Use slope to determine if lines AB and CD are parallel, perpendicular, or neither. A(0,2), B(5,4), C(1,8), and D(3,3). What is the slope of line CD? Enter as a ratio in its lowest terms.

Answers

Answer 1

Answer:

Perpendicular, CD has a slope of -5/2

Step-by-step explanation:

Parallel lines have the same slope, perpendicular have slopes that are negative reciprocals, or in other words if one slope is m then the other's slope is -1/m and if it is neither fo those then it is neither parallel or perpendicular.  Also,  if two lines have the same slope you have to make sure they are not the same line.  

Now, to find the slope  when you have two points you use the formula (y2 - y1)/(x2 - x1), where the points are (x1, y1) and (x2, y2).  You can make either point point 1 or point 2.  Just make sure x1 and y1 are from one point and x2 and y2 are from the other point.  

So the two lines are AB and CD.  Since the question asks I will start with CD.  The points are (1,8) and (3,3)  So I will call C point 1 and D point 2.  

(y2 - y1)/(x2 - x1)

(3 - 8)/(3 - 1)

-5/2

Thankfully this is lowest terms.

Now for AB.  A will be point 1 and B will be point 2

(y2 - y1)/(x2 - x1)

(4-2)/(5-0)

2/5

So they are not the same, so what if you take negative 1 over one of the slopes.  

well. -1/(2/5) = -5/2

So these are perpendicular.  

If you would like an explanation for how to find the full equation of a line I can explain that.  


Related Questions

Using the order of operations, what should be done first to evaluate 12+(-6)(3)+(-2)?
O Divide 12 by 5.
O Multiply -6 and 3.
O Divide 12 by -6.
Add 3 and -2.

Answers

Answer:

hello there...

you know BODMAS for sure

First brackets then of then divi then multi then add and then subtract

going by BODMAS

we need to first of all multiply of -6 and 3

hence ans is multiplying -6 and 3

( option 1 Is wrong by the equation u sent if the equation is correct then ans is which given bur by options I think equation is wrong becoz I don't see divide symbol)

Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces? (the answer is NOT 61 or 62.)

Answers

Answer:

x=61.71428 or 61 5/7

Step-by-step explanation:

We can use a ratio to solve

7 pieces              12 pieces

-----------------   = ---------------

36 seconds          x seconds

Using cross products

7x = 36*12

7x = 432

Divide by 7

7x/7 = 432/7

61 5/7

x=61.71428

Answer:

66

Step-by-step explanation:

What is the negative square root of 0.25?

Answers

Answer:

-0.5

Step-by-step explanation:

You start with a given set of rules and conditions and determine something to
be true. What type of reasoning did you use?
O A. deductive
O B. inductive
C. logical
D. conditional

Answers

Answer:

i use logical reasoning

The perimeter of a rectangle is 64 feet. If one side of the rectangle has a length of 20 feet. How long is the other side?


Please answer thanks

Answers

Answer:

b=12

Step-by-step explanation:

Perimeter=2*(l+b)

64=2*(20+b)

b=12

Answer:

The width is 12 feet

Step-by-step explanation:

If the length is 20 feet, the other side must be 20 feet as well. The perimeter is the addition of all sides of a rectangle. Length: 20 on one side, 20 on other side. Subtract the length from total perimeter and you get 24 feet remaining. Divide 24 by 2. 12 feet for the width.

A student recorded the weight of potatoes she used for a science fair project. Read


the data. For each potato, draw an X above the line plot to show its weight.


B


E


1


Weight in


읍 유 2 / 4 1 2 3 4 2


A


Potato


С


3


D


F


G


H


2


4


pounds


Кеу


1 potato = x


4.


4


O


2


4.


4


What is the total weight of all the potatoes? Give your answer in simplest form.


3


What is the difference in weight between potatoes that weigh 4 pound and those that


weigh pound? Give your answer in simplest form.

Answers

what?

Step-by-step explanation:

I dont understand

3. How many right angles and parallelogram has​

Answers

Answer:

parallelogram has 4 right angle.

Answer:

It has 4 angles

Step-by-step explanation:

Please help could you explain or show work so I will remember how to do problems like this?

Problem: 4x - (x - 4) = - 20

I desperately need a good grade because this is my first grade.

Correct answer is brainiest!

Answers

Answer:

x = -8

Step-by-step explanation:

4x - (x - 4) = - 20

Distribute the minus sign

4x - x +4 = -20

Combine like terms

3x+4 = -20

Subtract 4 from each side

3x+4-4 = -20-4

3x = -24

Divide by 3

3x/3 = -24/3

x = -8

Answer:

x = -8

Step-by-step explanation:

4x - (x - 4) = -20

~Simplify

4x - x + 4

~Subtract 4 to both sides

3x = -24

~Divide 3 to both sides

x = -8

Best of Luck!

What is the length of BD?

