Segment AB falls on line 2x − 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?

They are perpendicular because they have the same slope of −2.

They are perpendicular because they have slopes that are opposite reciprocals of −2 and .

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:

They are perpendicular because they have slopes that are opposite reciprocals of −2 and .

Step-by-step explanation:

The given lines are

[tex]2x-4y=8[/tex]

[tex]4x+2y=8[/tex]

Let's rewrite each equation in the form [tex]y=mx+b[/tex]

[tex]2x-4y=8\\2x-8=+4y\\y=\frac{2x-8}{4} \\y=\frac{x}{2}-2[/tex]

[tex]4x+2y=8\\2y=8-4x\\y=\frac{8-4x}{2}\\ y=4-2x[/tex]

Now, let's use the perpendicular rule

[tex]m_{1} \times m_{2} =-1\\\frac{1}{2} \times (-2)=-1 \implies -1=-1[/tex]

As you can observe, the slopes satisfy the perpendicular rule, that means the lines are perpendicular.

Therefore, the right answer is the second choice because it states the rule of perpendicularity between the given lines.

Answer 2

Answer:

They are perpendicular because they have slopes that are opposite reciprocals of −2 and .

Step-by-step explanation:

I took the test and the dot is 1/2


Related Questions

Pls answer this question ​

Answers

Answer:

i think it's surface area units are squared

Step-by-step explanation:

volume units are cubed (eg: cm^3) & surface area units are squared (eg: cm^2)

Order the cones from least volume to greatest volume
Cone A r=5 inches h=6 inches
Cone B r= 7 inches h=4 inches
Cone C r=6 inches h=5 inches

Answers

Answer:

Cone A, Cone C, Cone B

Step-by-step explanation:

The volume of a cone is V=πr^2h/3 where V represents the volume, r represents the radius, and h represents the height.

That means the volume of cone A would be:

V = π * 5^2 * 6/3

V = π * 25 * 2

V = 50π

And the volume of Cone B would be:

V = π * 7^2 * 4/3

V = π * 49 * 4/3

V = 65.33π (about)

Lastly, the volume of Cone C would be:

V = π * 6^2 * 5/3

V = π * 36 * 5/3

V = 60π

65.33π > 60π > 50π

Therefore, Cone B has the largest volume, then Cone C, and, lastly, Cone A.

Find the height of the tree.
05
19
021
20

Answers

The answer is 20 if you round the answe

Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and has

10 pens left for himself.

Answers

Answer:

Im assuming they want to know how many were given to each friend? each friend would get 5 gel pens

Step-by-step explanation:

subtract the 10 that ram kept for himself from the original 35,you get 25,then divide 25 by 5 (because there is 5 friends ) which is 5 gel pens per friend

Suppose you will perform a test to determine whether there is sufficient evidence to support a
claim of a linear correlation between two variables. Find the critical values of r given the
number of pairs of data n and the significance level a.
n=12. a.= 0.01​

Answers

Answer:

The critical values of r are -0.708 and 0.708.

Step-by-step explanation:

A statistical test is being performed to determine whether there is any linear correlation between two variables.

The hypothesis can be defined as follows:

H₀: There is no  linear correlation between two variables, i.e. ρ = 0.

Hₐ: There is a significant linear correlation between two variables, i.e. ρ ≠ 0.

The test statistic is given as follows:

[tex]t = \frac{r\sqrt{n-2}}{\sqrt{1-r^{2}}}[/tex]

The degrees of freedom of the test is:

[tex]\text{df}=n-2=12-2=10[/tex]

The significance level of the test is, α = 0.01.

The critical values of r are:

[tex]r_{\alpha/2, (n-2)}=r_{0.01/2, (12-2)}=r_{0.005, 10}=\pm0.708[/tex]

*Use the r critical value table.

Thus, the critical values of r are -0.708 and 0.708.

From the 'r' table, the values of 'r' are -0.708 and 0.708.and this can be determined by using the hypothesis test.

Given :

Suppose you will perform a test to determine whether there is sufficient evidence to support the claim of a linear correlation between two variables.Number of pairs of data n and the significance level a is n = 12, a = 0.01​.

