In rectangle EFGH, EH I FG and EH crosses the y-axis at (0.-2). If the equation of the line containing FG is x + 3y = 12, write the equation of the line containing EH in slope- intercept form. Show your work to justify your answer.​

Answers

Answer 1

Answer:

y = (-1/3)x - 2

Step-by-step explanation:

First we should put the equation for FG into slope intercept form, which is y = mx + b. For this step, just solve for the y in the equation, which should be y = (-1/3)x + 4.

Next, since we know that FG and EH are parallel, their slopes must also be the same. We also know the (0, -2) is a point on EH, and also happens to be the y-intercept. Therefore, we can plug it back into the slope intercept equation and get y = (-1/3)x - 2, since the m is the same and the -2 is just the y-intercept given in the problem.


Related Questions

a cyclist rides his bike at a rate of 40 kilometers per hour. what is this rate in miles per hour? how many miles will the cyclist travel in 5 hours? in your computations, assume that 1 mile is equal to 1.6 kilometers. do not round your answers.

Answers

Answer:

64 miles per hour; 320 kilometers in 5 hours

Step-by-step explanation:

take 1.6 multiplied by 40 and get 64 for the first question

then take 64 multiplied by 5 and get 320 for the second question

I need help on this!

Answers

Answer:

A correctly shows the location of all the given values.

Step-by-step explanation:

The main difference can be found with the value -2 [tex]\frac{3}{4}[/tex]. This value would be less than -2 so the dot should be close to the middle line between -2 and -4.

Hope this helps~!

Answer:

A

Step-by-step explanation:

A) -4, -2 3/4, 1/2 , 1 1/4

B) -4, -2 1/4, 1/2 , 1 1/4

C) -4, -1 1/4, 1/2, 2 1/4

D) -4, -1/2, 1/2, 2 3/4

Help ASAP!!!!
Use vector operations to draw the resultant vector
Draw 2u – 1/3v.

Answers

Vectors are elements of the vector space, and they can be illustrated by diagrams.

How to draw the vector 2u - 1/3v

The vector expression is given as:

2u - 1/3 v

Split the vector expressions, as follows:

[tex]y_1 = 2u[/tex]

[tex]y_2 = -\frac13v[/tex]

See attachment for the graphs of y1 and y2.

Next, we have:

[tex]y = 2u - \frac13v[/tex]

So, we have:

[tex]y = y_1 + y_2[/tex]

The above expression means that, we add the vectors y1 and y2 to get vector y

See attachment for the graph of 2u - 1/3 v

Read more about vectors at:

brainly.com/question/14480278

B) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

C) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.


D) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

E) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

Answers

[B] Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has vertical line symmetry, but does not have horizontal line symmetry.

Explanation: Base on the given you can see that the letter 'A' is vertical cut into equally but not horizontal

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

C) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has horizontal line symmetry, but does not have vertical line symmetry.

Explanation: Base on the given you can see that the letter 'D' is horizontal cut into equally but not vertical

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

D) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has BOTH horizontal and vertical line symmetry.

Explanation: Base on the given you can see that the letter 'H' is equally cut in vertical and horizontal line symmetry.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

E) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has NEITHER horizontal or vertical line symmetry.

Explanation: Base on the given you can see that the letter 'J' is not equally cut in vertical neither horizontal.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Learn with Lenvy~

2. What value of x makes the equation true? 1.7x - 7 = 1.2x +5 *
4.13
-4
24
2.9
I need help!

Answers

Answer:

24

Step-by-step explanation:

1.7x - 1.2x = 5 + 7

0.5x = 12

x = 24

A penguin walks 10 feet in 6 seconds. how far does the penguin walk in 45 seconds EXPLAIN OR SHOW YOUR REASONING

Answers

Answer:

75 feet in 45 seconds

Step-by-step explanation:

*disclaimer*

dont know if this is how you were taught to do this but heres how i was:

[tex]6 sec /10 ft. = 45 sec / x[/tex]

Set this up as a proportion.

Then multiply 10 ft by 45 sec, and 6 sec by x

Your equation then simplifies to

6x = 450

x = 75

solution of the line y − 2x = 6

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-2*x-(6)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y-2x-6 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

An umbrella is made up of 6 isosceles triangular pieces of cloths. The measurement
of the base of each triangular piece is 28 cm and two equal sides are 50 cm each.
If the rate of cost of the cloth is Rs 0.50 per sq. cm., find the cost of the cloths
required to make the umbrella.​

Answers

There you go

PLEASE MARK IT AS A BRILLIANT ANSWER

You were 20 inches tall at birth, and 65 inches tall on your 10th birthday. Create a linear equation to
represent this situation. According to your equation, how tall will you be at age 20?

