In the rectagular prism shown below, GH is parallel to EF. If the equation of GH is 6y-x=2, could the equation of EF be 4=y-1/6x? Explain your reasoning.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Given

GH:

[tex]-6y - x = 2[/tex]

Required

Can EF be

[tex]4 = y - \frac{1}{6}x[/tex]

First, we determine the slope of GH

[tex]-6y - x = 2[/tex]

Solve for 6y

[tex]6y = -x - 2[/tex]

Solve for y

[tex]y = -\frac{1}{6}x - \frac{2}{6}[/tex]

[tex]y = -\frac{1}{6}x - \frac{1}{3}[/tex]

An equation has the form:

[tex]y =mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = -\frac{1}{6}[/tex]

Next, determine the slope of EF

[tex]4 = y - \frac{1}{6}x[/tex]

Make y the subject

[tex]y = -\frac{1}{6}x + 4[/tex]

The slope is:

[tex]m = -\frac{1}{6}[/tex]

Compare the slopes of both lines.

[tex]m=m = -\frac{1}{6}[/tex]

Since they have the same slopes, then the equation of EF is possible


Related Questions

End of Module 4 Assessment

Answers

Answer:

where's the question?

Step-by-step explanation:

is it a question?

Answer:

whats the question?

Step-by-step explanation:

helpppp me pleaaaaseeeewww

Answers

Answer:

A

Step-by-step explanation:

I believe it is A If I remember correctly

HELP WILL MARK BRAINLY

Answers

Don’t click on that link it’s a scam

A shirt originally cost $41.10, but it is on sale for $36.99. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent. A. 10% B. 90% C. 11% D. 8%

Answers

Answer:

10%

Step-by-step explanation:

The first step is to calculate the decrease

Original price= $41.10

New price= $36.99

= 41.10-36.99

= 4.11

4.11/41.10 × 100

= 0.1×100

= 10%

Hence the percentage decrease is 10%

Jenny counted the coins in her bank.

She had 4 times as many nickels as dimes.
She had 8 more quarters than nickels.
She had 52 dimes.
How many quarters did Jenny have in her bank?

A.
21

B.
64

C.
200

D.
216

Answers

Answer:

Step-by-step explanation:

its d cause there is actually 208 nickles and if u ad 8 more it gives u 216.

Answer: D.

Step-by-step explanation:

52x4=208

Since we know she has 4 times as many nickels as dimes(52), we just have to multiply 52x4 to get 208 nickels

208+8=216

We know that she has 8 more quarters than nickels(208) so we have to add 8 to 208 to get 216 quarters

I hope this helps

Hopefully it's brainlist



Leo is constructing a tangent line from point Q to circle P. What is his next step?



Mark the point of intersection S of the segment created from the arcs and circle R, and construct line RS.

Mark the point of intersection S of circles R and P, and construct line QS.

Construct arcs from point Q that are greater than half the length of segment PQ.

Construct a circle from point P that has a radius of P and the intersection of circles P and R.

Answers

Answer:

hello your question has a missing diagram attached below is the missing diagram

answer :  

Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )

Step-by-step explanation:

when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between  the given circles and then construct a line through it

Answer:

Mark the point of intersection S of circles R and P, and construct line QS.

Step-by-step explanation:

This is correct because after you create circle R that intersects circle p, you're supposed to mark the intersection points.  If your in FLVS, it would be in lesson 7.04.  I also got this right on my test.  Good luck!

Write the standard form of the equation of the circles that passes through (0, 3) with its center at (0,0)

Answers

Answer:

[tex]x^2+y^2=9[/tex]

Step-by-step explanation:

Equation of a circle (when centred at the origin):

[tex]x^2+y^2=r^2[/tex] where r is the radius of the circle

Plug in the point (0,3) to solve for the radius squared

[tex]0^2+3^2=r^2\\9=r^2[/tex]

Plug r² back into the original equation

[tex]x^2+y^2=9[/tex]

I hope this helps!

Artem drives 12.6 miles in 12 minutes.
He passes a sign which gives the speed limit as 50 mph.
By how much, in mph, did Artem's average speed exceed the speed limit?

