Consider the line y=6×-7
what is the slope of a line parallel to this line?
what is the slope of a line perpendicular to this line?​

Answers

Answer 1

Answer:

The slope of a line parallel to this line will be: 6

The slope of the perpendicular line will be: -1/6

Step-by-step explanation:

We know the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope b is the y-intercept

Given the equation

[tex]y=6x-7[/tex]

Thus, the slope of the line is: 6

The slope of a line parallel to the line:

We have already determined that the slope of the line is: 6

We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: 6

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: 6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

[tex]\frac{-1}{6}\:\:[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=-\frac{1}{6}[/tex]

Therefore, the slope of the perpendicular line will be: -1/6


Related Questions

if I travel 10 miles in a north-east direction, how far to the east did I travel? How far to the north?

Answers

Answer:

I'm not sure what the answer is but I will tell you when I find out

HELPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
coordinate plane with segments AB and A prime B prime with points L, M, N, and O at A 1 comma 2, B 1 comma negative 1, A prime 3 comma 2, B prime 3 comma negative 4, L negative 1 comma 4, M negative 1 comma 2, N negative 1 comma 0, and O negative 1 comma negative 2 segment AB was dilated by scale factor of 2 to create segment A prime B prime. Which point is the center of dilation? O N M L

Answers

Answer:(03.01 LC)

coordinate plane with segments AB and A prime B prime with points L, M, N, and O at A 1 comma 2, B 1 comma negative 1, A prime 3 comma 2, B prime 3 comma negative 4, L negative 1 comma 4, M negative 1 comma 2, N negative 1 comma 0, and O negative 1 comma negative 2

segment AB was dilated by scale factor of 2 to create segment A prime B prime.

Which point is the center of dilation? (1 point)

L

M

N

O

Step-by-step explanation:

To find the center of dilation, plot a line between the corresponding points of the pre-image and the image. First, plot a line through A and A'. Then, plot a line through B and B'.

Answer is M

The soccer team is selling tubs of cookie dough and brownie mix for a fundraiser. Elaina raised $75 by selling one tub of cookie dough and five tubs of brownie mix. Meghan raised $141 by selling three tubs of cookie dough and eight tubs of brownie mix. How much is a tub of brownie mix?

Answers

Step-by-step explanation:

Someone answered another question of this. In simple words the answer is 12 dollars.

i need help someone pls solve this for me

Answers

Answer:

The answer is below

Step-by-step explanation:

1) Let x represent the price of Tacos and y represent the price of Burrito. You where charged $4.80, hence:

2x + 2y = 4.80; Dividing through by 2:

x + y = 2.4         (1)

Your friend was charged $4.00, hence:

3x + y = 4.00     (2)        

Solving equation 1 and 2 simultaneously by subtracting equation 2 from equation 1:

2x = 1.6

x = 0.80

Put x = 0.8 in equation 1:

0.8 + y = 2.4

y = 1.60

The cost of each tacos is $0.80 and the cost for each burritos is $1.60

2) Let x represent the smaller number and y the bigger number, hence:

y - x = 16        (1)

Also:

y = 4x - 5;

y - 4x = -5       (2)

Subtract equation 2 from equation 1 to solve simultaneously:

3x = 21

x = 7

Put x = 7 in equation 1:

y - x = 16

y - 7 = 16

y = 23

The greater number is 23 and the smaller number 7

Which explicit and recursive formulas match the geometric sequence 5, 15, 45, 135...?

Answers

Answer:

155

Step-by-step explanation:

because he's skipping

A leaf falls from the branch that is 24 feet high at a rate of 5 feet every 2 seconds. How high (relative to the ground) is the leaf after 3 seconds?

Answers

Answer:

16.5

Step-by-step explanation:

5 ft every 2 seconds= 2.5 ft per second 3 seconds= 7.5ft

24-7.5=16.5

In the diagram above, <4 = x+30 and
<2 = 2x+15. Find the measure of <4.
<4 = [?]°

Answers

Answer:x=15 so 4=45

Step-by-step explanation:

Answer: x=15 and 4=45

Step-by-step explanation:

Maria found a shirt for $18.90, a pair of jeans for $21, and a pair of shorts for $14.25. She bought the shirt and shorts. If she paid with a $50 bill, how much change did she get?

