Tell one the lines for the given points are parallel, perpendicular, or neither. Just your answer.
Line 1: (2, -3), (-4, -6)
Line 2: (-3, 2), (2, -8)

Answers

Answer 1

Answer:

Perpendicular

Step-by-step explanation:

Given

[tex]Line\ 1: (2, -3), (-4, -6)[/tex]

[tex]Line\ 2: (-3, 2), (2, -8)[/tex]

Required

Tell the relationship between both lines

We start by calculating the slopes (m) of both lines.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For Line 1:

[tex]m_1 = \frac{-6 - (-3)}{-4 - 2}[/tex]

[tex]m_1 = \frac{-6 +3}{-4 - 2}[/tex]

[tex]m_1 = \frac{-3}{-6}[/tex]

[tex]m_1 = \frac{1}{2}[/tex]

For Line 2:

[tex]m_2 = \frac{-8 - 2}{2 - (-3)}[/tex]

[tex]m_2 = \frac{-8 - 2}{2 +3}[/tex]

[tex]m_2 = \frac{-10}{5}[/tex]

[tex]m_2 = -2[/tex]

The lines are not parallel because [tex]m_1 \ne m_2[/tex]

However, they are perpendicular, because:

[tex]m_1 = -\frac{1}{m_2}[/tex]

To prove this, substitute values for m1 and m2

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

[tex]\frac{1}{2} = \frac{1}{2}[/tex] --- Proved


Related Questions

1. What is 1.25 into a fraction? 2. What is 2.5 into a fraction?

Answers

Answer:

1.25 in a fraction= 5/4

2.5 in a fraction= 5/2

Step-by-step explanation:

i used a calculator

Use the drawing tools to graph this system of inequalities. Remember that isolating y is a helpful first step before graphing each inequality.
x + y > 4
2× - y > 2​

Answers

Answer:

look at picture

Step-by-step explanation:

The graph that represents the inequality is given.

What is inequality?

Inequality is a relationship where two expressions or values are not equal to each other.

For origin test, substitute x=0, y=0 into the first inequality.

0+0>4

Since the obtained inequality is not true, the origin will not be included in the shaded region.

For origin test, substitute x=0, y=0 into the second inequality.

2(0)-0>2

0>2

Since the obtained inequality is not true, the origin will not be included in the shaded region.

In both inequalities, since the equal to "=" sign is not included, the lines will be dotted.

Plot the dotted lines, x+y=4 and 2x-y=2 on the same graph and shade the region not including the origin.

Thus, the graph of the given system of inequalities is given in the image.

To learn more about inequality click:

https://brainly.com/question/28823603

#SPJ5

Dylan is comparing prices of yarn for a project. The prices and quantities from four stores are shown.
Store 1
Store 2
Store 3
Store 4
2 yards
10 feet
$2.50
12 feet
$3.40
5 yards
$4.00
$1.85
From which store should Dylan make his purchase if he wants to get the best price per unit?
A. Store 1
B. Store 2
C. Store 3
D. Store 4

Answers

Answer:

Store 3

Step-by-step explanation:

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Store 3
Wwwwwwwwwwwwwwwwwwwwweee

I really need help ASAP

Answers

I wanna say it’s C because -4+4 does equal zero. But the directions aren’t to clear. But that would be my answer.

A plant farm sells bundles of rose bushes. Each bundle contains 150 rose bushes and has the same ratio of hybrid tea roses, climbing roses, tree roses, and miniature roses. A landscaper purchased i bundle of rose bushes and found the bundle contained 9 climbing roses. He buys a second bundle of rose bushes for a large planting job he needs to complete, bringing his total to 300 rose bushes. How many of the roses being planted will NOT be climbing roses?