Answers

Answer:

18 mph

Step-by-step explanation:

12.6 × 5 =68.0. 68 - 50 = 18

6 to the negative 4th power times 6 to the 7th power ​

Answers

Answer:

216

Step-by-step explanation:

(6 to the -4th) * (6 to the 7th)

Given circle B below, find the value of x.







A 27


B 44


C 71


D 142

Answers

Answer:

B. 44°

Step-by-step explanation:

Central angle = 3x + 10°

Inscribed angle = 2x - 17°

Now

Central angle = 2 * inscribed angle

( Central angle is double of the inscribed angle standing on same arc)

3x + 10° = 2 ( 2x - 17°)

3x + 10° = 4x - 34°

4x - 3x = 34 ° + 10°

x = 44°

Hope it will help :)❤

When Larry tried to teach his dog Allegra to speak, he gave him 1 sausage - and he barked once. When he
gave him 2 sausages, he barked twice. Then he gave him 3 sausages, and he barked three times.
Larry predicted that Allegra would bark four times if he gave him 4 sausages.
What type of reasoning did Larry use to make his prediction?
A. Deductive reasoning
B. Inductive reasoning
C. Indirect reasoning
D. Circular reasoning

Answers

its c, sorry if i’m wrong

In case of : Allegra barking n = 4 times, when given 4 sausages - Inductive Logic is used.

Given : Allegra barks once & twice & thrice, when Larry gives him 1 & 2 sausages respectively.

So, later he assumes that he would bark 4 times, if given four sausages

Deductive Reasoning is when conclusion related to particular is drawn, based on general universal. Eg : All men are mortal, Ram is a man. Ram is mortal. Inductive Reasoning is when a generalised conclusion is drawn, based on specific case. Eg : Law of gravity based on apple falling.                     Allegra's case of barking n times for n sausages (1, 2,3 ...) is further generalised for other positive numbers & hence 4. Indirect Reasoning relates two events. If A is true leads to B is true, then B is false implies A has also been false. Circular Reasoning is a logical fallacy of beginning with an already assumed true statement.

To learn more, refer https://brainly.com/question/2848937?referrer=searchResults

Chloe has enough sand to fill a sandbox with an extra area of 36 square units she wants the outer edge of the sandbox to use as little as Material possible

Answers

Answer:

[tex]Length = Width = 6\ units[/tex]

Step-by-step explanation:

Given

[tex]Area=36[/tex]

Required

The least possible material

Sandboxes usually, are rectangles or squares.

Using the above assumption, the area is calculated as:

[tex]Area= Length * Width[/tex]

[tex]Area= L* W[/tex]

[tex]L * W = 36[/tex]

Make L the subject

[tex]L = \frac{36}{W}[/tex]

The material of the outer edge is calculated by the perimeter.

[tex]Perimeter = 2 * (L +W)[/tex]

[tex]P = 2 * (L + W)[/tex]

Substitute [tex]L = \frac{36}{W}[/tex]

[tex]P = 2 * (\frac{36}{W} + W)[/tex]

Open bracket

[tex]P = \frac{72}{W} + 2W[/tex]

[tex]P = 72W^{-1} +2W[/tex]

To get the minimum material needed, we differentiate P

[tex]P' = -72W^{-2} + 2[/tex]

Set: [tex]P' = 0[/tex]

[tex]-72W^{-2} + 2 = 0[/tex]

Collect like terms

[tex]72W^{-2} = 2[/tex]

Divide both sides by 72

[tex]W^{-2} = \frac{2}{72}[/tex]

[tex]W^{-2} = \frac{1}{36}[/tex]

Rewrite as:

[tex]\frac{1}{W^2} = \frac{1}{36}[/tex]

Take positive square roots of both sides

[tex]\frac{1}{W} = \frac{1}{6}[/tex]

Cross multiply

[tex]W = 6[/tex]

Recall that: [tex]L = \frac{36}{W}[/tex]

So, we have:

[tex]L =\frac{36}{6}[/tex]

[tex]L = 6[/tex]

Hence, the dimension with the littlest material as possible is:

[tex]Length = Width = 6\ units[/tex]

anyone know the answer?

