Answer:

P = $9948.99

Step-by-step explanation:

Use the compound amount formula A = P(1 + r)^t, with A = $13,000, t = 8 yr and r = 0.034.  Find the principal amount P.

Solving A = P(1 + r)^t for P, we get:

         $13,000           $13,000

P = -------------------- = --------------- = $9948.99

      (1 + 0.034)^8         1.3067

Lauren needs to invest $9948.99 for this purpose.

A scuba diver descends farther down into the ocean from an initial depth of 13.6 feet below sea level. The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level.

What is the maximum rate, r, that the scuba diver may descend?

r ≥ 24.72
r ≤ 24.72
r ≤ 13.84
r ≥13.84​

Answers

The scuba driver descends at a maximum rate of r ≤ -13.84

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.

The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:

2.5r - 13.6 ≤ -48.2

2.5r ≤ - 34.6

r ≤ -13.84

Hence the scuba driver descends at a maximum rate of r ≤ -13.84

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Andrew is counting the total calories in his breakfast. He knows that a bowl of his favorite cereal with milk has 200 calories. He also likes to drink a fruit smoothie with his cereal. Each ounce of the smoothie adds 25 calories. Which graph represents the total calories, y, in Andrew's breakfast if he drinks x ounces of fruit smoothie with his cereal?

Answers

y = 25x + 200

Brainly needs me to add more words so these are just filler words

Answer:

See Graph below

Step-by-step explanation:

I hope this helps anyone who needs it :)

Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning.

Answers

The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

Let x represent the number of Pi Day T-shirts sold.

They are selling Pi Day T-shirts for $7.50 each, So to raise $500:

7.5x > 500

Dividing through by 7.5:

7.5x / 7.5 > 500 / 7.5

x > 66.7

Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

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En la siguiente figura, determinar el valor de x.
2x
х 3x

Answers

Step-by-step explanation:

we know,

sum of all angles on a straight line is 180°.

so according to it,

x + 2x + 3x = 180

6x = 180

x = 180/6 = 30

x = 30°

therefore, value of x is 30°.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

See below, please.

Step-by-step explanation:

x+2x+3x=180

So, 6x=180

x=30

1) -x2
-Х2
I need help with this problem

Answers

if you typed in -x2-x2 it would be -x4

Brett made oat bars for his school's bake sale. For his first batch, Brett mixed 1 cup of caramel chips and 4 cups of oats. To make sure he had enough, he made a second batch, and mixed 2 cups of caramel chips and 8 cups of oats. Which batch of oat bars was more caramelly?

Answers

Answer:

They would be equally caramelly, the ratio of oats:caramel is equal

Step-by-step explanation:



Which describes how to move from (2, 3) to (6,4) on a coordinate grid?


Answers

Step-by-step explanation:

x = +4

y = +1

it uses a rigid transition formation

Consider the hypotenuse of a right triangle with two legs that are two inches and one inch long, respectively. The length of the hypotenuse, in inches, is between which pair of the following fractions?
a 9/4 10/4
b 17/8 18/8
c 14/4 15/4
d ¼ ⅓
e ¾ 5/4

Answers

Answer:

b

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths of a right-angled triangle :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".

so, we have here

c² = 1² + 2² = 1 + 4 = 5

c = sqrt(5) = 2.236067977...

so, answer option c is too big (values bigger than 3).

answer options d and e are too small (values smaller than 2).

a

9/4 = 2.25

10/4 = 2.5

this is also too big .

that leaves us with b

17/8 = 2.125

18/8 = 9/4 = 2.25

that is correct

(3^-2 × 4^-2)^-3 = 12^x
In the given expression find the value of x.​

Answers

Given that (3^-2×4^-2)^-3 = 12^x

⇛ [(3×4)^-2]^-3 = 12^x

Since a^m × b^m = (ab)^m

⇛(12^-2)^-3 = 12^x

⇛ 12^(-2×-3) = 12^x

Since (a^m)^n = a^mn

⇛ 12^6= 12^x

⇛6 = x

Since the bases are equal then exponents must be equal

Therefore,x = 6

Additional comment:-

If the bases are equal then exponents must be equal.

