Segment AB falls on line 6x + 3y = 12. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?
They are parallel because they have the same slope of -2.
1
They are parallel because they have the same slope of
2
They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.
They are lines that lie exactly on top of one another because they have the same slope and a different y-intercept.

Answers

Answer 1

Answer: C

Step-by-step explanation:

The slope-intercept form of a line is given by

y = mx + b

m - slope

b - y-intercept

Segment AB lies on the line 6x + 3y = 12

6x + 3y = 12

3y = -6x + 12

​​y = -6/3​x +  12/3​  

y = -2x + 4

Comparing with the slope-intercept form,

Slope = - 2

y-intercept = 4

Segment CD lies on the line 4x + 2y = 8

4x + 2y = 8

2y = -4x + 8

y = -4/2​x +  8/2

y = - 2x + 4

Comparing with the slope-intercept form,

Slope = - 2

y-intercept = 4

Both the line segments have the same slope and the same y-intercept, so the two line segments will lie exactly on top of one another.

Therefore, the correct option is (c)


Related Questions

How to solve x/2-y/3=1, x-y/4=4 using method of elimination​

Answers

Answer:x+y=14        .....(1)x−y=4         ......(2)On adding 1 and 2, we get,2x=18x=9Putting this value in equation 2, we get,9−y=4y=5Hence, x=9 and y=5.

five more than the quotient of a number and eight is 42

Answers

Answer:

5+n/8= 42

Step-by-step explanation:

Answer:

5+n/8= 42

Step-by-step explanation:

1. How does the distance formula help me know if two or three sides of a triangle are equal?​

Answers

If we consider what the distance formula really tells you, we can see the similarities. It is more than just a similar form.
The distance formula is commonly seen as:
D= √(x1−x2)2+(y1−y2)2
We commonly write the Pythagorean Theorem as:
c= √a2+b2
Consider the following major points (in Euclidean geometry on a Cartesian coordinate axis):
The definition of a distance from
x
to ±c is |x−c|
.
There is the relationship where
√(x−c)2=|x−c|=x−c
AND −x+c
The distance from one point to another is the definition of a line segment.
Any diagonal line segment has an
x
component and a
y
component, due to the fact that a slope is
Δy/Δx
. The greater the
y
contribution, the steeper the slope. The greater the
x
contribution, the flatter the slope.
What do you see in these formulas? Have you ever tried drawing a triangle on a Cartesian coordinate system? If so, you should see that these are two formulas relating the diagonal distance on a right triangle that is composed of two component distances
x
and
y
.
Or, we could put it another way through substitutions based on the distance definitions above. Let:
x1−x2=±ay1−y2=±b

(depending on if x1>x2 or x1

Find the equation of the linear function represented by the table below in slope-intercept form.

x y
-4 0
1 5
6 10
11 15

Answers

Answer:

the desired equation is y = x + 4.

Step-by-step explanation:

Slope is defined as m = rise over run.  Run is the change (usually an increase) in x, and rise an increase or decrease in y.

We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5).  Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.

Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:

5 = 1(1) + b, or b = 4.

Therefore the desired equation is y = x + 4.

find the equation of the line

Answers

Answer:

[tex]\mathsf{y=-\dfrac13x+5}[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]\mathsf{y=mx+b}[/tex]

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, 5)

Therefore, b = 5

Choose another point on the line, e.g. (3, 4)

Now use the slope formula to find the slope:

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

where:

[tex]\mathsf{(x_1,y_1)=(0,5)}[/tex][tex]\mathsf{(x_2,y_2)=(3,4)}[/tex]

[tex]\implies \mathsf{slope=\dfrac{5-4}{0-3}=-\dfrac13}[/tex]

Therefore, the equation of the line is:

[tex]\mathsf{y=-\dfrac13x+5}[/tex]

Answer:

[tex]y=-\frac{1}{3} + 5[/tex]

Step-by-step explanation:

Pick two points (0,5) & (3,4) find the slope  [tex]m= \frac{y_{2} - y_1 }{x_2 - x_1}[/tex] >> [tex]m = \frac{4-5}{3-0} = -\frac{1}{3}[/tex]Find y-intercept (where x is 0) >> y = 5

Find the area of the rectangle with the given base and height.
3 ft 3 in
The area of the rectangle is it?
(Type an integer or a simplified fraction.)
Plz help

Answers

Answer: Area = 108 in. or 3/4 ft.