Answers

linear equation: y= 3.5x + 20

height at 20: 90in


Explanation-

linear equation:

x represents the number of years
y represents the height in inches

we’ll have the points
(0,20) height at birth
(8, 48) height at 8th birthday

to find slope you would do

m= (48-20)/(8-0)
= 3.5 inches/year

b would be 20

so y= mx + b would give you

y=3.5x + 20

if you add 20 into that equation you’d get

y= 3.5(20) + 20 = 90inch

y=90

find the area of the shape A B C D
find the perimeter of the shape A B C D
find the area and perimeter of the shape DBC

Answers

Answer:

ABCD = 9cm²

BCD =7.5cm²

perimeter of abcd = 25.8cm

Ms. Russell has 31 students in her class. There are 14 boys and 17 girls. What fraction represents the number of girls in her class.

Answers

31 students total
14 boys
17 girls

17/31 girls fraction

A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second . How fast was it going ?

Answers

Answer:

30m/sec

Step-by-step explanation:

v=s/t

given s= 10m

t=1/3 sec

v= 10/(1/3)=10×3/1= 30 m/s

Answer:

10 meters per 1/3 second equals

30 meters per second and multiplying this by 60 makes it

900 meters per minute or .9 kilometers per minute

multiplying this by 60 makes it

54 kilometers per hour

Step-by-step explanation:

Can you help me find the surface area of this prism?

Answers

Answer:

To find the surface area of this parallelepiped, we need to know how to find the area of a regular parallelogram.

Formula for area of a parallelogram;

A = BH

Where b represents the base, and h displays as the height.

Once, we know how to find the area of a parallelogram, we find the areas of the three different sides of this figure and multiply it by two since opposite sides have an equal area.

Now we find the area of the front parallelogram:

A = BH

Plug in our values;

A = 4(2)

A = 8, and since opposite sides are equal:-

8(2) = 16, is the area of both the front and back parallelograms.

Now the top and bottom bases of this parallelepiped.

But, to find the height and base of this, we transfer the base of the front parallelogram and the base of the right parallelogram. So our base and height is 4.

A = BH

Plug in our values;
A = 4(4)

A = 16, and since opposite sides are equal:-

16(2) = 256, is the area for both the upper and bottom bases.

Now for the right and left parallelograms;

A = BH

Plug in our values;

A = 4(2.5)

A = 10, since opposite sides are equal:-

10(2) = 20, is the area of both the right and left parallelograms.

Now we add all the areas together:

16 + 256 + 20

= 292 square meters.

HELP ASAP ILL GIVE BRAINLIEST AND EXTRA POINTS

Answers

it going to be number three

the answer to this is x=1

6th-grade math help on geometry.

Answers

Answer:

okay , attach a file .

Step-by-step explanation:

A certain electronic component manufacturing process produces parts, 20% of which
are defective. Parts are shipped in units of 400. Shipments containing more than 90 defective parts
may be returned. You may assume that each shipment constitutes a simple random sample of parts.

Answers

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

i’ll mark brainlest to whoever answers this question first! :)

Answers

Answer:

y=-3/4+1

Step-by-step explanation:

Goes three down, 4 right and intersects at 1 on y axis

Answer:

The answer is: y= -3/4x+1

If it's wrong than I'm sorry

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y > 3x + 10

y is less than negative 3 over 4 times x minus 1

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically

Answers

9514 1404 393

Answer:

  A) The graph is the quadrant of the coordinate plane that lies between the two lines and to the left of the point (-2 14/15, 1 1/5)

  B) no; it does not satisfy either inequality

Step-by-step explanation:

A) The boundary line defined by the first inequality is a dashed line with a slope of 3 and a y-intercept of 10. Shading is above the line (and to its left).

The boundary line defined by the second inequality is a dashed line with a slope of -3/4 and a y-intercept of -1. Shading is below the line (and to its left).

The two lines cross at the 2nd-quadrant point (-2 14/15, 1 1/5). The solution area is the area between the crossing lines and to the left of that point. Neither that point nor any point on either line is part of the solution area.

The solution area is the doubly-shaded area in the attached graph.

__

B) The first-quadrant point (8, 10) is not in the solution area, since the solution area is comprised of parts of quadrants 2 and 3 only.

We can see that (8, 10) will not satisfy either inequality:

  10 > 3(8) +10 . . . . not true

  10 < -3/4(8) -1 . . . . not true

Evaluate f(-3) if
f(x)=x^2+2x
Be sure to include f(x)=
due in 1 hour

Answers

Answer:

[tex]f(-3)=3[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+2x\\\\f(-3)=(-3)^2+2(-3)\\\\f(-3)=9-6\\\\f(-3)=3[/tex]

Answer:

f(-3) = 3

Step-by-step explanation:

plug in -3 for x in the equation.

