What is the slope of a line parallel to the line whose equation is 6x + 9y = 216.
Fully reduce your answer.

Answers

Answer 1

Answer:

Solve the equation so it is in the y=mx+b form.

Step 1. 6x+9y = 216

Step 2. 9y = -6x+216

Step 3. y = -6/9x+24

Step 4. Simplify/Reduce to get y = -2/3x+24

Since it is Parallel then the slope is the same so the slope is -2/3x.

Answer 2

The slope of line parallel to line with equation6x + 9y = 216 is

m = -2/3.

What are Parallel lines?

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given is a line which is parallel to a line whose equation is 6x + 9y = 216.

We know that the general equation of straight line is -

y = mx + c             ... Eq [ 1 ]

where 'm' represents the slope of the line.

The equation of line given -

6x + 9y = 216.

Rearranging it -

9y = - 6x + 216

y = (-6/9)x + (216/9)

y = (-2/3)x + 24              ... Eq [ 2 ]

Comparing Eq[2] with Eq[1], we get -

m = -2/3

Therefore, the slope of the line with equation → 6x + 9y = 216 is -2/3.

Two parallel lines have same slope. Hence, the slope of line parallel to

line with equation → 6x + 9y = 216 is -2/3

Therefore, the slope of line parallel to line with equation

6x + 9y = 216 is -2/3.

To solve more questions on Straight lines, visit the link below-

https://brainly.com/question/17986304

#SPJ2


Related Questions

PLEASE HELP ME ASAP!!

Answers

i believe the rate of change is 11 :)
the rate change is 11:)

Given GK = XZ and GH = XY, which statement must be true? m∠G > m∠X m∠G < m∠X HG = XZ HK = YZ

Answers

Answer: B

m<G<m<x

Step-by-step explanation:

Just did it

Answer:

the second choice is correct B)m∠G < m∠X

Step-by-step explanation: got it right on edge 2020

Mario ran 12 kilometers. One mile is approximately equal to 1.6 kilometers. How many miles did Mario run?

(I'm new, I don't know why it says High School)

Answers

Answer:

19.2

Step-by-step explanation:

12x1.6=19.2

Answer:

7.5 miles

Step-by-step explanation:

if one mile = about 1.6 km then you would take the 12 and divide it by 1.6 which will give u 7.5 miles

(also it says high school because of the grade you probably put in)

what is 100 divided by 3?
A. Thirty three point 3
B. 33.3
C. 33.3333333333333333333
D. 4
E. ???

Answers

Answer:

C 33.3333333333

Step-by-step explanation:

Answer: dude it’s c

Step-by-step explanation: 33 1/3 = 33.3333333333333

Solve the equation algebraically
-|x+3|=-2

Answers

Answer: x=-1; x=-5

Step-by-step explanation:

1) [tex]-|x+3|=-2[/tex]

2)[tex]|x+3|=2[/tex]

3) [tex]x+3=2[/tex] or [tex]x+3=-2[/tex]

4) [tex]x=-1; x=-5[/tex]

A rectangle has a length of 31 inches less than 3 times its width. If the area of the rectangle is 984 square inches, find the length of the rectangle.

Answers

Answer:

41 inches

Step-by-step explanation:

The formula for Area of a rectangle is ;

A = L × W

L = Length

W = Width

A rectangle has a length of 31 inches less than 3 times its width.

L = 3W - 31

If the area of the rectangle is 984 square inches, find the length of the rectangle

Hence,

984 = (3W - 31) × W

984 = 3W² - 31W

Hence

3W² - 31W - 984

3W(W - 24) + 4(W - 24) = 0

(3W + 41)(W - 24) = 0

W - 24 = 0

W = 24 inches

We have to find the Length

L = 3W - 31

L = 3(24) - 31

L = 72 - 31

L = 41 inches

The Length = 41 inches

The Length of the rectangle is 41 inches

The mean undergraduate cost for tuition, room, board and fees for four-year colleges in the United States was found to be $26,489, with a standard deviation of $3204. If 36 of the four-year colleges are randomly sampled, find the probability that the mean cost for the sample schools is:

Answers

Answer:

0.1787

Step-by-step explanation:

It is given that the mean cost of undergraduate program for a four year institutions for tuition, rooms fees and board was =$26,489

And the minimum  standard deviation is given as σ = $ 3204

So, the mean normal deviation is , μ = 26,489

and the standard deviation is, σ = 3204

Thus, the probability of the mean cost for sample schools is 0.1787

Some of Amber's daily activities are listed here. Use these descriptions to select the word or symbol that correctly completes each sentence. • Amber spends 3/16 of each day doing homework. • Amber spends 0.25 of each day at school. • Amber spends 1/3 of each day sleeping. (A) 3/16 of a day 0.25 of a day (B) 0.25 of a day 1/3 of a day (C) Amber spends time doing homework than she does at school. (D) Amber spends time sleeping than she does at school.

