Consider the line y=7x-5. Find the equation of the line that is perpendicular to this line and passes through the point (-8, -6). Find the equation of the this line that is parallel to the point (-8, -6).

Answers

Answer 1

Answer:

Equation is y = -1/7x - 50/7   or    y = -1/7x - 7 1/7

Step-by-step explanation:

Perpendicular lines slopes are negative reciprocals of each other.

y = 7x - 5  This equation slope = 7 because the slope is the coefficient of the x-term.  

The line that is perpendicular will have a slope of -1/7 ( the negative reciprocal of 7)

Next to find the value of "b" using y = mx + b and slope of -1/7 and point (-8, -6).

y = mx + b

-6 =  -1/7(-8) + b

-6 = 8/7 + b

-6 - 8/7 = b

-50/7 = b

Equation is y = -1/7x - 50/7  or    y = -1/7x - 7 1/7

Answer 2

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]\begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}~\hspace{10em} y = \stackrel{\stackrel{m}{\downarrow }}{7}x - 5\\\\[-0.35em]~\dotfill[/tex]

[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}{\stackrel{slope}{7\to \cfrac{7}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{7}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{7}}}[/tex]

so we know that it has a slope of -1/7 and passed through (-8,-6)

[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6}) ~\hspace{10em} \stackrel{slope}{m}\implies - \cfrac{1}{7} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{-\cfrac{1}{7}}[x-\stackrel{x_1}{(-8)}] \implies y+6=-\cfrac{1}{7}(x+8) \\\\\\ y+6=-\cfrac{1}{7}x-\cfrac{8}{7}\implies y=-\cfrac{1}{7}x-\cfrac{8}{7}-6\implies ~\hfill y=-\cfrac{1}{7}x-\cfrac{50}{7}[/tex]


Related Questions

plz help me i will mark brainest
what is s

Answers

Answer:

12?

Step-by-step explanation:

6/8 = 9/?

8 x 9=72

72/6= 12

Answer:

6 / 8 on the small triangle and 9 on the big one

Step-by-step explanation:

Which of the following describes how to write the decimal number six hundred twenty-seven thousandths?

Answers

Answer:

0.627

Step-by-step explanation:

I will turn the word form of the number into decimal form backwards to make it easier:

7 is in the thousandths place

2 is in the hundredths place

6 in the tenths place

0 being in the ones place

That being said, the word form of a number can be turned into number, decimal, percent and fraction forms! Any other problems involving forms of numbers, you can come to me :D

your friend ran 6 more miles than anna

Answers

Answer:

thanks for the points

Step-by-step explanation:

3. [1,5 punts] Si en un partit el Camp Nou s'ha omplert parts de la seva capacitat, quants espectadors han anat? I si s'ha posat a ploure abans del final del partit i han marxat tres quartes parts dels espectadors que hi havia, quants en queden? Quina part de la capacitat ha quedat? (Capacitat del Camp Nou: 99375 espectadors.)​

Answers

Answer:

ewwe

Step-by-step explanation:

What is x in x^2-x-6=0 pls

Answers

Answer:

x = 2 or -3

Step-by-step explanation:

What is x in x^2-x-6=0 pls

x^2 - x - 6 = 0

x + 2 * x - 3 = 0

x + 2 = 0

x - 3 = 0

x = 2 or -3

Answer:

x= -2 or x= 3

Explanation:

the factors of -6 which sum to -1 are -3 and + 2

(x - 3) (x + 2) = 0

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = −2

x − 3 = 0 ⇒ x = 3

пожалуйста, помогите с векторами!

Answers

Answer:

hi there is that something you can block

no link or bot answer the question

Answers

Answer:

480in

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6 * 8 = 48

48 / 2 = 24

because it's half a square

#14 A scale drawing of a rectangular room measures 2 cm by 4 and 1/4 cm. E
The scale used for the scale drawing is 1/2 cm = 5 ft. Carpeting will cost
$8.50 a square foot. How much will it cost to buy enough carpet to cover
the floor of this rectangular room? (**numbers and decimal only in answer
** NO $$ NO comma**) *

Answers

Answer:

Step-by-step explanation:

Width

1/2 cm = 5 feet

2cm = x                    Cross Multiply

1/2 x = 2 * 5              Combine

1/2 x = 10                  Multiply both sides by 2

x = 20

Length

1/2 cm = 5 feet

4 1/4 cm = x              Cross Multiply

1/2 x = 4 1/4 * 5         Combine the right

1/2 x = 21.25              Multiply both sides by 2

x = 42.5                    

Room Area

Area = 20 * 42.5

Area = 850 square feet

Cost

1 square foot costs 8.5 dollars.