(-3)^2 + 2(-3)

9 + (-6)

9 - 6

3

Complete the reasons for the proof.
Given:
m<3 = m<4
To Prove:
<1, <2 are supplementary

Answers

2. 2 sides in a line

3. linear (or) supplementary

5. Vertically, equal

6.Substitution

7. alternate exterior angles

Answer:

see below

Step-by-step explanation:

1.  given

2.  adjacent sides in straight line

3.  definition of supplementary adjacent angles

4.  substitution

5.  opposite angles are equal

6.  substitution

7.  definition of alternate exterior angles

Use the properties of the parallelogram drawn to find m

Answers

Answer:

photo not clear

Step-by-step explanation:

try re-upload the question

3. Each fime the team loses, they lose
7 points in the standings. Use the
expression below to show the total
number of points lost from their 5 losses.
581-7

Answers

Answer:

the expression you showed wasn't correct but I still something with the expression but I don't think is the correct answer

Step-by-step explanation:

=> {581}-{7}

=> {574}

=> 574

NEED LINEAR ALGEBRA ANSWER ASAP
B IS INCORRECT

Answers

Answer:

Choice D

Step-by-step explanation:

Multiply the scalar into the matrix

3*2

3*-1

The first matrix becomes

6

-3

6     -    0

-3         =1.5

We are subtracting a negative so it is like adding

6     +   0

-3     +   1.5

6

-1.5

Choice D

Answer:

4th option

Step-by-step explanation:

3 [tex]\left[\begin{array}{ccc}2\\-1\\\end{array}\right][/tex]  - [tex]\left[\begin{array}{ccc}0\\-1.5\\\end{array}\right][/tex] ← multiply the components of the first matrix by 3

= [tex]\left[\begin{array}{ccc}6\\-3\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}0\\-1.5\\\end{array}\right][/tex] ← subtract corresponding components

= [tex]\left[\begin{array}{ccc}6-0\\-3-(-1.5)\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}6\\-3+1.5\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}6\\-1.5\\\end{array}\right][/tex]

PLEASE PLEASE HELP !

Answers

Answer: if you multiple 4.25 and 2 and that will be the answer you welcome

10. Read the question carefully and type your answer in the space below. *
3 points
Use each digit shown below to create a 5-digit number with the greatest value and
a 5-digit number with the least value. Each digit can only be used once in each
number. Then write a number sentence using >,<, or = to compare the two
numbers you created.
2, 9, 1, 3, 8
Your answer
This is a required question
Submit
Never submit passwords through Google Forms.

Answers

Answer:

Greatest = 98,321

Least= 12,389

98,321>12,389

Step-by-step explanation:

there are only 5 digits. To get the greatest number, the digits with the most value should be put in front to ensure the great value.

To get the smallest number, the digits with the least value should be put in front.

The greater valued number is greater than the least valued number

Factorise 2x² + 6x + 36​

Answers

Answer:

[tex]2 (x^2+3x+18)[/tex]

Step-by-step explanation:

hope the image helps

State the range of f(x) on this domain interval.

Answers

Answer:

The range of a function is the set of outputs of the function

on the graph, outputs of a function are on the y-axis. So we will see the highest and the lowest output of this function

From the graph, we see that the function has the outputs:

{0 , 1 , 2 , 3 , 4 , 5 , 6}

Therefore, this is the range of the function

Solve for c.

ab + c = 5

c = 5/ab
c = 5 - ab
c = 5 + ab

Answers

ab=0
c=5
Doble check it tho
C=5/ab is what I think the answer is

8-2(-4-7) not sure how to do this?

Answers

You always have to do what is inside the parenthesis first

-4 - 7 = -11

Next, you have to times that result with 2 (don't mind the negative/minus sign yet)

2 * (-11) = -22

8 - (-22) = 30

Answer = 30

find the area pls i need it

Answers

Answer:

521 mm²

Step-by-step explanation:

Hi there !

A = Asemicircle + Atrapeze

Asemicercle formula

r = d/2 = 20mm/2 = 10mm

Asc = π·r²/2

= 3.14·(10mm)²/2

= 3.14×100mm²/2

= 157 mm²

Atrapeze formula

At = (b + B)×h/2

= (20mm + 32mm)×14mm/2

= 52mm×7mm

= 364 mm²

A = Asc + At

= 157mm² + 364mm²

= 521 mm²

Good luck !

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