The hypothesis test is performed in this problem. The null and alternate hypothesis is:

[tex]\rm H_0 : p=0\\[/tex]

[tex]\rm H_1:p\neq 0[/tex]

The t-statistics is given by:

[tex]\rm t =\dfrac{r\sqrt{n-2} }{\sqrt{1-r^2} }[/tex]

Degree of freedom is given by:

df = n - 2 = 12 - 2 = 10

The significance level for this test is [tex]\alpha = 0.01[/tex]

Now, the critical value r is given by:

[tex]\rm r_{\alpha /2,(n-2)}=r_{0.01/2,(12-2)}=r_{0.005,10} = \pm0.708[/tex]

So, from the 'r' table, the values of 'r' are -0.708 and 0.708.

For more information, refer to the link given below:

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AB has endpoints at A(2,6) and B(6,8). What are the coordinates of the midpoint

Answers

The answer is (4,7)

look at the attached picture

Hope it helps..

Good luck on your assignment

The coordinates of the midpoint of the segment whose endpoints are A(2, 6) and B(6, 8) will be (4, 7).

What is the midpoint of line segment AB?

Let C be the mid-point of the line segment AB.

A = (x₁, y₁)

B = (x₂, y₂)

C = (x, y)

Then the midpoint will be

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

AB has endpoints at A(2, 6) and B(6, 8). Then we have

(x₁, y₁) = (2, 6)

(x₂, y₂) = (6, 8)

Then the mid-point will be

x = (2 + 6) / 2

x = 8 / 2

x = 4

y = (6 + 8) / 2

y = 14/2

y = 7

Then the coordinates of the midpoint of the segment whose endpoints are A(2, 6) and B(6, 8) will be (4, 7).

More about the midpoint of line segment AB link is given below.

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Please help me out with this please

Answers

The diameter of the circle is 8 units.

Circumference = pi x diameter

Circumference = 3.14 x 8 = 25.12 units.

The answer is B 25.1

Help please! 2 questions!!!!​

Answers

Answer:

1. 50

2. 12

Step-by-step explanation:

Answer:

2. 50 stamps

3. 12 minutes

Step-by-step explanation:

2. Darius had 15 stamps, then he ordered 3 rolls. You can determine how many he got from the rolls by subtracting the total from 15. 165 - 15 = 150.

Now we know that there were 150 stamps in the rolls Darius ordered. Divide 150 by 3 (3 rolls) to find the number of stamps in each roll!

150/3 = 50.

3. First, remember that 1 hour = 60 minutes.

We want to find how long America played soccer on Monday, which is the same amount of time she played on Tuesday and Wednesday as well. This means we can subtract Thursday and Friday's time from 60 minutes, then divide that time by 3, to find the time she played on Monday.

60 - 14 - 10

= 36 minutes

Now, we divide 36 minutes by 3 to get 12 minutes.

Question 8 of 10
2 Points
For any nonnegative real number a, (√a)^2 = ____.
A. √a
В. а
C. 1
D. a^2​

Answers

Answer:

B

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] = [tex]a^{\frac{1}{2} }[/tex]

Thus

([tex]\sqrt{a}[/tex] )² = [tex]a^{\frac{1}{2} }[/tex] × [tex]a^{\frac{1}{2} }[/tex] = [tex]a^{(\frac{1}{2}+\frac{1}{2}) }[/tex] = [tex]a^{1}[/tex] = a → B

f(x)=4x^+1 and g(x)=x^-5 find (f+g)(x)

Answers

[tex]f(x)=4x^1 \\ g(x)= {x}^{ - 5} \\ (f+g)(x) \\ 4x + {x}^{ - 5} \\ [/tex]

express with a postive exponent

[tex]\\ 4x + \frac{1}{{x}^{5} } \\ write \: all \: numerators \: above \\ a \: comon \\ denominator \\ \frac{ {4x}^{6} + 1 }{ {x}^{5} } \:[/tex]

Bryce did chores every single day in september.It took Bryce 7/8 hours to completing his chores on 20 of the days.The remaining days of the month it took him 1 hours to complete his chores.How many hours did Bryce do chores in September?(there are 30 days in September). ANSWER STEP BY STEP. PLZZZ ANSWER I REALLY NEED HELP

Answers

Answer:

Step-by-step explanation:

Because Bryce did 7/8 hours every day for 20 days,

7/8 hours is 52.5 minutes.

so then times 20, you will get 1050 minutes.

Then divided by 60(minutes per hour) you will get 17.5 hours,

which means she did 17 hours and 30 minutes in the first 20 days,

then you plus the last 1 hour per day for 10 days,

you will get 10 hours plus 17 hours and 30 minutes.

So Bryce have worked 27 and 30 minutes in september.