A. 282
B. 318
C.18
D. Not here​

Answers

Answer:

since all bundles contain the same amount of each type of rose, and one bundle has 9 climbing roses. two bundles will have 18 climbing roses. the question wants to know how many roses out of the two bundles won't be climbing roses. so you need to do: 300 - 18 = 282

the answer is A

Step-by-step explanation:

i hope this helps :))

Answer: 282

HOPE THIS HELPS

3. Find the perimeter of the diagram. Round to the nearest
hundredth.

Answers

the answer is 16.77

fdmlksafndslakgfnlksdaajglsdanlkfsdalkfsad

Click the parts of the grid to shade 20% of the whole grid.

Am I supposed to shade in the whole grid if not please tell me how much to shade

Answers

Answer:u fill in 4 tiles

It’s a 4x5 square so there is 20 tiles

And 20 divided by 4 equals 5

So if u fill in 4 tiles it’s like filling in 1/5 aka 20%

1 3/7 ÷ 1/14 need help with this

Answers

it’s 20 :) hope this helps

Answer:

20

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

10/7÷1/14

Applying the fractions formula for division,

=10×14/ 7×1

=140/7

Simplifying 140/7, the answer is

=20

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

what is 2/3 equivalent to?

Answers

Answer:

4/6

Step-by-step explanation:

.66666667 just divide!

How long would it take to travel 315 mi at the rate of 45 mi/h?

Answers

Answer:

7 hours

Step-by-step explanation:

Answer:

s=vt

t=s/v=315/45=7hours

23) Find the area of the semi-circle. 18 in​

Answers

Answer: 127.23 in. ^2

Step-by-step explanation: if the radious is 9 with is half of 18in that area of a whole cicle would be 254.47in. so just divide by 2

Two pounds of grapes cost $6. What is the price of 1 pound of grapes?

Answers

Answer:

$3

Step-by-step explanation:

You divide 6 by 2

A pair of shoes is on sale for 15% off. With this discount the customer saves 9$ if they buy the shoes. How much did the shoes cost?

Answers

15 = 0.25x
1500 = 25x
60 = x

The original price was $60.
The price will be $60

Is (1, -2) a solution to the following inequality? *
y > x + 3
Yes, it is a solution or
No, it is not a solution.

Answers

Answer:

NO

Step-by-step explanation:

x=1

y=2

2>1+3

2>4

Answer:

No it is not a solution

Step-by-step explanation:

1.)plug in the numbers to the equation y > x+3

After you plug it in solve:

-2 > 1 + 3

-2 > 4

this is false because 4 is greater than -2 so it should look like this -2<4

but because it doesn't, this is false

Z
8
10
y=
51
O
39
O 37


Answers

Answer:

erylium Be Z=4, A=10 ... Oxygen O Z=8, A=16 ... Vanadium Va Z=23, A=51 Rubidium Rb Z=37, A=85.5. Strontium Sr Z=38, A=88. Yttrium Y Z=39, A=89

Step-by-step explanation:

i need help evaluating

Answers

I’m guessing 27 4? I’m not sure

I need more of y’all’s wisdom.

Answers

Answer:

13

Step-by-step explanation:

divide 4x by 4 making it x divide 52 by 4 making it

x=13

Answer:

13

Step-by-step explanation:

I really need help
If AD = 12 and AC = 4y-36, find the value of y

Answers

Answer:

y=12

Step-by-step explanation:

in that case, then 12 = 4y -36

12 =4y -36

12+36=4y

48=4y

48/4=y

12=y

answer :y=12

Answer:

y = 15

Step-by-step explanation:

Consider that the attached screenshot is the figure given in the problem. Also consider that DC = 12, due to the fact that AD = 12, and there is a midpoint at point D.

AD + DC = AC

12 + 12 = 4y - 36

24 = 4y - 36

+ 36      + 36

60 = 4y

60/4 = 4y/4

y = 15

Jenny has $25 and she earns $10 for each lawn that she mows. Jenny wants to buy a concert ticket that costs $65.