Answers

Answer: (D) Amber spends time sleeping than she does at school.

Step-by-step explanation:

Given that :

• Amber spends 3/16 of each day doing homework.

• Amber spends 0.25 of each day at school.

• Amber spends 1/3 of each day sleeping.

Hence,

Amber spends 0.1875 of a day doing homework, which is (0.1875 * 24) = 4.5 hours

0.25 of each day at school ; (0.25 * 24) = 6 hours

1/3 of each day sleeping ; (1/3 * 24) = 8 hours

Time spent sleeping = 8 hours

Time spent in school = 6 hours

Can somebody please help me answer this question?

Answers

Answer:

x = 60°

Step-by-step explanation:

Step 1:

Triangles = Equilateral Triangles           Given

Step 2:

3x = 180          Equation

Step 3:

x = 180 ÷ 3          Divide

Answer:

x = 60°

Hope This Helps :)

please help me! i will give brainliest!

Answers

Answer:

Step-by-step explanation:

An equation is shown below:
4(2x - 5) + 15 = 11
Write the steps you will use to solve the equation and explain each step. (5 points)

Answers

multiply 4 with (2x-5)
8x-20+15=11
add 20 both sides
8x+15=31
subtract 15 both sides
8x=16
divide both sides by the x (8)
x=2

in the box of decorations there are a number of four bubbles all of them are blue except for six of them are green except for six of them are red except for 6 how many bubbles do I have in total

Answers

Answer:

Step-by-step explanation:

But y’all don’t know where Megan at

y=4x+5 in point-slope form​

Answers

Answer:

Step-by-step explanation:

Answer:

( 0, -1 ) and ( 1, -1 )

Step-by-step explanation:

I hope this helps you out!

3 power 4 x 9 power 2 ​

Answers

Answer:

3⁴×9²

81×81

6561...............


The distance from Houston to
Galveston is about 50 miles. If there are
1.6 kilometers in a mile, what is the
distance from Houston to Galveston in
kilometers?

Answers

Answer:

distance from Houston to Galveston in  kilometers will be: 80km

Step-by-step explanation:

Given

The distance from Houston to  Galveston is about 50 miles.

i.e.

Kilometers in 1 Mile = 1.6 km

As the distance from Houston to  Galveston is about 50 miles, so

The distance from Houston to Galveston in  kilometers will be:

50(1.6) = 80   ∵ Kilometers in 1 Mile = 1.6 km

Therefore,

The distance from Houston to Galveston in  kilometers will be: 80km

Points X and Z are on a number line, and point Y partitions

line XZ into two parts so that the ratio of the length of line

segment XY to the length of line segment YZ is 5:7. The

coordinate of X is 0.4, and the coordinate of Y is 5.8. What

is the coordinate of Z?

Answers

Answer:

The coordinate of [tex]Z[/tex] is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

[tex]\frac{XY}{XZ} = \frac{5}{12}[/tex] (1)

[tex]\frac{YZ}{XZ} = \frac{7}{12}[/tex] (2)

[tex]X = 0.4[/tex] (3)

[tex]Y = 5.8[/tex] (4)

From (2), we have the following expression:

[tex]YZ = \frac{7}{12}\cdot XZ[/tex]

[tex]Y-Z =\frac{7}{12}\cdot (X-Z)[/tex]

[tex]Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z[/tex]

[tex]Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z[/tex]

[tex]\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X[/tex]

[tex]5\cdot Z = 12\cdot Y-7\cdot X[/tex]

[tex]Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X[/tex] (5)

If we know that [tex]Y = 5.8[/tex] and [tex]X = 0.4[/tex], then the coordinate of [tex]Z[/tex] is:

[tex]Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)[/tex]

[tex]Z = 13.36[/tex]

The coordinate of [tex]Z[/tex] is 13.36.

y = 5x² + 3x
(Find the axis of symmetry and the vertex of the graph of the function)

Answers

Answer:

y = 5x² + 3x

(5x) x (5x) = 25x

y = 25x + 3x

25x + 3x = 28x

y =/= 28x

( =/= )  <---- is supposed to be the non equal sign

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

120

Step-by-step explanation:

solve for x then substitute

Answer:

m<WTS = 9 degrees

Step-by-step explanation:

<WTS = <TRS + <TSR  By exterior <'s

14x-6=7x-9+66             Substitute

7x=63                           Algebra

x=9

the soloutions to the equation 2x^2 + x - 1 = 2 are x= -3/2 or x=___

Answers

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

Subtracting 2 puts the equation in standard form:

  2x^2 +x -3 = 0

The product of the solutions is the ratio of the constant term to the leading coefficient: -3/2.

For solutions -3/2 and 'p', we have ...

  -3/2p = -3/2

  p = 1

The other solution is x = 1.

Help please tysm guys <3

Answers

Answer:

5 is less than or equal to 5/2x+5

Step-by-step explanation:

It is less than or equal to because the shaded part is below the line and the line is solid.