(I wish this could help you)

Answer:

27.5 hours

Step-by-step explanation:

Total hours:

20*7/8 + 10*1= 35/2+10=17.5+10= 27.5 hours

Please tell me which option it is !?!?

Answers

Answer:

it is the second option. answer is x[tex]\leq[/tex]-8/3 or x>4

Step-by-step explanation:

we have the inequality 3x+8/x-4=0

we first multiply both sides by 4 the 4 cancels out on the left-hand side and  4*0 is 0 so we now have 3x+8=0 then we subtract both sides by 8 and get 3x=-8 then we divide both sides by 3 and get x=-8/3  

x[tex]\leq[/tex]-8/3 works in the original inequality

-8/3[tex]\leq[/tex]x[tex]\leq[/tex]4 does not work

x>4 does work

Answer:

its the first one I promise I even used a special calculator to be sure it is 100% the first option trust me

Please answer the attachment below correctly!

Answers

Answer:

Step-by-step explanation:

The other factor has 4 decimal places because the number of decimal places in a product is the sum of number of decimal places in the factors.

Example = 4.3 * 2 = 8.6

      4.3 * 0.2 = 0.86

Find the value of x.

Answers

Answer:

x=47.41662784

Step-by-step explanation:

take sin 28° multiplied by 101 because sin equals opposite/hypotenuse. in this case (sin 28=x/101). (101*sin 28=x)

Answer:

x=47.41662784

Step-by-step explanation:

What is the following product?

RootIndex 3 StartRoot 4 EndRoot times StartRoot 3 EndRoot
2 (RootIndex 6 StartRoot 9 EndRoot)
RootIndex 6 StartRoot 12 EndRoot
RootIndex 6 StartRoot 432 EndRoot
2 (RootIndex 6 StartRoot 3,888 EndRoot)

Answers

Answer:

RootIndex 6 StartRoot 432 EndRoot  

Step-by-step explanation:

To find the following product

[tex] \sqrt[3]{4} \times \sqrt{3} [/tex]

we can rewrite the radicals and then replace them into the multiplication, as follows:

[tex] \sqrt[3]{4} = 4^{\frac{1}{3}} = 4^{\frac{1}{3} \times \frac{2}{2}} = 4^{\frac{2}{6} = \sqrt[6]{16}[/tex]

[tex] \sqrt{3} = 3^{\frac{1}{2}} = 3^{\frac{1}{2} \times \frac{3}{3}}} = 3^{\frac{3}{6}} = \sqrt[6]{27} [/tex]

[tex] \sqrt[3]{4} \times \sqrt{3} = \sqrt[6]{16} \times \sqrt[6]{27} = \sqrt[6]{16 \times 27} = \sqrt[6]{432} [/tex]

Answer:

C edge 2021 :)

Step-by-step explanation:

Find the value of n (picture provided)

Answers

Answer:

B

Step-by-step explanation:

Absolute value works like this.

For any number you put inside the absolute value bars, it will always come out positive, so -5 and 5 can work.

The sides of a triangle measure 15 cm, 20 cm, and 25 cm.

What is the area of the triangle?

Answers

This is by Heron’s formula
Mark me the brainliest

21.05 divided by 0.2

Answers

Answer:

[tex]\frac{21.05}{0.2}=105.25[/tex]

Step-by-step explanation:

you have to do long division, but there is a number of steps, too many to put in here, but just check on calculator if you want to make sure

21.05 divided by 0.2 equals to 105.25

What is division?

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

The process of dividing a number up into equal parts, and finding how many equal parts can be made.

Division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members.

Given that, 21.05 divided by 0.2

So, 21.05 ÷ 0.2 = 21.05/0.2

Multiply by 100

= 21.05 x 100 / 0.2 x 100

= 2105/20

= 421/4

= 105.25

Hence, 21.05 divided by 0.2 equals to 105.25

Learn more about divisions, click;

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hi can anybody tell me the answer i will mark them as brainlest

Answers

Answer:

A cuboid has 6 faces its that simple

A) is a parallelogram

B) a cuboid has 6 faces

please help with my HOMEWORK question

please explain step by step what to do I need help

what is 16-2t=5t+9

Answers

Answer:

t = 1

Step-by-step explanation:

16 - 2t = 5t + 9

1) First move 5t to the left side

16 - 2t - 5t = 9

2) Then move 16 over to the right side

-2t -5t = 9 - 16

3) simplify both sides

-7t = -7

4) divide both sides by 7

-t = -1

5) divide both sides by -1

t = 1

Hope that helped : )