Answers

She wouldn’t get any change she owes 4.15 dollars moe to pay

Answer:

$16.85

Step-by-step explanation:

since Maria is only buying the shirts and shorts you would add how much this shirt is and how much the shorts are and then subtract that by 50

I need this answered tysm if you do

Answers

Answer: $0.07 per min

Molly is excited to have fresh basil at home. She buys a basil plant that is 90 millimeters tall and puts it on her kitchen windowsill. A month later, the plant is 20 centimeters taller! One night, Molly wants to add some basil to her stir-fry, so she cuts off 12 centimeters. How many centimeters tall is her basil plant now?

(I'm really sorry if I'm asking to much I have some assignments which are hard please help me)

Answers

Answer:

Molly's basil plant is now 17 centimeters

Step-by-step explanation:

90 millimeters=9 centimeters

20cm-12cm=8cm

9cm+8cm=17cm  

hope this helped :)

Examine the numbers listed below. Identify the only number that might be prime. Explain how you know that the other numbers are composite.

Answers

Answer:

im not sure (dont take this down plz) but i think it is 2175 bc i dont belive there are not more then two or three ways to get that #

find exterior angle​

Answers

Answer:

∡3 = 142°

Step-by-step explanation:

28° + 10° + ∡3 = 180° (Sum of angles in a triangle)

38° + ∡3 = 180°

∡3 = 180° - 38°

∡3 = 142°

Alternate method:

38° + ∡3 = 180° (Sum of angles on a straight line)

∡3 = 180° - 38°

∡3 = 142°

Answer:

38 degree + 180 degree = [ sum of angle on a straight line]

3= 180 degree - 38 degree

3= 142 degree.

·

in the simplest terms that is equivalent to 2 1/3

Answers

Answer:

IRREGULAR TERM OF FRACTIONS

Step-by-step explanation:

2 1/3

= 7/3 ANSWER

7/3 is the answer
Explanation: 7:3

Write an equation in point-slope form of the line that passes through the point (3,-5) and has a slope of 2.

Answers

Answer:

Y=2x-11

Step-by-step explanation:

Can some help me fast!

Answers

Answer:

5x +2y =38

5(6) +2y = 38

30 +2y= 38

2y= 8

y= 4

(6, 4)

5(0) +2y =38

2y= 38

y= 19

(0,19)

5(-2) +2y= 38

-10 +2y =38

2y= 48

y=24

(-2,24)

Solve for x

X ÷ 39 = 1204 R38

Answers

Pretty sure X = 46956R, hope this helps!

Answer:

46994

Step-by-step explanation:

x ÷ 39 = 1204 + 38

x ÷ 39 = 1204 + 38

x ÷ 39 = 1242

x ÷ 39 × 39 = 1242 × 39

x = 46994

Which equation is correct?
–14.-2 = -28
-14.-2 = 28
14. -2 = 28
14 -2 = -28

Answers

the second one bc a negxneg is positive

Jamie wants to treat some friends to lunch. He has $40 and knows that the lunch will cost about $7 per person, p. How many people can Jamie buy lunch for?

Answers

It can feed 5 people

Answer:

Yes the answer is 5 people. technically isover but you have round down because you can't feed 5.7 people XD

Step-by-step explanation:

Describe how you know that (8 + 9) + 3 is
equivalent to 8 + (9 + 3). What is the benefit
to using this property?

Answers

The numbers in the brackets needs to be added first and then add the number outside of it next... same goes to the second sum. Both questions have the same answer 20.Benefits are you can quickly identify the correct answer when multiplying and others.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

(8 + 9) + 3 is equivalent to 8 + (9 + 3) using the property of associative.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(8 + 9) + 3 = 17 + 3 = 20

8 + (9 + 3) = 8 + 12 = 20

This is the property of associative.

Thus,

(8 + 9) + 3 is equivalent to 8 + (9 + 3) using the property of associative.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Who can help me with this?

Answers

Answer:

4^2

Step-by-step explanation:

4^-3 × 4^5

= 0.015625 × 1024

= 16

=4^2

Answer:

Step-by-step explanation:

When multiplying the same base to raised to different exponents, all you need to do is add the exponents.

