which equation describes the line that passes through the point (-3,-2) and is parallel to the line 6x+5y=6

Answers

Answer 1

Answer:

y = -6/5x - 5.6

Step-by-step explanation:

6x + 5y = 6

-6x          -6x

5y = -6x + 6

/5y    /5y

y = -6/5y + b

-2 = -6/5(-3) + b

-5.6 = b

Answer 2

The equation of line passing through the point (-3,-2) and parallel to line 6x+5y=6 is  6x+5y = -28.

What is equation of line?

Equation of line is a linear equation with a degree of one. The equation of line can be formed with the help of the slope of line and a point on the line.

The general form of the equation of a line  with the slope 'm' and passing through the point

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

(where [tex](x_{1} ,y_{1} )[/tex] is a point through which a  line is passing)

According to the question

We have

A equation of line 6x+5y=6

and, a point (-3,-2)

so, the slope of the line 6x+5y=6

⇒[tex]5y=6x-6[/tex]

⇒ [tex]y=\frac{-6}{5} x +\frac{6}{5}[/tex]  

the  slope of the line 6x+5y=6 is [tex]\frac{-6}{5}[/tex]

Therefore, the equation of line which is parallel to the line 6x+5y=6 and passing through the point (-3, -2) is given by

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

⇒[tex](y-(-2))=\frac{-6}{5} (x-(-3))[/tex]            (slope of the parallel lines are equals)

⇒[tex](y+2)=\frac{-6}{5}(x+3)[/tex]

⇒ [tex]5y+10=-6x-18[/tex]

⇒[tex]5y+6x=-28[/tex]

⇒[tex]5y+6x+28=0[/tex] or [tex]6x+5y=-28[/tex]

Hence, equation of line which is passing through (-3,-2) and parallel to line 6x+5y=6 is 6x+5y=-28.

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Related Questions

1. What type of circle would you use when graphing x≥ 5
A. Open
B. Closed
C. A triangle
D. A square

2.Solve the following inequality x−3>7
A. x>10
B. x<10
C. x>4
D. x<4

Answers

1. Open
2. D
Hope this help you

Answer:

What type of circle would you use when graphing x≥5: I do not know sorry :(

When graphing x≥5 on a number line, you would point your arrow which way?

:To the right

Solve the following inequality

x−3>7: x>10

Step-by-step explanation:

I did the math :)

Judy has 100 pencils stored in boxes. If there are 20 boxes, how many pencils must go in each box?

Answers

Answer:

5 pencils per box

Step-by-step explanation:

Can someone pls help me with this escape room. This is my last question, I just cant figure out the code. Pls help.

Answers

Answer:The code is simple the answer is googl

Step-by-step explanation:

ILL GIVE BRAINLIEST PLEASE HELP ASAP

Answers

Answer:

4.4

Step-by-step explanation:

(-7/10 + 0.15) ÷ (-0.125)

(-70/100 + 15/100) ÷ (-0.125)

-55/100/-0.125

-.55/-0.125

4.4

Debra and Alexandria can finish a plowing job in two hours if they work together. Debra can do the job in 7 hours by herself. How long would it take Alexandria to finish the same job alone?

Answers

Answer:

2 hours 48 minutes

Step-by-step explanation:

Debra=1 plowing job / 7 hours

Debra+Alexandra=1 plowing job / 2 hours

1/2-1/7

=7/14-2/14

=5/14

=1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)

14/5 hour=2 hours 48 minutes (hope hits helps)

Alexandria to finish the same job alone in, 2 hours 48 minutes

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Debra and Alexandria can finish a plowing job in two hours if they work together.

And, Debra can do the job in 7 hours by herself.

Hence, We get;

For Debra = 1 plowing job / 7 hours

Debra + Alexandra = 1 plowing job / 2 hours

Hence, Time to take Alexandria to finish the same job alone is,

= 1/2 - 1/7

= 7/14 - 2/14

= 5/14

= 1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)

= 2 hours 48 minutes

Thus, Alexandria to finish the same job alone in, 2 hours 48 minutes

Learn more about the subtraction visit:

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PLZ HELP 100 POINTS PLU BRAINLIEST FOR CORRECT ANSWERS

Answers

Answer:

d. x

Step-by-step explanation:

x(2x-1)/2x-1

x/1 since 2x-1/2x-1 cancels

x

Evaluate the following if a = 3,b= -2 and c = 1

a3 - 2bc +5ac

Answers

Answer:

28

Step-by-step explanation:

(3)×3 - 2×(-2)×(1) + 5×(3)×(1)

9 - -4 + 15 = 28

Answer:

46

Step-by-step explanation:

Given

a³ - 2bc + 5ac ← substitute values for a, b, c into the expression

= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)

= 27 - (- 4) + 15

= 27 + 4 + 15

= 46

4-7 -
4-7
7
PLEASE HELP

Answers

Answer:

B) 1/4^ 7.