Step-by-step explanation: The formula for the area of a rectangle is l•w (length times width).

To get the area, you need to convert the units of measurement to one or the other (either inches or feet) because you cannot multiply them unless they are the same.

To get the area in inches, you convert 3 ft. to inches which is 36 inches, and then multiply it by 3 inches. You will get that the area = 108 inches.

To get the area in feet, you convert 3 inches to feet which is 1/4 (or 0.25) feet and then multiply it by 3 feet which gives you area = 3/4 ft. (or 0.75 ft.). Hope this helps.

Pleaseeeee neeeddd helppp asappp

Answers

ANSWER:

Segment TS is a Chord

If AR = 14 , then QS = 14 ×2 = 28

ATS is an Isosceles Triangle

HOPE THIS HELP YOU , FOR ANY QUESTION PLEASE ASK ME

need help!!!!!!!!!!!!!​

Answers

Answer:

3rd answer

Step-by-step explanation:

they all need to be parallel so that the angles are congruent

Please solve the equation shown below

Answers

Answer:  slope = [tex]\frac{6}{4}[/tex]

Step-by-step explanation:

To find the slope, choose two points. (0,0) and (4,6)

slope = (y2 - y1) / (x2 - x1) = (6 - 0) / (4 - 0) = 6 / 4

Corresponding Angles
I
16. Given that I lm, find the value of 'X'.
4x + 10
m
8x – 25

Answers

Answer:

x = 8.75

Step-by-step explanation:

The given angles are corresponding and congruent, thus

8x - 25 = 4x + 10 ( subtract 4x from both sides )

4x - 25 = 10 ( add 25 to both sides )

4x = 35 ( divide both sides by 4 )

x = 8.75

what is the answer to this equation using the quadratic formula?
3x^2+2x+4x=0

Answers

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+4}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(4)}}{2(3)}\implies x=\cfrac{-2\pm \sqrt{4-48}}{6}[/tex]

[tex]x=\cfrac{-2\pm \sqrt{-44}}{6}\implies x=\cfrac{-2\pm \sqrt{(-1)(2^2)(11)}}{6}\implies x=\cfrac{-2\pm 2~i\sqrt{11}}{6} \\\\\\ x=\cfrac{2(-1\pm i\sqrt{11})}{6}\implies x=\cfrac{-1\pm i \sqrt{11}}{3}[/tex]

mind you that it has two complex roots, or imaginary values.

2x and 2y are like terms. True False
plzzz help mee

Answers

false bc one's an x and the other's a y.

Step-by-step explanation:

The answer is false. 2x and 2y are no like terms because they do not have the same variable

3
4
5
Enter the appropriate word(s) to complete the statement.
base
perfect cube
rational number
cube root
perfect square
repeating decimal
exponent
power
scientific notation
irrational number
radical sign
square root
monomial
real number
terminating decimal
6
7
18
Choose the correct term from the two choices given which makes the statement true.
(Scientific notation, Square root) is a compact way of writing numbers with absolute values
that are very large or very small.

Answers

Answer:

The answer is scientific notation

Step-by-step explanation:

The definition of scientific notation is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form.

I hope this helps :)

which number comes after 3,265 and before 5,631?

Answers

Step-by-step explanation:

after 3265 , 3266 will come

before 5631 , 5632 will come

what is 48/37 as a mixed fraction?