[tex]4^{-3} * 4^5\\= 4^{(-3 + 5)}\\= 4^2\\[/tex]

Find the missing side in the right triangle, Round to the nearest tenth.

please help

Answers

Answer:

17.0

Step-by-step explanation:

right angle with angles 45, 45 and 90

SOHCAHTOA

cos 45 = A/H

Cos 45 = 12/r

r= 12/cos 45

r= 16.97

Two friends, Jordan and Nicole, took summer jobs. Nicole earned $208.80 in 8 hours. The table below represents Jordan's earnings in dollars and cents, y, for working x hours.

Answers

26.1 would be your answer, i THINK. considering you didn't add the table ;-;

Answer:$29.60

Step-by-step explanation:

The table below shows Nicole's earnings on the job.

\text{Time (hours)}Time (hours) \text{Earnings (dollars)}Earnings (dollars)

1010 \$296$296

2222 \$651.20$651.20

2424 \$710.40$710.40

\text{What is Nicole's rate of pay, in dollars per hour?}

What is Nicole’s rate of pay, in dollars per hour?

\text{Rate}=

Rate=

\,\,\frac{\text{Dollars}}{\text{Hours}}

Hours

Dollars

\text{Rate}=

Rate=

\,\,\frac{296}{10}

10

296

\text{Rate}=

Rate=

\,\,29.6

29.6

\text{We get the same rate of pay for every pair:}

We get the same rate of pay for every pair:

\text{Time (hours)}Time (hours) \text{Earnings (dollars)}Earnings (dollars) \text{Rate}Rate

1010 \$296$296 \frac{\$296}{10}=29.6

10

$296

=29.6

2222 \$651.20$651.20 \frac{\$651.20}{22}=29.6

22

$651.20

=29.6

2424 \$710.40$710.40 \frac{\$710.40}{24}=29.6

24

$710.40

=29.6

\text{Nicole's rate of pay is \$29.60 per hour.}

Nicole’s rate of pay is $29.60 per hour.

This is the same as the constant of proportionality between earnings and time.

A car costs $3,500 and costs $4 in gas to drive fifteen miles. If another car costs $4,500 but only need $2 in gas to drive fifteen miles, after how many miles of driving would be the total cost of driving both cars be equal?

Answers

Answer:

500 miles

Step-by-step explanation:

Step one:

A car costs $3,500 and costs $4 in gas to drive fifteen miles

let the total cost be y and let the number of miles be x

y= 3500+4x-----------1

If another car costs $4,500 but only need $2 in gas to drive fifteen miles,

let the total cost be y and let the number of miles be x

y= 4500+2x----------------2

Step two:

Equate the two expressions for the total cost

3500+4x=4500+2x

solve for x

4x-2x=4500-3500

2x= 1000

divide both sides by 2

x= 1000/2

x= 500 miles

c.)
18-2x² when x = -3

Answers

Answer:

0

Step-by-step explanation:

First, we plug in the -3 into the equation:

18 - 2(-3)^2

0

Jamal is stacking boxes of books for the library book sale. Each box contains 24 books. If the stack of boxes is

in the shape of a square-based pyramid, how many books total will there be in a stack of 4 layers?

a. 30

b. 336

c. 28

d. 720

Answers

Answer: it should be 720

Step-by-step explanation:

Y + 2/5x =1 what does y equal?

Answers

the answer is Y=-2/5x+1 :)

The ratio of girls to boys in a class is 3:2. There are 25 students in this class. How many are girls and how many are boys?

Answers

10 boys and 15 girls

Use distributive property to rewrite

1. 4(x + 9)

2. 3 (-2x + 4)

Answers

1. 4x+36

2. -6x+12

and aww your pfp

BRAINLIEST FOR WHOEVER GETS THIS RIGHT!!!

Answers

Answer:

56*a234 =123

a×829

h=234*234*56=2893

-35-490 ÷7+12 PLEASE I NEED HELP URGENT

Answers

Answer: -93

Hope this helps!
Brainliest?

Answer:

-93

Step-by-step explanation:


-35-490 ÷7+12
= -35-(490 ÷7)+12
= (-35-70)+12
= -105 + 12
= -93

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