Arthur is organising his collection of DVDs. He has 112 altogether.
The ratio of comedy films to
action to horror is 6 : 7 : 3
How many of each type of DVD does he have?
Comedy
Action
Horror

Answers

Answer:

42 Comedy, 49 Action, 21 Horror

Step-by-step explanation:

6 comedy : 7 action : 3 horror = 16 parts or if you think of it as a fraction, 16 is the denominator and the numbers for each ratios are the numerators

112 (the total)/16 = 7 movies per part

6 parts of comedy = 6 x 7 = 42

7 parts action = 7 x 7 =49

3 parts horror = 3 x 7 = 21

Another way to think of it is:

(ex. comedy)

6/16=x/112

(CROSS MULTIPLY HERE)

16x=672

x=42

What is the slope of a line between the points (-4,-3) and (4, -2)?

Answers

Answer:

slope is 1/8

Step-by-step explanation:

you have to substitute the values of x and y into the equation below:

after simplifying your answer would be 1/8

How to calculate the height of an object using trigonometry

Answers

Answer:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Step-by-step explanation:

a is the height

b is the base

c is the hypotenuse

Answer:

Step-by-step explanation:

I have sent a pic. Instead of tree, any other object you are finding the height of.

-If f(x) = 4x - 6 and g(x) = 2x, find Ax) g(x).
A. 6x² – 8x
B. 6x2 – 12x
C. 8x2 - 12x
D. 6x - 6

Answers

Answer:

Step-by-step explanation:

2x(4x -6)

8x^2 - 12x

the answer is c

WILL GIVE BRAINLIST AND THANKS IF CORRECT

Solve this equation:

3(x+2)+2x=21

Answers

Answer:

x=3

Step-by-step explanation:

First distribute the 3!

3x+6+2x=21

Then, combine like terms.

5x+6=21

Move the 6 to the other side

5x=15

Divide each side by 5

x=3

The answer is 3.
Check the steps
⬇️

Ari is arranging her coin collection. She has 11 pennies, 5 nickels, 8 dimes, 7 quarters, and 9 half-dollars. If she chooses one at random, what is the probability that it is a penny?

Answers

The percentage would be 27.5 because you add the 11, 5, 8, 7, 9 up and then divided by 11 to get your percentage. So percentage should be 27.5% and a fraction would be 11/40

A college student reads an online ad for concert tickets and purchases a $200 ticket with the money that his parents
gave him for his textbooks.
The student's choice to spend the money his parents gave him on a concert ticket instead of textbooks is an example of
a(n)

Answers

Answer:

Irresponsible choice

Step-by-step explanation:

If his parents gave him 200 dollars to purchase textbooks. He chose to spend it on concert tickets.

Please let me know if this is correct!!!!!

Solve systems of equations for x + y, please!! 12x - 8y = -12 6x + 4y = -30

Answers

Answer:

x = -3, and y = -3, or the ordered pair is (-3, -3)

Step-by-step explanation

To solve this system, you can use the elimination method:

First, write both equations down.

12x - 8y = -12

6x + 4y = -30

If you multiply the second equation by 2, you can eliminate x. Rewrite the first equation, and multiply the second one by 2:

12x - 8y = -12

12x + 8y = -60

Once added, you get the equation:

24x = -72

x = -3

Now, we just plug -3 into one of the equations and solve for y:

12x - 8y = -12

12(-3) - 8y = -12

-36 - 8y = -12

-8y = 24

y = -3

So, x=-3, and y=-3, or the ordered pair is (-3, -3)

Rotate this shape 90 degrees clockwise... Draw the new shape and label the vertices of the new shape with A’B’C’D’

Answers

Answer:

  see below

Step-by-step explanation:

A 90° clockwise rotation performs the transformation ...

  (x, y) ⇒ (y, -x)

So, for example, point A becomes ...

  A(2, 1) ⇒ A'(1, -2)

If p,q,and r, are any three collinear points such that q lies between p and r find the value of x if pr = 5 x, pq =10, and qr = 3x-2.

Answers

Answ3r:

4

Step-by-step explanation:

I'm kind of going on a limb here....I think  

Answer: The answer is 4

Step-by-step explanation:

P, Q, and R are collinear points.

Q lies between P and R

Therefore ,

PR = PQ + QR

5x = 10 + 3x-2

5x - 3x = 8

2x = 8

x = 8/2

x =4

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