Answers

Answer:

1 11/37 is the correct answer

I want to choose a license plate which is 3 characters long, where the first character is a letter, the last character is a digit, and the middle is either a letter or a digit. I also want there to be two characters on my license plate which are the same. How many ways are there for me to choose a license plate with these restrictions

Answers

Answer:

Step-by-step explanation:

 *   *    *

let the middle digit is a letter.

as first and second letters are same so consider them as one letter.

It can be filled in 26 ways.

third place is filled in 10 ways (0,1,2,3,4,5,6,7,8,9)

total number of ways=26×10=260 ways

again consider second place is a digit.

so consider second and third place as one digit.

it can be filled in ways=10

first place can be filled in ways=26

Hence number of ways=26×10=260

so total number of ways=260+260=520

A company advertises that all of its bottles will now contain 20% more shampoo. jill writes the expression x+0.2x to represent how many ounces of shampoo will now be in a bottle that originally had x ounces. which expression also shows an increase by 20%

Answers

The third expression

9. A motocross ramp is 12 feet tall and 24 feet long. What is the slope of the 1
ramp as a fraction in lowest terms? (Think rise over run.) *
12 ft
24 ft
O 12/24
O 24/12
O 1/2
0 2/1

Answers

Answer:

1/2

Step-by-step explanation:

12 is the rise 24 is the run

12/24 simplified is 1/2

The required slope of the given ramp is given by 1/2. Option C is correct.

Given that,
A motocross ramp is 12 feet tall and 24 feet long. What is the slope of the ramp as a fraction in the lowest terms is to be determined.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the ramp is evaluated as,
= vertical height / horizontal distance,
= 12 / 24
= 1 / 2

Thus, the required slope of the given ramp is given by 1/2. Option C is correct.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2


Evaluate 2^−1 + 2^−1.

Answers

Answer:

1

Step-by-step explanation:

2^−1 + 2^−1

2x2^-1

1

A local school has clubs. The number of students in each club is shown in the bar graph below. Use this bar graph to answer the questions.

(a) Which club has the most students?

Drama

Glee

Debate

French

Math

Chess
How many students does that club have?

(b) How many more students are in the Glee Club than in the Debate Club?

(c) How many clubs have fewer than 6 students?

Answers

C is correct I think

Pls help me I'm stuck

Answers

Answer

72°

Step-by-step explanation:

[tex]because\ AC=AB\ therefore\ < ACB= < ABC=6x\\ And\ because\ the\ sum\ of\ the\ angles\ of\ a\ triangle\\ is\ 180\ .\\ therefore\ < ACB+ < ABC+ < CAB=180\ degrees\\ 3x+6x+6x=180\ degrees\\ 15x=180\ degrees\\ x=12\ degrees\\ < ABC=6x=6\times12\ degrees=72\ degrees[/tex]

I hope this helps you

:)

Answer:

∠ABC = 72°

Step-by-step explanation:

When we look at the triangle carefully, we can see a bar on AC and AB. Those bars define that AC and AB are equivalent. This also means that the triangle is isosceles. Since this triangle is isosceles, the base angles of the triangle are equivalent.

⇒ AB = AC

We also know that the sum of its interior angles must be 180°.

⇒ ∠A + ∠B + ∠C = 180

Let's substitute their angle measures.

⇒ 3x + 6x + 6x = 180                                         [∠BAC = 3x; ∠ABC = ∠ACB = 6x]

Now, let's solve for x.

⇒ 3x + 6x + 6x = 180

⇒ 15x = 180

⇒ 15x/15 = 180/15

x = 12

Now, substitute the value of x into "6x" to find ∠ABC.

∠ABC = 6x

⇒ ∠ABC = 6(12)

∠ABC = 72°

4
(17) Billy has a babysitting job where he works the exactly 23
hours every day. After 16 days, how many hours will Billy
have worked?

Answers

Answer: 368 hours

Step-by-step explanation:

if hes working 23 hours every day, he will have worked 16x23 = 368 hours in 16 days

Determine the x- and y-intercepts of the graph of 3x+9y=18. Then plot the intercepts to graph the equation.

