Line b passes through points (6, 7) and (1, 1). Line c passes through points (7, 10) and (2, 4). Are line b and line c parallel or perpendicular?

Answers

Answer 1

Answer:

b and c are parallel lines

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

Calculate the slopes m of the lines using the slope formula

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

with (x₁, y₁ ) = (6, 7 ) and (x₂, y₂ ) = (1, 1 )

[tex]m_{b}[/tex] = [tex]\frac{1-7}{1-6}[/tex] = [tex]\frac{-6}{-5}[/tex] = [tex]\frac{6}{5}[/tex]

Repeat with (x₁, y₁ ) = (7, 10 ) and (x₂, y₂ ) = (2, 4 )

[tex]m_{c}[/tex] = [tex]\frac{4-10}{2-7}[/tex] = [tex]\frac{-6}{-5}[/tex] = [tex]\frac{6}{5}[/tex]

Since slope are equal then line b and line c are parallel lines


Related Questions

Blanca is considering selling her blossoming art business, but is unsure what fair value would be. A friend in accounting told her she could help if she can calculate her EBIT. She has sold 120 art collages for $300. Her expenses are minimal since she usually uses recycled materials. She estimates it costs her about $4 per collage and she has created 200 collages this year. Help her calculate her EBIT. Annual Revenue Annual Expenses, and EBIT​

Answers

Answer: 15x-4956

Step-by-step

this is

X = 6(2+3[2{7-3)+(4+1)-3]}​

Answers

i’m pretty sure the answer is 192

(Modified ex que Two years ago, Kim Ean invested RMP in her account which earns r% simple interest. After 18 months, she noticed that the amount had become RM10,450 and today the amount is RM10,600. Find the value of P and R.​

Answers

Answer:

r= 3% P=10k

using formula S=P(1+rt)

substitute 2 diff range time and it will form 2 equation. To find r u need to divide those 2 equation. after finding r u can find P by substitute the value of r in either one of those equation. hope it can helps you

solve pls brainliest

Answers

5 and 7/10, 5.749, 5.78, and then 113/20

PLEASE HELP ME WITH THIS PLEASE!!!!!

Answers

Answer:

9)x=-4

10)x=5

11)x=4

12)x=-9

13)x=-8

14)x=-3

Step-by-step explanation:

A triangle is 180º total so just add the numbers togeather and make an equation where they x+#s=180.

100 POINTS IF YOU ANSWER ALL OF THESE AND NO LINKS!

Answers

Answer:

divide 8/3

8/3 = 2

and for -11/3 it = -4 because it would originally = to  -3.66666666667 and u have to round it.

----------------------------------

for the second picture

make it into an improper fraction

-2 1/2 = -5/2

and for 6 1/2 it = to 13/2

now, to plot it on the line you have to divide

divide -5/2 = -2.5

and divide 13/2 = 6.5

------------------------------------

Hope this helps!

NEDDDD ASAPPPPP!!!!!!!!!

Answers

Answer:

9

Step-by-step explanation:

4y + 6y = 90

10y =90

y = 90÷10

y = 9

lena sells custom printed tshirts at her shop. she can sell 120 T-shirts in a month if she charges $14 for each tshirt

Answers

Answer:

14(120)t

Step-by-step explanation:

hopes this helps

someoneplz help me plzzzzzzzzzzzz

Answers

Answer:

Whats the question ???

Step-by-step explanation:

What do you need help with?

Find the inverse function.
f(x) = x + 1

f-1(x) = (x + [? ])[ ]

Answers

Answer:

the inverse function is f^-1(x) = (x-1)^3

Mr.E.Terry, an engineer, runs a small business. The accounts for the firm are:

* Bank Automobile HST Payable Miscellaneous Expense
* A/R—Various Equipment E. Terry, Capital Rent Expense
* Office Supplies A/P—Various E. Terry, Drawings Telephone Expense
* Office Furniture HST Recoverable Fees Earned

* Journalize the following transactions, using the general journal page below. Calculate and add the HST on any transactions that need it. The rate for HST is 13%. Do not provide explanations.

Jul. 3 Cheque Copy

No. 105, Chambers Bros., payment for monthly rent $450 plus HST of $58.50,
total $508.50.
5 Purchase Invoice
From Glen Printing, $86.50 for office supplies plus HST
8 Sales Invoice
No. 50 to J. Greenley, $250 for services performed, plus taxes.
10 Cash Receipt
From R. Grieve, $200 payment on account.
18 Cash Sales Slip
No. 100 to E. Webb, $85.50 plus taxes.
20 Cheque Copy
No. 106 to E. Terry, $490 for personal use.
24 Bank Debit Memo
Bank deducted $25.00 for a bank service charge.
29 Cheque Copy
No. 107 to Star Blueprinting, $500 on account.
29 Cheque Copy

No. 108 to Municipal Telephone for payment of telephone bill, $200 plus HST of
$26, total $226.
31 Cheque Copy
The balances in the HST accounts for the previous period were: HST Recoverable
$890 and HST Payable $1410. Cheque 109 was written to the Receiver General
for $520 to clear the accounts for that period.