Answers

Answer:

BD = 10 √3

Step-by-step explanation:

ABC ∆ ,

BD ÷ 20 = sin 60

BD = 20 sin 60

BD = (20 √3) / 2

= 10 √3

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

D. 769.7 ft^3

Step-by-step explanation:

because area of a solid is area of the base times the height, so to find the area of the base, it is pi*r^2(3.14*7^2), and that equals to 153.94, times that by 5 and you get 769.7 ft^3

(x^2+12x+36)-(x-1)^2
x^2-4xy+4y^2
16x^2-8x+1
x^2+4x+4
4x^2+12xy+9y^2
x^2-8x-16
4x^2-16
x^2-1
x^2+6x+9
9x^2-25y^4
16x^2-8x+1

Answers

Answer:

Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)

Step-by-step explanation:

a store sells a 1 1/4 pound of turkey for 9 dollars what is the unit price of the turkey in the package

Answers

Answer:

7.20 dollars

Step-by-step explanation:

1 1/4 can be expressed as 5/4 ((1*4+1) /4)

If price of 5/4 pound of turkey = $9

Price of 1 pound of turkey = $9 / (5/4)

( Same way you'd divide the price of 2 pounds by 2 to get the price of 1 pound)

$9 / (5/4) = $7.2

I WILL GIVE BRAINLIEST!! NO LINKS PLZ

Simplify.

Answers

Answer:

[tex] \large{ \tt{❃ \: S \: O \: L \: U \: T \: I \: O \: N \:❃ }}[/tex]

[tex] \large{ \tt{❊ \: S \: T \: E \: P \: S \: ❊}}[/tex]

[tex] \huge{ \tt{ \: \frac{4 \sqrt{6} }{5 \sqrt{3} } = \frac{4 \: \cancel{ \sqrt{6}} \: ^{\sqrt{2}} }{5 \: \cancel{\sqrt{3} }} }} = \: \boxed{\frac{4 \sqrt{2} }{5} }[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{⤻ \: OUR \: FINAL \: ANSWER : \boxed{ \tt{ \frac{4 \sqrt{2} }{5}}}}}}} [/tex]

Note : In the second step , I divided √6 by √3 as a result of it , I got √2

- Hope this helps! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any other help! :)

find the measure of one interior angle for the following regular polygon ​

Answers

Answer:

144 degrees

Step-by-step explanation:

We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:

(n-2)(180) = ?

(10-2)(180) = ?

(8)(180) = 1440.

Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).

1,440/10 = 144

               = 144 degrees

if 20,x,y,z,25 are in AP .find the value of X,y,z.​

Answers

Answers:

x = 21.25y = 22.5z = 23.75

=============================================================

Work Shown:

AP = arithmetic progression, which is the same as arithmetic sequence

d = common difference

x = 20+dy = 20+2dz = 20+3d

Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.

So that must mean 25 is the same as 20+4d

20+4d = 25

4d = 25-20

4d = 5

d = 5/4

d = 1.25

and therefore,

x = 20+d = 20+1.25 = 21.25y = 20+2d = 20+2*1.25 = 22.5z = 20+3d = 20+3*1.25 = 23.75

We could convert these to fraction form, but I find decimal form is easier in this case.

please help!! will give brainliest

Answers

Answer: 320

Step-by-step explanation:

Step 1) Identify Number of options for each set

For the entree, you have 4 options, for the sides, you have 4 options, and for the drink you have 5

Step 2) Find all possible outcomes

4 options for the entree × 4 options for the first side × 4 options for the second side × 5 options for the drink

Step 3) Solve

4 × 4 × 4 × 5 = 320

Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus 0). Which best describes Venita’s error?

Answers

Answer:

8b(4a-1)

Step-by-step explanation:

32ab-8b

8b(4a-1)

Answer:

Did ur question get answered ??

Step-by-step explanation:

Point A is located at (0, 4), and point C is located at (−3, 5). Find the x value for the point B that is located one-fourth the distance from point A to point C.

Answers

Answer:

x = (-2 , 4.5)

Step-by-step explanation

Hope it helps! later!

[tex]3(x+2)2+4(x+2)+1=0\\[/tex]

Answers

Answer:

-3

-7/3

Step-by-step explanation:

Let u=x+2

We need to now solve 3u^2+4u+1=0 for u.

I'm going to try factoring. 3u (u)=3u^2 and 1(1)=1 so I'm going to try factored form (3u+1)(u+1).

Since 3u(1)+1(u)=4u, we are done.

Since (3u+1)(u+1)=0, then either 3u+1=0 or u+1=0.

Let's solve u+1=0 by subtracting 1 on both sides which obtains for us that u=-1.

Let's solve 3u+1=0 by subtracting 1 and then dividing both sides by 3 which obtains for us u=-1/3.

Since u=x+2, we are down to just solving the following:

x+2=-1 and x+2=-1/3

Both equations require us to subtract 2 on both sides.