850 square feet costs 8.5 * 850

850 square feet costs 7225  dollars.

Segments BF, CD, and AE are medians for triangle ABC. Point K is the intersection of all three medians. The measure of segment FK is 3.40 cm and segment EK = 1.63 cm. Find the sum of the lengths of segments AK and BK.

Answers

The point of concurrency of the three median is the centroid of the triangle ABC.

The sum of the lengths of AK and BK is 10.06

Reasons:

The given parameters are;

The medians of the triangle ABC = Segments BF, CD, and AE

The  length of segment FK = 3.40

Length of segment EK = 1.63

Required:

The sum of the lengths of segment AK and BK

Solution:

The ratios of the lengths of AK to KE = 2:1

Therefore, we have;

[tex]\dfrac{AK}{KE} = \dfrac{2}{1} = \mathbf{\dfrac{AK}{1.63}}[/tex]

1.63 × 2 = 1 × AK

AK = 3.26

Similarly, we have;

[tex]\dfrac{BK}{KF} = \dfrac{2}{1} = \mathbf{\dfrac{BK}{3.40}}[/tex]

3.40 × 2 = BK

6.80 = BK

Which gives;

AK + BK = 3.26 + 6.80 = 10.06

The sum of the lengths of AK and BK = 10.06

Learn more here:

https://brainly.com/question/7856454

Review of Unit 6 Measurement:
Michael bought 42 feet of baseboard trim to put around the edges of his workout
room. He used 39 feet 5 inches, which means he still has 2 feet 7 inches leftover for
another project or to use for a repair, if needed. True or false?
Helpful conversion fact: 1 foot = 12 inches
True
False

Answers

Answer:

True

Step-by-step explanation:

Brought - the amount used

42 feet - 39 feet 5 inches.  

  42 feet 0 inches  =     41 feet 12 inches

 - 39 feet 5 inches  =  - 39 feet 5 inches

                                       2 feet  7 inches

A water sprinkler covers the area shown in the figure.
It moves through the covered area at a rate of about 5 per second.
What is the measure of the are covered by the sprinkler?
If the sprinkler starts at the far left position,
how long will it take for the sprinkler to reach
the far right position?

Answers

A water sprinkler has a rotational motion in order to reach a broad area

from its stationary location.

The time it takes the sprinkler to reach the far right position is 36 seconds.

Reasons:

The given parameter are;

The angular speed of the water sprinkler, ω = 5° per second

Location where the sprinkler starts = The far left position

Required:

The time it takes the sprinkler to reach the far right position.

Solution;

The angle covered by moving from the far left to the far right, θ = 180°

Time required is given as follows;

[tex]\omega = \mathbf{\dfrac{\theta}{t}}[/tex]

Therefore;

[tex]t = \dfrac{\theta}{\omega}[/tex]

Which gives;

[tex]t = \dfrac{180 ^{\circ}}{5^{\circ}/s} = 36 \, s[/tex]

The time it takes the sprinkler to reach the far right position, t = 36 seconds.

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https://brainly.com/question/14753185

How do you figure out division expression with answer of 19.1

Answers

Answer:

its 5823

Step-by-step explanation:

help urself

1. Evaluate |-x - 2y| for x = -2 and y = 3

Answers

Answer:

4

Step-by-step explanation:

x = - 2

y = 3

l - x - 2y l

= l - ( - 2 ) - 2 ( 3 ) l

= l 2 - 6 l

= l - 4 l

= 4

Wha
kind of hard math do they have you doing

A cheetah can run at its top speed for about 25 seconds. If
the cheetah can run 125 meters in 5 seconds, how far can it
run in 25 seconds? How long will it take it to run 250 meters?
How many meters does it run per second?



No bots plsss

Answers

Answer:

625 meters in 25 seconds

250 meters in 10 seconds

Step-by-step explanation:

125 x 5 = 625

125 x 2 = 250

Need helppppppppppppppp

Answers

Answer: Try square root for the first one.

Step-by-step explanation: I know a lot about graphs tell me if I am right or wrong. Ok?

What is the value of the expression when a = 4, b = 3 , and c = 10?

3a4b−c


1

4

6

12

Answers

we have a = 4, b = 3 , and c = 10

So  3a4b−c = 3 x 4 x 4 x 3 - 10 = 134

ok done. Thank to me :>

7x+14y−3y+12x+32y+54x+2x+8y

Answers

Answer:

it would be 75 + 51

hope this helps

136

Step-by-step explanation:

1.25 is closer to 1.04 or not ?
plz heelp

Answers

Nottttttttttttttttttt

Is 2.34 a rational number?