Step-by-step explanation:

You should know this.... basic math

"hypotenuse" of the triangle: if the height is 24 feet and base is 36 feet.

Answers

Answer:

43.27

Step-by-step explanation:

(24×24)+(36×36)= 1872

√1872=43.27

Using the Pythagorean theorem:

Hypotenuse = sqrt( 24^2 + 36^2)

Hypotenuse = sqrt(576 + 1296)

Hypotenuse = sqrt(1872)

Hypotenuse = 2sqtt(469) or 43.266

The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.

Answers

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the  rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

A fast-food restaurant must apply an 8.5% tax on every sale it makes. How much tax must it charge a customer who purchases a total of $18.50 in food?

Answers

Answer: $1.57

Step-by-Step Explanation:

Study.com says: “the formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is: total sale amount = selling price + sales tax,” (study.com, How to Calculate Sales Tax).

So, to find the amount of money they are charging for taxes, we need to use the formula: $18.50 x 8.5%. The selling price is the total sum of the purchase, and the sales tax rate is the percentage number that is apply to every sale as taxes.

Here’s how we solve:

1. To multiply, we first need to change our percentage into a decimal by dividing it by 100. —> 8.5/100 = 0.085

2. Multiply the purchase times the sales tax rate, which is converted into a decimal. —> 18.50 x 0.085 = 1.5725

3. Because money only uses the tenths and the hundredths places, we round up. —> 1.5725 ~ 1.573 ~ 1.57

4. Our answer for the tax amount charged in money is $1.57

Hope this helps!

Elizabeth has a lot of jewelry. She has four times as many earrings as watches and twice as many necklaces as watches.
- If Elizabeth has 42 pieces of jewelry, how many necklaces, earrings, and watches does she have?

Answers

Answer:

6 watches, 12 necklaces, and 24 earrings.

Step-by-step explanation:

turn the number of watches into x

42 = 4x + 2x + x

42 = 7x

x = 6

she has 6 watches, 12 necklaces, and 24 earrings

Help! Thanks if you do! ✨✨

Answers

Answer:

I would say either A or C

Step-by-step explanation:

I think the answer is letter A

The radius of a regular hexagon is 8 cm.
Find the apothem, perimeter and area
of the regular hexagon.

Answers

the measure of the side = of the measure of radius because the regular hexagon have 6 sides = at each others

meaning the measure the perimeter is = 6 times the radius

and the radius = 8cm

so perimeter = 6× 8 cm

perimeter = 48cm

since the apothem is the segment perpendicular to a side thought the center and those segment are not promotional we have the notation as

r square root of 3 divided by 2

r = radius = 8 cm

by apply the formula

8square root 3 divided by 2

so the area will be

since the perimeter is 48cm

and the apothem is 8 square root of 3 divided 2

so the area will be 48 times 8 square root of 3 divided by 2 = 384 square of 3 divided by 2 .

hope that helps.

Find the constant of proportionality.

Use the constant of proportionality to write a unit rate for the data in the table.

Write an equation to represent the relationship between time, t, and distance, d. i will give brainliest if u help

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

constant of proportion = [tex]\frac{d}{t}[/tex] ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant = [tex]\frac{225}{5}[/tex] = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Answer:

(a)

constant of proportion =  ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant =  = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

I need the answer to question 3 please help me

Answers

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Supplementary Angles add up to 180.

Angle C and Angle D add up to 180.

[tex]128 + 2x = 180[/tex]

[tex]2x = 52[/tex]

[tex]x = 26[/tex]

Please please help help please please ASAP

Answers

Answer:

false

Step-by-step explanation:

The horizontal axis is the x axis.

I don't really know what your school wants in the blank but here's what I think it is:

The horizontal axis on the coordinate grid is the x axis.

Hope this helps! let me know if its right!

PLSS HELPP

Find the trigonometric ratio as a fraction Tan N =
Find the trigonometric ratio as a fraction Tan L =

Answers

I think the answer for #1 is 3/4 and for #2 is 3/5.

Answer:

Tan N = 4 / 3

Tan L = 3 / 4

Step-by-step explanation:

By Pythagoras theorem,

(LN)² = (MN)² + (LM)²

10² = 6² + (LM)²

100 = 36 + (LM)²

(LM)² = 100 - 36

(LM)² = 64

LM = 8

Tan N

= Opposite / Adjacent

= LM / MN

= 8 / 6

= 4 / 3

Tan L

= 1 / Tan N

= 1 / ( 4 / 3 )

= 3 / 4

11. The ratio of men to women at a track meet is 4:5. If there are 20 men at the meet, use a proportion to determine how many people are at the meet.​

Answers

Answer:

There are 36 people at the meet

Step-by-step explanation:

if the ratio is 4 men to 5 women it means that every time there are 4 men there will be 5 women so its 4/5

and since we know there are 20 men the equation becomes:

4/5 = x/20

so to make 4/5 have 20 as a denominator we multiply by 4/4.