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Can my grade go up to an A within 3 weeks if i just do class work?

Answers

Answer:

da_mn the struggle is real

Step-by-step explanation:

Which expression is equivalent to 3^4 times 3^-9

Answers

Answer:   3^4 · 3^-9 = 3^4 · 1/3^9

Step-by-step explanation:

what is the x intercept

Answers

Answer:

The answer is B

What is the answer to number 4 ?

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither​

Answers

Answer:

perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

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

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y =  8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Since the slopes are not equal the lines are not parallel

- 4 × [tex]\frac{1}{4}[/tex] = - 1

Then the lines are perpendicular

write the equation of the line passing through the origin of the coordinate system and is parallel to the line x-2y+3=0​

Answers

Answer:

x - 2y = 0

Step-by-step explanation:

The two lines have the same slope because they are parallel, and their equations have the same form as x-2y+3=0​, with only the constant (3) being different.  Solving this equation for y to find the slope, we get:

x + 3 = 2y, or y = (1/2)x + 3/2.  The line passing through (0, 0) with the same slope must then be y = (1/2)x; this line represents a proportional relationship because y is a constant multiple of x with the constant of proportionality 1/2.  This result may be rewritten as 2y = x or x - 2y = 0.

The members of a book club spend the same amount of money for refreshments at each meeting. At one meeting they bought 6 bagels and spent $9.00 on beverages. At the next meeting they bought 8 bagels and spent $8.20 on beverages. What was the cost of each bagel?

Answers

The members of a book club spend $0.4 for each Bagel as refreshment.

Let x represent the cost of each bagel.

At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:

Cost = 6x + 9

At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:

Cost = 8x + 8.20

Since the same money is spent on each meeting, hence:

6x + 9 = 8x + 8.2

2x = 0.8

x = $0.4

Therefore the cost of each bagel is $0.4

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Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)​

Answers

Answer: 35.113

Hope this helps!

Can you solve for x plz?

Answers

Answer:

x=25

Step-by-step explanation:

4x+50=150

4x=100

x=25

Determine if the table represents a linear function, quadratic function, or exponential function.

Answers

Answer:

quadratic

Step-by-step explanation:

Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it

Answers

Answer:

She could out 20 necklaces and 20 bracelets on display and she would make $600.

Step-by-step explanation:

$18 necklaces x 20= $360

$12 bracelets x 20 = $240

totalling $600

PLEASE ANSWER 20 POINTS

Answers

Answer:

the pic wont load for me

Step-by-step explanation:

I need help pls I'll give brainliest!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\sqrt{32}[/tex]

Step-by-step explanation:

4^2+ 4^2=c

16+16=32

[tex]\sqrt{32}[/tex]

=5.65685424949

For the equation y = -x +5, find y when x = -3

Answers

Answer:

y= 8

Step-by-step explanation:

y= -x +5

To find the value of y when x= -3, substitute -3 into x and solve the equation.

When x= -3,

y= -(-3) +5

y= 3 +5

y= 8

Corinne made apple jam and strawberry jam. She made enough apple jam to
fill 1 jars. If she made 3 times as much strawberry jam as apple jam, how
many jars will the strawberry jam fill?

Answers

Answer:

3

Step-by-step explanation:

   1                 ×3              =3

apple jam      times          strawberry

Which is the graph of the equation y+2=−12(x−4)?

Answers

Answer:

Step-by-step explanation:

y+2 = -12(x-4)

y=-12x+48-2

y = -12x+46

Draw a graph with the points (1,34) and (3,10)

When you divide fraction how do you find quotient.

Answers

Answer:

To divide two fractions, you must make one fraction the reciprocal. Then, multiply both numerators and both denominators.

EXAMPLE:

3/4 x 4/5

Take reciprocal for 4/5

3/4 x 5/4

Multiply numerators

3x5=15

Multiply denominators

4x4=16

ANSWER:

15/16

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