Answers

Answer:

Yes.

Step-by-step explanation:

2.34 is a terminating decimal, meaning that it ends. Therefore, it is rational.

8.6w+2.2(2w-5)=54
help plz
8th grade math

Answers

w = 5

8.6w + 2.2 (2w-5) = 54

8.6w + 4.4w - 11 = 54

13w - 11 = 54

13w = 65

w = 5

The total measure of the three angles of a triangle is 180° is known as ……………………………… property of a triangle.​

Answers

Answer:

Angle sum property

Step-by-step explanation:

This is because one exterior angle is equal to the sum of the other two interior angles.

The area of Triangle abc is 3cm 4cm 3cm​

Answers

Answer:

Step-by-step explanation:

ASSUMING the given dimensions are the lengths of the legs

we have an equilateral triangle with base 4 and height

h = √(3² - (4/2)²) = √5

A = ½bh = ½(4)(√5) = 2√5 cm²

HELP PLS.... ITS QUICK AND EASY... DUE IN A COUPLE MINS. PLS HELP

Answers

Answer:

see below

Step-by-step explanation:

a) no of hours in a day = 24

no of min in a day = 24 * 60

so min > hours

b) from 0 to 20 all are integers

but few are prime numbers

so integers > primes

c)from -50 to 50

rational numbers are infinite but integers are limited to 101 numbers

so rational > integers

d)1m = 100cm

so always cm > m

If there are 12 girls and 23 boys,
write as a ratio for girls to boys in 3
ways below.
to

Answers

Answer:

12:23

12 to 23

12/23

Step-by-step explanation:

What is the distance between the bank and Hiroto’s house on the map?

Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)

Answers

11? or try 12 because you add 8 then 3

Si caminara 1 2/3 alrededor de la jardinera triangular,Cuantos metros recorrería?

Answers

Answer:

0.0423333333 meters

Step-by-step explanation:

When you convert, you will receive the same result.

What is the surface area of a rectangular brick with a length of 12 in, a width of 8 in, and a height of 6 in?

Answers

Answer:

We can apply the formula for surface area of a rectangular prism here. i.e.

Step-by-step explanation:

A=2(l×w + h×l + h×w), where l is length, h is height and w is width.

As mentioned above, length = 12 cm, width = 8 cm and height = 6 cm.

Therefore

2(12×7+6×12+6×8)=2(84+72+48)=2(204)=408. So the surface area of the brick is 408 square centimetres.

what is another word for Angle 1?

Answers

The angle would be the 3 points surrounding it with the point that the two lines connect to being in the middle:

Angle 1 is GEF

Rico is finding 7.5 × 100
Find and correct his mistake​

Answers

Answer:

Rico moved his decimal to the left instead of to the right. So the answer should be 750

Step-by-step explanation:

When you multiply, your moving the decimal to the right so the number gets bigger.

Hope this helps~! :3

Answer:

750

Step-by-step explanation:

As you move the decimal over to the right 2 places.

This is the credit report for how many people? 

1

2

3

4

2.              How long of a mortgage did Lillie take out? 
a.              40 months
b.              5 years
c.              30 years
d.              360 years 
4.              What accounts does Lillie T. Lane have open at this time? 
a.              One mortgage
b.              One mortgage and one credit card
c.              One mortgage and two credit cards
d.              One mortgage, two credit cards, and one bank account
5.              What is the credit limit on Lillie’s First USA Bank credit card? 
a.              $1,684
b.              $2,695
c.              $5,500
d.              $8,850
6.              What was the highest balance Lillie had on her credit card? 
a.              $1,684
b.              $2,695
c.              $5,500
d.              $8,850
7.              Which statement is true about Lillie’s past due account(s)?
a.              She’s 30 days overdue, by $50, on 1 account 
b.              She’s 30 days overdue, by $50, on 1 account AND she’s 60 days overdue, by $50, on a second account
c.              She’s 60 days overdue, by $50, on 1 account
d.              She’s 90 days overdue, by $50, on 1 account
8.              How many months did Lillie make on-time payments for her line of credit at Astoria Federal Savings? 
a.              29
b.              39
c.              40
d.              You cannot tell from this credit ​

Answers

Answer:

1. 1 person

2. 30 years

3. one mortgage and one credit card

4. $8,850

5. $2,695

6. She’s 60 days overdue, by $50, on 1 account

7. 29 months

Step-by-step explanation:

Answer: yeah hes right the other guy that answered this

Step-by-step explanation:

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