4/5*4/4 = 16/20

So, now we know there are 16 women.

And 16+20 = 36

(-5x^6+7x+1)-(8x^2+x-10)

Algebra 1 subtracting polynomials please help

Answers

Answer:

-5x^6-8x^2+6x+11

Step-by-step explanation:

(-5x^6+7x+1)-(8x^2+x-10)

Remove parentheses

-5x^6+7x+1-(8x^2+x-10)

-(8x^2+x-10)=-8x^2-x+10

-5x^6+7x+1-8x^2-x+10

Simplify

-5x^6-8x^2+6x+11

Plz help me with this question

Answers

Answer:

.24

Step-by-step explanation:

One pack of marbles cost $0.24

How many seconds will it take for the penny to hit the ground?

Answers

Answer:

1 second

Step-by-step explanation:

[tex]-16t^2+16=0\\-16t^2=-16\\t^2=1\\t=1[/tex]

Joaquin was putting numbers on a number line. Which number is NOT placed correctly on the number line?

A.27/2
B.42
c.18 ¾
D.21.1

PLS I NEED HELP​

Answers

Answer:

C

Step-by-step explanation:

Find the length of the hypotenuse of the right triangle.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 34

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: C=34

Step-by-step explanation:

[tex]16^{2} +30^{2} =C^{2} \\\sqrt{C^{2} }+ C[/tex]

Can someone please help meee?

Answers

Answer:

c.

Step-by-step explanation:

Sally's age is 2 plus 3 times John's age. Together, Sally and John's age equals 30. How old is Sally?

Answers

Answer:

Sally is 23 years old.

Step-by-step explanation:

John's age is completely unknown, so it is known as x

Meanwhile, Sally's age can be represented as 3x+2

The sum of both ages is 30.

So, x+3x+2=30

Combine like terms.

4x+2=30

Subtract 2 from both sides.

4x=28

Divide both sides by 4.

x=7

John is 7 years old.

Sally's age: 3(7)+2=23

Sally is 23 years old.

Will mark brainliest- please help! find x

Answers

................................. x is something idl

Answer:

15

Step-by-step explanation:

Assuming x is the length DB

Δ DSR and Δ DBC are similar, so ratios of corresponding sides are equal, that is

[tex]\frac{DB}{DS}[/tex] = [tex]\frac{DC}{DR}[/tex] , substitute values

[tex]\frac{DB}{10}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

8 DB = 120 ( divide both sides by 8 )

DB = 15

That is x = DB = 15

Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5). On a coordinate plane, an exponential function decreases from quadrant 3 to quadrant 4 and approaches y = 0 in quadrant 3. It crosses the y-axis at (0, negative 2) and goes through (1, negative 5). On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first quadrant. It goes through the y-axis at (0, 2) and goes through (negative 1, 5). On a coordinate plane, an exponential function increases from quadrant 3 to quadrant 4 and approaches y = 0. It goes through (negative 1, negative 5) and crosses the y-axis at (0, negative 2).

Answers

The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).

The function f(x) is given as:

[tex]f(x) = 2(0.4)^x[/tex]

The rule of reflection over the y-axis is:

[tex](x,y) \to (-x,y)[/tex]

This means that:

[tex]g(x) =f(-x)[/tex]

Substitute -x for x in f(x)

[tex]f(-x) = 2(0.4)^{-x}[/tex]

Substitute the expression for f(-x) in the above equation [tex]g(x) =f(-x)[/tex]

[tex]g(x) = 2(0.4)^{-x}[/tex]

Hence, the graph of g(x) is graph (a)

Read more about function transformation at:

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One of the legs of a right triangle measures 7 cm and the other leg measures 3 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

about 7.6

Step-by-step explanation:

I got the measure of the hypotenuse to be about 7.6 because I did the Pythagorean theorem.

a^2+b^2=c^2

The value of a is the first leg (7cm), and the value of b is the second leg (3cm).

So, 7^2+3^2=58. Next, I found the square root of 58. The square root of 58 is 7.615773106. This value rounded to the nearest tenth is 7.6.

In conclusion, the measure of the hypotenuse rounded to the nearest tenth is about 7.6.

HELP ASAP!!? HELP ME PLEASE!! 10 POINTS

Answers

Answer:

D)  3x²y

Step-by-step explanation:

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