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

Answers

Answer 1

Answer:

[tex]y= -\frac76x +1[/tex]; [tex]y= \frac67x -\frac{78}7[/tex]

Step-by-step explanation:

We know from theory that two perpendicular lines have the product of their slope equal to -1. Let's find the second slope:

[tex]\frac67m = -1 \rightarrow m=-\frac76[/tex]

At this point we can just use the slope-point equation to get our first line:

[tex]y-y_0 = m(x-x_0)\\y-(-6) = -\frac76(x-6) \\y+6= -\frac76x +7\\y= -\frac76x +1[/tex]

Now, we know that two parallel lines have the same slope. Time to apply the same point-slope formula, with the original m this time.

[tex]y-(-6) = \frac67(x-6)\\y+6 = \frac67x -\frac{36}7\\y= \frac67x -\frac{36}7 -{\frac{42}7[/tex]

[tex]y= \frac67x -\frac{78}7[/tex]


Related Questions

tell the answer of the last q i asked pls

q was :-(

Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?​

Answers

He spent on transport = 20%

spent on breakfast = 60/-

spent on lunch = 15%

remaining amount = 340

rs he spent on transport = 20/100 × 340 =68

rs he spent on lunch = 15/100 × 340 = 51

Therefore, total of his pocket money = 68 + 51 + 60 + 340

= ₹519

Can anyone help? I don’t know how to do #28

Answers

Answer:

enlarge the equilateral triangle and put -2

Step-by-step explanation:

HELP ME PLEASE I NEEED A GOOD GRADE DESPERATELY!!!!!
Question: A function has following characteristics:
• From -5 to -3, the function increases.
• From -3 to 0, the function neither increases nor decreases
From 2 to 5, but he function increases.
Which could be the graph(s) of this function?

Answers

Answer:

1.

Step-by-step explanation:

Answer:

The graphs that could be this function are the third one and the last one.

C and E

Hope this helps!

Step-by-step explanation:

Other than C and E, all of the other functions start out by decreasing starting from -5.

They both also have the straight part from -3 - 0 where the function neither increases nor decreases.

They also have the part where from 2 increases to 5.

Old Faithful in Yellowstone National Park shoots water 60 feet into the air that casts a shadow of 42 feet. What is the height of a nearby tree that casts a shadow 63 feet long? Assume the triangles are similar.

Answers

It will be 90 feet considering the water triangle as shown as the figure

how do i do this pls explain the steps

Answers

Answer:

[tex]a^{\frac{15}{2} }[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

([tex]a^{\frac{1}{2} }[/tex] × a)^5

= [tex](a^{\frac{1}{2}+1) }[/tex]^5

= [tex](a^{\frac{3}{2}) } ^{5}[/tex]

= [tex]a^{\frac{15}{2} }[/tex]

Question 1 of 10 According to the Venn diagram below, what is P(A U B U C)?

A. 21/25

B.24/25

C.22/25

D.23/25​

Answers

Answer:

D. 23/25

Step-by-step explanation:

Add all the numbers inside the venn diagram for the number of outcomes

> 10+2+8+8+6+5+7 = 46

Then add all the numbers inside and outside the venn diagram for the number of possibilities

> 10+2+8+8+6+5+7+4 = 50

[tex]p(a \: u \: b \: u \: c \: ) = \frac{total \: number \: of \: outcomes}{total \: number \: of \: possibilities} [/tex]

[tex]p( a \: u \: b \: u \: c) = \frac{46}{50} [/tex]

[tex]p(a \: u \: b \: u \: c \: ) = \frac{23}{25} [/tex]

plz help will mark as brainliest​

Answers

Answer:

Side AB and side BC

Step-by-step explanation:

Hope it helps

PLEASE HURRY ‼️
A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not
replacing it, and then choosing a red marble?

1/16

1/12

1/4

1/2

Answers

Answer:

1/12

Step-by-step explanation:

this is the correct answer

Does the table below represent a function?

Answers

Answer:

Yes

Step-by-step explanation:

It is a function because the x value doesnt repeat itself. The x value is the input

Answer number eleven and thirteen please

Answers

Answer:

Both are right triangles

Step-by-step explanation:

Use Pythagorean to decide

#11

Sides 12, 16, 20

12² + 16² = 20²400 = 400Right triangle#13

Sides 2.4, 4.5, 5.1

2.4² + 4.5² = 5.1²26.01 = 26.01Right triangle

One hundred 50 cents coins have a mass of 690 g what is the mass of one 50 cents coin

Answers

Answer:

25

Step-by-step explanation:

The sum of three times a number and −4 is at most 17.