Answers

i want to say it’s the second one

Which of the following is equivalent to

4x2y - 2y2x - 5xy
Select one:


a. -2x2y - 5xy + 4xy2


b. 2xy2 - 5xy + 4x2y


c. -2xy2 + 5xy + 4x2y


d. -2xy2 - 5xy + 4x2y


e. 2x2y - 5xy

Answers

Answer:

1 Simplify  4x\times 2y4x×2y  to  8xy8xy.

8xy-2y\times 2x-5xy

8xy−2y×2x−5xy

2 Simplify  2y\times 2x2y×2x  to  4yx4yx.

8xy-4yx-5xy

8xy−4yx−5xy

3 Simplify.

-xy

−xy

Step-by-step explanation:

Find the diameter of a circle with a circumference of 63 feet. Round your answer to the nearest hundredth.


The diameter is about__

feet.

Answers

Answer:

20.05feet

Step-by-step explanation:

Given data

Circumference= 63feet

The expression for circumference is

C= 2πr

substitute

63= 2*3.142*r

63= 6.284r

r= 63/6.284

r=10.025

Hence the diameter is

=10.025*2

=20.05feet

can someone help me with this because I am struggling and if you don't mind show me the steps

Answers

Attach and send a picture

There are approximately 3,000 bass in a lake. The population grows at a
rate of 2% per year. What is the average rate of change of the population
of bass from Year 1 to Year 4? Round your answers to the nearest tenth.

Answers

62.4 bass per year from year 5 to year 8, the average rate of change from the population was about 67.6 best per year the change of rate increase was about

PLEASE PLEASE PLEASEEE HELP I DONT UNDERSTAND

Answers

Answer:

29.5 times pi or 3.14

Step-by-step explanation:

Stella wants to buy a $177,000 house, and she is comparing a 7/1 ARM with an interest
rate of 8 75%, amortized over 30 years, with a 7/23 balloon mortgage that has an
interest rate of 8.25%
24. What would Stella's monthly payment be for the 7/1 ARM?

Answers

Answer: Are there any answer choices? If there are I could probably help you, thanks <3

Step-by-step explanation:

-2 (4d-1)=26 how to solve plz​

Answers

Answer:

-3 = D

Step-by-step explanation:

A really smart freind of mine says this is the answer.

Gilbert purchased a car for 34000. The car depreciates at a rate of 14% per year. The exponential function that represents this situation is y = 34000(0.86)^x.

What is the change factor for this function?

Answers

Answer:

.86

Step-by-step explanation:

Exponential function formula

[tex]y = a ( 1 + or - r ) ^t[/tex]

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

I have a 30% off Kohl’s coupon!!! I find a pair of jeans for $29. What would my cost be with the 30% off?

Answers

Answer:

$20.30  plus tax

Step-by-step explanation:

You multiply 28 x .30 and that is your discount.

Answer:

$20.30

Step-by-step explanation:

Please explain the answer and real answers only. Find the y=mx+b

Answers

Answer:

-2

Step-by-step explanation:

Given equation

x - 2y = 4

2y = x - 4

y = ( x - 4 ) / 2

y = x/2 - 4 /2

y = x/2 - 2

Comparing with y = mx + b

y-intercept (b) = - 2

Hope it will help :)❤

If the square below is enlarged by a scale factor of 2, what will be the area of the new square? 184 square units 188 square units 192 square units 196 square units

Answers

Answer:

256square units

Step-by-step explanation:

Since we are not given a diagram. Let us assume the side length of the given square is 8 units

If the  the square is enlarged by a scale factor of 2, the side length of the new square will be 2 * 8 = 16units

Since area of a square = L²

Hence the area of the new square =  16²

area of the new square =  256 square units

Hence the area of the new square is 256square units

Note that the side length of the original square was assumed. The values can change depending on the side length of the original square before enlargement

resuelve la inecuación

(3x<15)

Answers

Answer:

x<5

Step-by-step explanation:

(3x<15)

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

x<15/3

Divide 15 by 3 to get 5.

x<5

HELP ME NOW PLEASE................