The solutions are

x=-1-2=-3 and x=-1/3-2=-7/3

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol {} Let : t=x+2 \ \ ; \ \ t^2=(x+2)^2\\\\3(x+2)^2+4(x+2)+1 =0 \\\\\\3t^2+4t+1=0 \\\\D=16-12=4 \\\\ t_{1}=\dfrac{-4-2}{6} =-1 \ \ ; \ \ \boxed{x_1=-3 }\\\\\\ t_2=\dfrac{-4+2}{6} =-\dfrac{1}{3} \ \ ; \ \boxed{x_2=-2\frac{1}{3} }[/tex]

What is the common ratio of the geometric

Answers

the answer is B. 7

Step-by-step explanation:

it's the number u see the most therefore its the most common

Answer:

D. 10 maybe?

Step-by-step explanation:

because it moves a decimal with every number. im not sure I hope it's correct. it adds on a zero

for f (x)= -x + 8, what is the value of x for which f(x) = 9?

Answers

Answer:

x=-1

Step-by-step explanation:

f (x)= -x + 8

Let f(x) = 9

9 = -x+8

Subtract 8 from each side

9-8 = -x+8-8

1 = -x

Multiply each side by -1

-1 = x

If you have to invest in an account that pays 5.3 compound annually, after 10 years how much interest is earned

Answers

Rate=5.3 per year Time=10

[tex]\\ \sf\longmapsto Interest=Rate\times Time[/tex]

[tex]\\ \sf\longmapsto Interest=5.3(10)[/tex]

[tex]\\ \sf\longmapsto Interest =53[/tex]

It means that if your principal is $100 after 10years you will receive $53 as interest

Step-by-step explanation:

[tex]thank \: you[/tex]

The sweet shop sells licorice at $9.40 per kg. How much would 250g of licorice cost?

Answers

Answer:2,350$


9.40 x 250=2350

Answer:

Step-by-step explanation:

1kg=1000

the sum of four consecutive even numbers is 1052. find these numbers

Answers

Answer:

Answer is down below.

Step-by-step explanation:

To find the answer, we will have to use basic Algebra in order to view the solution.

Let the first number be = x

Let the second number be = x+2

Let the third number be= x+4

Let the fourth number be= x+6

(We did the x+ part because consecutive means following continuously..)

Now let's put the equation:

x+x+2+x+4+x+6 = 1052

Let's add all the variables and numbers separately in order to simplify:

4x+12 = 1052

Subtract 12 on both sides.

4x = 1040

Divide 4 on both sides

x = 260

Now, we know the value of x. Let's put it in our numbers.

Let the first number be = x = 260

Let the second number be = x+2 = 262

Let the third number be= x+4 = 264

Let the fourth number be+ x+6 = 266

Now, let's double check to see if our answers are correct.

260+262+264+266 = 1052

Valla! They are.

Hope this Helps! Please Mark Brainliest!

Mark Brainliest please

Answer : 260,262, 264 & 266


Let the four consecutive even numbers be:

(X), (X+2), (X+4), (X+6)
Their sum is 1052.

(X) + (X+2) + (X+4) + (X+6) = 1052


Expanding

4X + 12 = 1052

4X = (1052 - 12) = 1040

X = 260
(X+2) = 260+2 = 262
( X+ 4) = 260 + 4 = 264
(X+6) = 260+6 = 266

The diameter of a wheel of a car is 30cm. If the car travels at an average speed of 13.2m/s, find the number of revolutions made by the wheel per hour, giving your answer correct to the nearest whole number.

Answers

Answer:

Approximately [tex]50420[/tex] revolutions (rounded to the nearest whole number.)

Step-by-step explanation:

Convert the diameter of this wheel to meters: [tex]d = 30\; \rm cm = 0.30\; \rm m[/tex].

Circumference of this wheel:

[tex]\pi \, d = \pi \times 0.30\; \rm m \approx 0.942\; \rm m[/tex].

Distance travelled in one hour:

[tex]\begin{aligned}v \cdot t &= 13.2 \; \rm m \cdot s^{-1} \times 3600\; \rm s \\ &= 47520\; \rm m\end{aligned}[/tex].

Number of revolutions required for covering that distance:

[tex]\displaystyle \frac{47520\; \rm m}{(\pi \times 0.30\; \rm m)} \approx 50420[/tex].

what is 2x 3 -7x^{3}−7x 3

Answers

Answer:

It is given that

4x/3−7x/3=1

Step-by-step explanation:

By further calculation

−3x/3=1

So we get

−x=1

x=−1.

Where do I get the second number from? I’m confused lol

Answers

Answer:

(1, 0)

Step-by-step explanation:

You have to follow the horizontal line when the coordinate x=1, until the y-axis, so you'll realize that y=0

Answer:

2/2,0/2 = (1,0)

Step-by-step explanation:

(3,1)(-1,-1)

midpoint (x1+x2)/2,(y1+y2)/2

Hello :) how to do this?

Answers

Answer:

Please see the attached pictures for the full solution.

[tex]\boxed{ \frac{d}{dx} ( {x}^{n} ) = n {x}^{n - 1} }[/tex]

Find n.
help pleaseeee

Answers

Answer:

C

Step-by-step explanation:

Im pretty sure its c, i took this test not too long ago.

Write the equation in standard form then factor the left side of the equation. 2x^2=28-x

Answers

Answer:

Step-by-step explanation:

Standard for is 5x=28. Factoring gives you x=28/5

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