Answers

Answer:

7

Step-by-step explanation:

17 +4 = 21

21/3 = 7


Simplify: 4x(x^2 – 3x + 1)

A)4x^3 - 7x^2 +5
B)4x^2 – 12x^2 + 4
C) 4x^3 - 12x^2 + 4x
D)4x^2 - 12x + 1

Answers

Answer:

its c

Step-by-step explanation:

4x*x^2= 4x^3

-3x*4x =-12x^2

1*4x = 4x

= 4x^3 -12x^2 + 4x

There are four groups of 20 people walking on a shrew each person walks 3 miles how many total miles do all of the people walk

Answers

The answer is 240 miles. 3(4)(20) = 240

All the peoples in a group walk 240 miles.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

There are 4 groups of 20 peoples.

And, Each person walk 3 miles.

Now,

Since, There are 4 groups of 20 peoples.

So, Total number of peoples in 4 groups = 4 x 20

                                                               = 80

And,  Each person walk 3 miles.

So, The distance cover by 80 peoples = 80 x 3

                                                           = 240 miles.

Thus, All the peoples in a group walk 240 miles.

Learn more about the multiplication visit;

https://brainly.com/question/2811940

#SPJ2

Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of restarting the investment using the interest earned as principal or cashing out at the end of the 8 months, (A) Calculate the interest due after 8 months. (B) if she restarts the investment into a new one calculate the total value of the investment at the end of the second 8 months

Answers

Using simple interest, we have that:

A) The interest due after 8 months is $11,272.33.

B) The total value of the investment will be of $189,986.24.

The amount of interest earning using simple interest, after t years, with an yearly interest rate of i and an initial investment of P is given by:

[tex]E = Pit[/tex]

In this problem:

Deposit of $178,000, hence [tex]P = 178000[/tex].Interest rate of 9.5% per year, hence [tex]i = 0.095[/tex].8 months, the time is in years, hence [tex]t = \frac{8}{12} = \frac{2}{3}[/tex]

Item a:

[tex]E = Pit[/tex]

[tex]E = 178000(0.095)\frac{2}{3} = 11272.33[/tex]

The interest due after 8 months is $11,272.33.

Item b:

For the second interest, we consider [tex]P = 11272.33[/tex], hence:

[tex]E_2 = Pit[/tex]

[tex]E_2 = 11272.33(0.095)\frac{2}{3} = 713.91[/tex]

The total value will be composed by:

The initial deposit of $178,000.The first interest of $11,272.33.The second interest of $713,91.

Hence, it will be:

[tex]T = 178000 + 11272.33 + 713.91 = 189986.24[/tex]

The total value of the investment will be of $189,986.24.

A similar problem is given at https://brainly.com/question/13176347

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.


What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?

Answers

150 because he bought them alot of yes 150 becaus mathamatics

Answer:

150 because he bought them

Step-by-step explanation:

What is the value of this expression?

−29−(−13÷35)

Answers

Answer:

-29 13/35

Step-by-step explanation:

A triangle has two sides of length 7 and 9. What is the largest possible whole-number length for the third side?

Answers

Answer:

15

Step-by-step explanation:

the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side.

7 + 9 = 16

16 must be more than the third side

15 is the largest whole number less than 16

How do I slove Solving Systems Using Matrices in word form like this please help I'm almost don't for the night >_< ;-; :( o-o

Answers

Answer:

Below!

Step-by-step explanation:

2x+4 over 3 - 5x-7 over 2 = 5 solve the equation

Answers

Answer:

x = -1/11.

Step-by-step explanation:

I am interpreting this as:

(2x+4)/ 3 - (5x-7)/2 = 5

Multiply through by the LCM of 2 and 3 ( that is 6):

2(2x + 4) - 3(5x - 7) = 30

4x - 15x + 8 +21 = 30

-11x = 30 - 21 - 8

-11x = 1

x = -1/11.

What is the CONJUGATE of the expression -3 - 4i ?
What is the absolute value of -3 - 4i?
with calculations

Answers

[tex]\text{Conjugate of -3-4i is -3+4i}\\\\|-3-4i| = \sqrt{(-3)^2 + (-4)^2} = \sqrt{9+16} = \sqrt{25} =5[/tex]

DIRECTIONS: Use this information to answer Parts A and B.