Answers

the amount of income tax in dollars and cents is $3,895.38

which expression has a value of 16 when x=2

Answers

Answer:

Step-by-step explanation:

point sorry

answer this question!!! :)

Answers

Answer:

X = 1

Step-by-step explanation:

You first divide each side by 3 leaving you with X+5 = 6. Then you take the 5 to the other side leaving you with X=6-5 as the 5 changes from positive to negative. So 6-5=1 so X=1

Hope this helped

-A3miz

Age:13

Divide both sides by 3
Then simplify 18 over 3 to 6
Then subtract 5 from both sides
Last simplify 6-5 to 1

Which of the following is equivalent to the expression shown below

Answers

Answer:

v^3/2

Step-by-step explanation:

(sqrt(v))^3

sqrt(v)^3

v^3/2

❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️Pls hurry I’ll give brailiest ❗️❗️❗️❗️❗️❗️❗️❗️

Answers

Answer: 4 black marbles, 3 blue, 2 green, and one red.

Step-by-step explanation:

Other Questions
3. Mrs. Lopez, a counselor at Round Rock High School. found that 18% of the students had a math class first period. If there are 800 students at the school, how many students are NOT in a math class for first period? A study finds that the number of gallons of water used each month per household in aresidential neighborhood are normally distributed with a mean of 470 gallons and astandard deviation of 50 gallons. A household is randomly selected. What is theprobability that the household uses 480 gallons of water or less per month? Dakota paid $48.60 for a new backpack, and this included an 8% sales tax. What is the price before tax. Select the correct answer.Which Florida court would handle cases that involve crimes committed by minors?A. probate courtB. juvenile courtC. federal courtD. civil court there are 47 numbers Find the probability that i will pick the 6 winning numbers in a draw A gardener makes a new circular flower bed. The bed is teen feet in diameter. Calculate the circumference and the area of the circular flower bed. Help me plssss NO LINKS PLSSSSSSS Someone please help x-intercept of 5 and a y-intercept of -4.Write this street's equation in slope intercept form. Find the area of the circle. Leave your answer in terms of4.1.A) 4.2025B) 8.405C) 16.81 D) 11.2 If you have a transfer RNA molecule with the anticodon CCC what is the amino acid being carried in during elongation ? Joe ran 12 laps around the field to run a total of 1 km on Sunday. How many laps will he need to run on Monday to run 4/6 of a km? Taking the convection heat transfer coefficient on both sides of the plate to be 860 W/m2 K, deter- mine the temperature of the sheet metal when it leaves the oil bath. Also, determine the required rate of heat removal from the oil to keep its temperature constant at 45C. Evaluate: 2x-5y for x=-7 and y=-2 Riley took 5 tests in science. Each test had a different score. The mean score of the tests was 90%. The median score of the tests was 85%. Based on this information, select the two statements that must be true. A: More than half of the scores were 85% or greater.B: More than half of the scores were 90% or greater.C: There were no scores less than 85% D: There were no scores less than 90% E: At least one score was exactly 85% F: At least one score was exactly 90% multipaction equation that will help find the number 23 Is a plain the result of constructive forces, destructive forces, or both?A plain is a result of both constructive and destructive forces.A- Crustal deformation raises the land up, and weathering then flattens the raised area out.B-A plain is a result of both constructive and destructive forces. Weathering keeps the plain flat over time, and deposition brings more soil and sediments in.C- A plain is a result of constructive forces. Deposition brings in soil and sediments that spread out in a large flat area and build up large flat land.D- A plain is a result of destructive forces. Weathering evenly wears the land down over time, which keeps the area wide and flat. 150 is divided between Nick, June & Sushil so that Nick gets twice as much as June, andJune gets three times as much as Sushil. How much does June get? What is the difference between center of mass and center of gravity? on January 17 2014 snow fell for 3 3/4 hours in Amarillo Texas if it snowed a total of 3 feet how much snow fell per hour?