Answers

Answer:

[tex]x[/tex] intercept is at (6, 0).

[tex]y[/tex] intercept is at (0, 2).

Step-by-step explanation:

Given the equation of graph:

[tex]3x+9y=18[/tex]

To find:

[tex]x[/tex] and [tex]y[/tex] intercepts of the graph and then plotting the graph.

Solution:

[tex]x[/tex] intercept is the point on graph where the value of [tex]y[/tex] coordinate is zero.

[tex]y[/tex] intercept is the point on graph where the value of [tex]x[/tex] coordinate is zero.

Putting [tex]y=0[/tex] :

[tex]3x=18\\\Rightarrow x = 6[/tex]

So, [tex]x[/tex] intercept is at (6, 0).

Putting [tex]x=0[/tex] :

[tex]9y=18\\\Rightarrow y = 2[/tex]

So, [tex]y[/tex] intercept is at (0, 2).

Plotting the points of [tex]x[/tex] and [tex]y[/tex] intercepts on the graph and joining them to form the graph of given equation.

A 0.32-kg ball is moving horizontally at 30 m/s just before suddenly bouncing off a wall Just after the bounce, it is moving horizontally at 25 m/s but in the opposite direction. DOK 1 (4 marks) (a) What is the magnitude of the change in momentum of the ball during the bounce? (b) What percentage of the ball's original kinetic energy was lost in the collision?

Answers

We will see that the change in momentum is P' - P = -17.6 kg*m/s, and the percentage of kinetic energy lost is 30.56%.

How to get the change in momentum?

The momentum is given by the product between the mass and the speed.

So the original momentum is:

P = 0.32kg*30m/s = 9.6 kg*m/s

After the bounce, the new velocity is -25m/s, then the new momentum is:

P' = 0.32kg*-25 m/s = -8 kg*m/s

The change in momentum is:

P' - P = -8 kg*m/s - 9.6 kg*m/s = -17.6 kg*m/s

How to get the change in kinetic energy?

The kinetic energy is:

KE = (1/2)*M*v^2

The initial kinetic energy is:

KE = (1/2)*0.32kg*(30 m/s)^2 = 144 J

The final kinetic energy is:

KE =  (1/2)*0.32kg*(-25 m/s)^2 = 100 J

The percentage lost is:

P = 100%*(144 J - 100J)/(144 J) = 30.56%

If you want to learn more about the momentum, you can read:

https://brainly.com/question/7538238

solve for x please help me

Answers

Answer:

wpowie

Step-by-step explanation:hhh

800x40 explanation pls

Answers

Answer:

800x40=32000

Step-by-step explanation:

Basically its 800 40 times.

Answer:

32,000

Step-by-step explanation:

First put 800 over 40

Second, multiply the 3rd zero by the first zero of 40

Multiply the 2nd zero by the same zero of 40

Multiply 8 by 4 and the result should be 800

Then you multiply 800 by 4.

0 x 4 is 0

0 x 4 is 0

8 x 4 is 32

(Make sure you add the zero from 40)

Put it together and you get 32,000


5. The diagram shows two paths that lead through a park. Would a jogger run a greater distance on Path A
or Path B? Explain.

Answers

Answer:

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

Step-by-step explanation:

A d = 15
B c= 30
C b = 20
D a=9

Answers

Answer: A, C, D

Step-by-step explanation:

If 5 a = 45, ba= 1, then b=​

Answers

Answer:

1/9

Step-by-step explanation:

5a=45

divide it by 5 and a will =9

9b=1

divide 1 by 9

you get 1/9=b

therefore 9x1/9=1

What is the answer for 20−2⋅7+1−(−3)+10

Answers

Answer:

20

Hope that helps!

Answer:

2

Step-by-step explanation:PEMDAS first multiply 2 and 7 you get 14 then add 1 that's 15 then add 10 that's 25 after that subtract 20 thats 5 then subtract 3 that's 2

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