Journalizing these transactions.

Answers

Journalizing the transactions in the accounts of Mr. E. Terry's firm are as follows:

Debit Rent Expense $450

Debit HST Recoverable $58.50

Credit Cash $508.50

Debit Supplies $76.55

Debit HST Recoverable $9.95

Credit Accounts Payable (Glen Printing) $86.50

Debit Accounts Receivable (J. Greenley) $250

Credit Service Revenue $221.24

Credit HST Payable $28.76

Debit Cash $200

Credit Accounts Receivable (R. Grieve) $200

Debit Cash $85.50

Credit Service Revenue $76.66

Credit HST $9.84

Debit Drawings, Terry $490

Credit Cash $490

Debit Bank Charges $25

Credit Cash $25

Debit Accounts Payable (Star Blueprinting) $500

Credit Cash $500

Debit Utilities Expense $200

Debit HST Recoverable $26

Credit Cash $226

Debit HST Payable $1,410

Credit HST Recoverable $890

Credit Cash $520

Data Analysis:

a. Rent Expense $450 HST Recoverable $58.50 Cash $508.50

b. Supplies $76.55 HST Recoverable $9.95 Accounts Payable (Glen Printing) $86.50

c. Accounts Receivable (J. Greenley) $250 Service Revenue $221.24 HST Payable $28.76

d. Cash $200 Accounts Receivable (R. Grieve) $200

e. Cash $85.50 Service Revenue $76.66 HST $9.84

f. Drawings, Terry $490 Cash $490

g. Bank Charges $25 Cash $25

h. Accounts Payable (Star Blueprinting) $500 Cash $500

i. Utilities Expense $200 HST Recoverable $26 Cash $226

j. HST Payable $1,410 HST Recoverable $890 Cash $520

Learn more: https://brainly.com/question/16889477

answer the question right or I report you

Answers

Answer:

3 ÷ 0.25

Step-by-step explanation:

There are three squares, so 3.

Each square is divided into four squares,

One square out of four squares is,

1 / 4 = 0.25

Therefore,

3 ÷ 0.25

3. They each have a brother who
weighs 40 units. Whose brother
weighs 40 pounds, and whose
weighs 40 kilograms? Explain your
reasoning

Answers

Lin's brother weighs 40 pounds, and Elena's brother weighs 40 kilograms, because kilograms are heavier than pounds and Elena's brother is bigger.

help with question 4 please

Answers

Answer:

dont know

Step-by-step explanation:

sorry

 RST is a right triangle with RS = 12,
RT = 20, and ST = 16. What is sin R?

Answers

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \sf\longmapsto sinR=\dfrac{ST}{RT}[/tex]

[tex]\\ \sf\longmapsto sinR=\dfrac{16}{20}[/tex]

Option B

-1/3x-1/6=2/9 solution

Answers

Answer:

-1  1/6

Step-by-step explanation:

Use a common denominator first to convert all the fractions so they can be easily added or subtracted.

Common denominator is 18 since 3, 6, and 9 can all evenly divide into 18

1/3 = 6/18

1/6 = 3/18

2/9 = 4/18

So now you have

-6/18x - 3/18 = 4/18

add 6/18x to both sides so you can make the number with the variable positive

6/18x - 6/18x - 3/18 = 4/18 + 6/18x simplifies to - 3/18 = 4/18 + 6/18x

subtract 4/18 from both sides

- 3/18 - 4/18 = 4/18 - 4/18 + 6/18x simplifies to - 7/18 = 6/18x

Divide both sides by 6/18 so x is alone on the one side

( - 7/18) / ( 6/18) = ( 6/18x) / ( 6/18)  simplifies to ( - 7/18) / ( 6/18) = x

When you divide a fraction by a fraction, the bottom fraction gets flipped over then you multiply the two new fractions straight across

so the new equation looks like this

- 7/18 times 18/6 and you multiply -7 x 18 = -126 and the bottom is 18 times 6 = 108    you now have  -126/108

x = -126/108  which simplifies to - 1  18/108  which can still be simplified more to -1  1 / 6   since 108 can be divided by 18 that gives you 6.