Answers

Answer:

She needs to mow 4 lawns

Step-by-step explanation:

Help a girl out due in two mins

Answers

the answer is 36


if you need an explanation let me know but i’m answering quickly because it’s due soon,, have a good day !! :))

Answer:

The answer is 36

Step-by-step explanation:

so the "sum" means to add all of the terms: 1^3+2^3+3^3

1^3 is simply 1

2^3 means 8

3^3 means 27

so, from there, you just add all of those terms: 1 + 8 + 27 = 36

Use the Distributive Property to simplify the expression. 7(8 + y)

Answers

Answer:

56+7y

Step-by-step explanation:

7*8 = 56

7*y = 7y

56 + 7y

Answer:

[tex]\huge\boxed{\bold{56+7y}}[/tex]

Step-by-step explanation:

Hi there!

Let's simplify this expression using the Distributive Property.

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

Now, let's use this property to solve our math problem:

[tex]\bold{7(8+y)}[/tex]

[tex]\bold{7*8+7*y}[/tex]

[tex]\bold{56+7y}[/tex]

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-):-)}[/tex]

Please help ASAP 25 pts + brainliest. please show work

Answers

Answer:

it's answer is C. .80

Step-by-step explanation:

With reference angle A

base (b) = 8

Hypotenuse (h) = 10

Now

Cosine A

= b / h

= 8 / 10

= 0.8

It is A as the answer

Step-by-step explanation:

1.multiply 8×10

2.multiply 80 ×6

3.the answer will be over 100 so it has to be A

WILL GIVE BRAINIEST ANSWER! PLS HELP

The slope of the line below is 1. Write the point-slope equation for the line
using the coordinates of the labeled point.
(5,7)

Answers

Answer:

y-7=(x-5)

Step-by-step explanation:

to understand the solving stepsyou need to know aboutlinear equation i.g point-slope PEMDASgiven:m=1(x1,y1)=(5,7)let's solve:

point-slope form is y-y1=m(x-x1)

so the point-slope equation is

y-7=1(x-5)=y-7=(x-5)

Which expression has the same meaning as m16√?

Answers

Answer:

m8

Step-by-step explanation:

got it right on ttm

Answer:

m^8

Step-by-step explanation:

it waz right for me

please help 15 points

Answers

x(1)= -3 and x(2)= 3
The expression is not factorable with rational numbers.
x
2
+
x

9

Solve the system of equations -x+y=15−x+y=15 and -5x-3y=27−5x−3y=27 by combining the equations

Answers

Answer:

Solution: x= -36, y=51

Step-by-step explanation:

Solve the system:

  x +   y = 15

-5x - 3y = 27

By using the reduction method.

Multiply the first equation by 3:

 3x + 3y = 45

Add it to the second equation:

3x - 5x = 45 + 27

Simplifying:

-2x = 72

Dividing by -2:

x = 72/(-2)

x = -36

From the first equation:

-36 + y = 15

Adding 36:

y = 15 + 36 = 51

y = 51

Solution: x= -36, y=51

i’m not sure which one is wrong could anyone help ? :(

Answers

the first one is 1/2 bh
so you would do 4.5 * 6 which is 27 try that

Need help urgently extra points and mark brainlist sorry this is not math it’s reading and is very easy

Answers

Answer:

people who live in a place

Step-by-step explanation:

duh

What is the value of X

Answers

Answer:

the answer is 70.

Step-by-step explanation:

Since x and 80 are non-adjacent co-interior angles with respect to ( 2x +10 )

So,

x + 80 = 2x + 10 ( sum of two non-adjacent co-interior angles is equal to the exterior angle of that triangle )

=> 80 - 10 = 2x - x *( switching sides of x and 10 )

=> 70 = x

So, the value of x is 70

x + 80 = 2x + 10 (exterior angle property)

2x -x = 80 -10

x = 70

I’m timed please help

Answers

Answer: the first one is correct
B D E that’s the answer
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