Home sold for $286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate agent, which was 6%.

Question 1
Part A

How much commission did the real estate agent earn on the sale?

Part B

How do you know your answer is reasonable?

Answers

Answer:

268,840

Step-by-step explanation:

286,000 x 6% commission= 17,160. you then subtract this commission from the sold price of 286000=$17160

Plug in missing values to make it a function…. Please help

Answers

Answer:

p = 5

Step-by-step explanation:

Judging from (0,0) and (10,-20) as given in the chart, the function is y = -2x.

Substituting that for the second row, you would get the equation -10 = -2x.

Simplifying, you get x = 5, so the value of p is 5.

Answer:

5

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

m = (-20-0)/(10-0)

   = -20/10

  = -2

We know the slope and have two points, (0,0) and (p,-10)

-2 = ( -10-0)/(p-0)

-2 = -10/p

Multiply each side by p

-2p = -10

Divide each side by -2

p = -10/-2

p = 5

6 of 10
Type the expression that results from the following series of
steps:
Start with k, subtract 2, multiply by 6, then add 8.

Answers

☆Answer :

Step step :

k k - 2k - 2 × 6 k - 2 × 6 + 8

-HayabusaBrainly

School OL ROC below
School of Rock
Guitar Bass Drums Keyboard Total
6th grade 13 10 17
20
60
7th Grade
14
17
11
10
8th Grade
18
12
17
16
63
Total
45
51
42
175
What percent of the 7th graders in the School of Rock play keyboard? Round your
answer to the nearest whole number percent,
Submit Anwwer
0

Answers

Using the percentage concept, it is found that 19% of the 7th graders in the School of Rock play keyboard.

The percentage of an amount a relative to another amount b is given by:

[tex]P = 100\frac{a}{b}[/tex]

From the table given:

There are 14 + 17 + 11 + 10 = 52 7th graders, hence, [tex]b = 52[/tex]Of those, 10 play the keyboard, hence [tex]a = 10[/tex]

Then

[tex]P = 100\frac{a}{b} = 100\frac{10}{52} = 19[/tex]

19% of the 7th graders in the School of Rock play keyboard.

A similar problem is given at https://brainly.com/question/10491646

Bryan can run 2 miles in 20 minutes. How many miles can he run in 100 minutes?

Answers

Answer:

If Bryan can run 2 miles in 20 minutes, he can run 10 miles in 100 minutes.

Step-by-step explanation:

To determine the answer to this problem, we can first find how many minutes it takes Bryan to run one mile. Because it takes him twenty minutes to run two miles, it must take Bryan ten minutes to run one mile.

1 mile = 10 minutes

Multiply this by ten to find how many miles Bryan runs in 100 minutes.

10 miles = 100 minutes

Bryan can run 10 miles in 100 minutes.

Answer: 10 miles

Step-by-step explanation: They’re equivalent to the minutes. 20 minutes 2 miles, 40 minutes 4 miles and so on.

PLEASE IM BEGGING PLEASE I RLLY NEED THIS PKS PLS

Answers

Answer:

yeah I don't know why I don't know so please don't ask me

Step-by-step explanation:

ido

I NEED THE ANSWER ASAP. IM BEING TIMED

The following information is known about a savings account.
Time = 6 years
Interest rate = 1.9%
Principal = $850
What amount of total interest will be earned at the end of year 6?

Answers

Answer:

96.90

Step-by-step explanation:

I = PRT

T = 6

P = 850

I = 1.9% = 0.019

I = (850)(0.019)(6) = 96.90 <==

divide £64 in the ratio5 3:

Answers

Answer:

£40 : £24

Step-by-step explanation:

sum the parts of the ratio, 5 + 3 = 8 parts

Divide the amount by 8 to find the value of one part of the ratio

£64 ÷ 8 = £8 , then

5 parts = 5 × £8 = £40

3 parts = 3 × £8 = £24

£64 in the ratio 5 : 3 is £40 : £24

Answer:

24:40

Step-by-step explanation:

Let the ratio be 3x and 5x

3x+5x=64

8x=64

X=8

ratio=3(8):5(8)

24:40

What is the slope of the line that passes through the points (-3,3) and (-3, 13)?

Write your answer in simplest form.

Answers

Answer:

ΔY = 10

Step-by-step explanation:

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