0.05 divided by 1/10

Answers

Answer:

0.5

Step-by-step explanation:

0.05 divided by 1/10

0.05 : 1/10 =

0.05 * 10 =

0.5

Find the 68th term of the following arithmetic sequence.
16, 23, 30, 37,

Answers

7n+8

Then just go 7(68)+8

=484

Answer:

485

Step-by-step explanation:

first term = 16

second term = 23

common difference= second -. first

=23-16

=7

68 term= a + 67d

=16+67×7

=16 +469

=485

Explain how multiplying with 6 is like multiplying with 3.

Answers

Answer:

Step-by-step explanation:

lets say 6 times 6 =36

3 is a half of six so if you

      6x6=36

     3x6=18

How many solutions does this equation have?

–7c = –7c + 3

Answers

Answer:

0

Step-by-step explanation:

If you move like terms to one side you'll get

-7c + 7c = 3

0c =3

0 = 3

cannot be true, so there are zero solutions

8+4 =17+5

identify and explain the error made by the leaner​

Answers

Answer:

let the value of x

Step-by-step explanation:

x=8+4=17+5

x=12=22x=22/12

x=1.8334

a
A map has a scale of 1cm : 3 km
On the map, the distance between two towns is 7cm.
What is the actual distance between the two towns?
Include units for your answer.
A map has a scale of 1cm : 4 kilometres.
The actual distance between two cities is 52 kilometres.
What is the distance between the cities on the map?

Answers

Answer:

7/3=2.3

1. the distance between the towns is 2.3 km

52/4=13

2. the distance between the cities on the map is 13 cm

Step-by-step explanation:

Which table shows a proportional relationship between x and y?
A.
x y
2 4
3 6
4 9
B.
x y
3 4
9 16
15 20
C.
x y
4 12
5 15
6 18
D.
x y
1 4
2 8
3 15

Answers

Answer:

c is the answer

Step-by-step explanation:

What is 91835 rounded to the nearest Highest Place

Answers

Answer:

90,000

Step-by-step explanation:

I have more question then this

Answers

Answer:

A reflection over the y axis

Step-by-step explanation:

Because reflection is an image produced by or as if by a mirror.


A) 52°
B) 78°
C) 96°
D) 39°​

Answers

it’s is C) angle 96

8x + 104 = 360
8x=256
x= 32
32 x 3 = 96

What methods do you know that can be used to solve a quadratic equation?

Answers

Answer: If the quadratic equation has real, rational solutions, the quickest way to solve it is often to factorise into the form (px + q)(mx + n), where m, n, p and q are integers. This is especially true where the coefficient of x2 is 1.

Example 1 - Solve x2+7x+12=0

Step-by-step explanation:

that's the only one I remember

Answer:

factoring, using the square roots, completing the square and the quadratic formula.

Step-by-step explanation:

The points (-6, 4) and (-4, r) lie on a line with slope 3. Find the missing coordinate r.

Answers

[tex]\\ \sf\longmapsto m=3[/tex]

(-6,4)(-4,r)

[tex]\\ \sf\longmapsto \dfrac{r-4}{-4+6}=3[/tex]

[tex]\\ \sf\longmapsto \dfrac{r-4}{2}=3[/tex]

[tex]\\ \sf\longmapsto r-4=6[/tex]

[tex]\\ \sf\longmapsto r=6+4[/tex]

[tex]\\ \sf\longmapsto r=10[/tex]

50,000 is 20% of what?

Answers

Answer:

250000

Step-by-step explanation:

20% of x is 50000

----------------------------

50000=20x/100

50000= x/5

5(50000) = x

250000 = x

A pillar is fixed at one of the corners of a square meadow. The length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer is found 60°. Find the height of the pillar.
(A) 93.49 m (B) 83.48 m (C) 69.93 m (D) 73.48m​

Answers

Answer:

D. 73.48 m.

Step-by-step explanation:

The diagonal distance across the meadow

= √(30^2+30^2)

= √1800

tan 60 = h / length of the diagonal           (where h = height of the pillar).

h = √1800 * tan 60

= 73.48 m

The required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of 60 degrees is 73.48m

Angle of elevation and depression

The angle situated below the pillar is known as  the angle of elevation

Determine the diagonal distance

The diagonal distance across the meadow is calculated using the Pythagoras theorem:

l = √(30^2+30^2)
l = √1800

Determine the required height of the pillar using the SOH CAH TOA

tan 60 = h/l        

where h = height of the pillar

h = √1800 * tan 60

h  = 73.48 m

Hence the required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer of 60 degrees is 73.48m

Learn more on angle of elevation here: https://brainly.com/question/25748640

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