Apply the distributive property to create an equivalent expression.
(10x+20y+10z)

Answers

Answer:

I think the answer is 40.

Step-by-step explanation:

Hector's family went to the beach. They got to the beach at 11:00 A.M. and swam in the ocean for 1 hour. Then they built sandcastles for 1 hour and 30 minutes and played volleyball for 1 hour before heading home. What time was it when Hector's family left the beach?

Answers

Answer:

They left the beach at 2:30

Step-by-step explanation:

The area of a rectangular park is same as area of a square park. If the length
of the rectangular park is 24.5 m and the side length of the square park is 14m,
find the breadth of the rectangular park?

Answers

Answer:

8m

Step-by-step explanation:

Step one:

given data

length of rectangle= 24.5m

let the width be x

width of square= 14m

let the length be x

Step two:

we know that the area of a rectangle is

Ar= Length * width

Ar=24.5*x-----------1

Also, the area of the square is

As= Length * width

for square L=W

As= 14*14-----------------2

As=196m^2

equating 1 and 2 we have

14*14=24.5x

196=24.5x

divide both sides by 24.5

x=196/24.5

x=8m

The Breadth/width of the rectangular park is 8m

Your school wants to test the fire alarm system during the two hour period between 9:00 a.M. And 11:00 a.M. The probability of testing the fire alarm during this period is uniformly distributed that is X∼U(0,120). Find the probability that you have to wait more than 30 minutes, that is, find P(X>30).

Answers

Answer:

The probability is [tex]P(X>30)=0.75[/tex]

Step-by-step explanation:

We know that the probability of testing the fire alarm during this period is uniformly distributed that is [tex]X[/tex] ~ [tex]U(0,120)[/tex].

We need to find [tex]P(X>30)[/tex]

Given a continuous random variable [tex]X[/tex] with distribution :

[tex]X[/tex] ~ [tex]U(a,b)[/tex] , where ''[tex]a[/tex]'' and ''[tex]b[/tex]'' are real numbers

The probability density function is :

[tex]f_{X}(x)=\frac{1}{b-a}[/tex]    if x ∈ (a,b)

[tex]f_{X}(x)=0[/tex]  if x ∉ (a,b)

In the exercise we have [tex]X[/tex] ~ [tex]U(0,120)[/tex] , therefore the probability density function is :

[tex]f_{X}(x)=\frac{1}{120}[/tex] if x ∈ (0,120)

[tex]f_{X}(x)=0[/tex] if x ∉ (0,120)

If we want to find [tex]P(X>30)[/tex] we need to perform the integral

[tex]\int\limits^i_d {f_{X}(x)} \, dx[/tex]

Where [tex]d=30[/tex] and ''[tex]i[/tex]'' represents + ∞

Now, given that [tex]f_{X}(x)[/tex] is 0 when x ∉ (0,120), we will need to integrate between 30 and 120 to find the probability.

If we perform this integral ⇒

[tex]\int\limits^e_d {\frac{1}{120}} \, dx[/tex]

Where [tex]d=30[/tex] and [tex]e=120[/tex] ⇒

[tex]\int\limits^e_d {\frac{1}{120}} \, dx=\frac{3}{4}=0.75[/tex]

PLZ Someone help
Find the measure of angles 3 and 4

Answers

Answer:  3 =92

               4 = 88

Step-by-step explanation: because angle 4 = 180-42+46 = 92 and angle 3 is 180-92 = 88

Answer:

∠3=88 , ∠4=92

Step-by-step explanation:

∠4 + 42° + 46° = 180° (angle sum property of a triangle)

∠4 + 88° = 180°

∠4 = 180° - 88°

∠4 = 92

∠3 + ∠4 = 180° (linear pair)

∠3 + 92° = 180°

∠3 = 180° - 92°

∠3 = 88°

Multiply mixed numbers 5 times 1 3/4=

Answers

Answer: 8.75 is your answer

Answer:

8 3/4

Step-by-step explanation:

Pick A Random Number Between 1-40 if i pick your number and you get it right then you get brainliest.

Answers

Answer:

32

Step-by-step explanation:

"-3 = 9/5c + 32" help with finding c pls!! i need it as a decimal btw.

Answers

Answer:

-3=9/5c +32

-3*5c=9/5c*5c+32*5c

-15c=9+160c

-15c -160c =9

c(-15-160)=9

c(-15-160)/(-15-160)=9/(-15-160)

c=9/(-15-160)

Which of these statements are correct? Select TWO that apply.

Answers

Answer:

3 and 1

Step-by-step explanation:

Answer:

last one and third to last one

Step-by-step explanation:

just trust me mate

what are the statements and reasons?

Answers

Answer:

A statement is an equation or expression describing the geometrical shape. The reason is the reason for that statement, like "Definition of a straight angle."

Step-by-step explanation:

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