Equation of a line that goes through point (4,2) and perpendicular to -x+y=1

Answers

Answer 1

Answer:

y= -x + 6

Step-by-step explanation:

-x + y =1 ---> y = x+1

the line perpendicular to this line should have negative inverse slope

the slope is 1 so the negative inverse of 1 is -1

set up

y = -x +b

since it goes through (4,2)

then we have

2 = -4 +b

b=6

so the linear equation is y = -x+6


Related Questions

please help please! -2/5x -9 < 9/10

Answers

Answer:

x>99/4

Step-by-step explanation: hope this helps :)

x>94 basically the same answer as the other one

what is the volume of a cube 4cm length 4cm height 4cm width ​

Answers

Answer:

64

Step-by-step explanation:

because the formula for the volume of a cube is edge (4) to the power of 3

4 to the power of 3 is 64

What is a triangle with at least two congruent sides called?

Answers

isosceles triangle I think

i will give brainliest if you give me the right answer.

Answers

Given Equation:-

[tex]\red{➤}\:[/tex][tex]\sf \dfrac{6+8x}{2} = 5x[/tex]

[tex]\\[/tex]

To Find:-

[tex]\orange{☛}\:[/tex][tex]\sf Value \:of \: x [/tex]

[tex]\\[/tex]

Solution:-

[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf \frac{6+8x}{2} = 5x \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 6+8x= 5x×2 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 6+8x= 10x \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 8x-10x= -6 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf -2x = -6 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf x = \frac{-6}{-2} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {x = 3}} \\\end{gathered} [/tex]

Remember-

On Transfering the terms to other side of equation-

+ changes to -

- changes to +

× changes to ÷

÷ changes to ×

What is 43.2 divided by 16? in standard algorithm.

Answers

Answer:

2.7

Step-by-step explanation:

thats the answer

What is the radius of a sphere with a volume of 28526^3 to the nearest tenth of an inch?

Answers

Assuming you meant inches^3, V=4/3pir^3, substituting gives 28526=4/3pir^3 which simplifies to (3)(28526)/(4pi) which is equal to 6810 taking the cube root gives us the radius, 18.95

1. What is the greatest common factor of 36 and 42?
A. 12
B. 8
C.6
D.2

Answers

Answer:

The answer is C. 6

Step-by-step explanation:

36/6=6

or

6x6=36

42/7=6

or

7x6=42

I hope this helped. I wouldn't mind a brainlist either!

4x - 5y = 10 whats the answer

Answers

Answer:

the slope is 4/5. y-intercept: ( 0,-2)

Step-by-step explanation:

I hope this is what you wanted!!

Find the slope of the line given the following points on the line:

(1, 5) and (2, 8)

Answers

Answer:

3

Step-by-step explanation:

Graph and count and you should get 3

Is -1 bigger than 32 positive

Answers

No, -1 is less than 32.

-1<32

-1 is in the negatives, so its less

Hope that helped:)

guys please help i’m so confused

Answers

Answer:

4

Step-by-step explanation:

(x1,y1)(x2,y2)

(2,8)   (0,0)

0-8 / 0-2 = -8/-2

simplify -8/-2 = 4

Answer:

4.

Step-by-step explanation:

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

-  that is rise / run.

We use the points (2, 8) and (2,0) ( - the last point is vertically below (2,8) and is on the x axis)

Here y2 = 8, y1 = 0, x2 = 2 and x1 = 0.

So the slope = (8-0)/(2-0)

= 4

Write the length of the line below as a sum. Then combine like terms.

Answers

3/4x+2/3x

1 5/12x

Step-by-step explanation:

9/12x + 8/12x= 17/12x = 1 5/12x

The distance, d in meters, that an accelerating object travels is given by
d=1/2*a*t^2
, where a is the acceleration rate in meters per second squared
and t is the time in seconds. A motorbike accelerates from a stop with
an acceleration of 40 meters per second squared over a distance of 60
meters. About how many seconds did the motorbike travel?
A. Between 4 and 5 B. Between 2 and 3 C. 1
D. Between 1 and 2 E. 2

Answers

Answer:

B.Between 2 and 3

Step-by-step explanation:

60÷40

=3/2

please help ASAPPPPPPPPPPP

Answers

Answer:

TanQ=20/21

Step-by-step explanation:

since we know that

TanQ= opposite/Adjacent

so we are going to calculate for the adjacent using Pythagoras theorem

a^2+b^2=c^2

20^2+b^2=29^2

400 + b^2=841

b^2=841-400

√b^2=√441

b=21

so our tanQ= opp/adj

tanQ=20/21

why is the imposter sus?1???111

Answers

Answer:

Step-by-step explanation:

Because he do be sussing

graph f(x)=3x+5 and g(x)=3x-2

Answers

Answer:

Two parallel lines

Step-by-step explanation:

the slopes are the same: slope = 3

f(x) 3x + 5                          g(x) = 3x - 2

Pick at least three x values and find their corresponding values for y. Remember the f(x)  and g(x) represent y

                                   f(x) = 3x + 5                           g(x) = 3x - 2

                                    y = 3x + 5                              y = 3x - 2

let x = 0                       y = 3(0) + 5                              y = 3(0) - 2

                                     y = 5                                         y   =  -2

Ordered pair                (0, 5)                                        (0, -2)

Let x = 1                      y = 3(1) +5                                y  = 3(1) - 2

                                  y = 8                                         y = 1

ordered pair                (1, 8)                                        (1, 1)

Let x = -1                  y = 3(-1) + 5                               y = 3(-1) - 2                  

                                  y = 2                                        y =  -5

ordered pair             (-1, 2)                                         ( -1, -5)

Locate the ordered pairs and draw the graph on the lines.  

you will graph two parallel lines        

Find The sales price. Round to the nearest cent. Show your work

$800.25 smart TV; 56% discount

Answers

If a smart tv is 800.25 and the discount is 56% it would be 14.29 because your rounded to the nearest cent.

Play Station Plus costs $60.00 for a yearly (12 Months) subscription. What is the unit price per month?
Show your work. And Explain why you pick that answer!

Answers

Five dollars a month 60 divided by 12 = 5$
10 dollars your welcome

Solve the inequality
20 < 5x + 15

Answers

Answer:

x>1

Step-by-step explanation:

20 < 5x +15

20 - 15 < 5x

5 < 5x

1< x

x>1

Which choice shows the product of 23 and 39?
(23)(39) = 897
23 · 39 = 777
23 + 39 = 62
23 x 39 = 677

Answers

Answer:

(23)(39)

Step-by-step explanation:

When you have to look for the "product" of two numbers, it implies multiplication.

With this, get rid of 23 + 39 = 62 as an answer.

Now simply enough, multiply 23 by 39,

23 * 39 = 897

Meaning that A. (23)(39) = 897 is the answer.

Trayvon enters a competition to guess how many balls are in a barrel. Trayvon’s guess is 63 balls. The actual number of balls is 60. What is the percent error of Trayvon’s guess?

Answers

Answer:

+5%

Step-by-step explanation:

Trayvon's guess, 63, is 3 higher than the actual number of balls.  We compare 3 to 60:  3/60, or 1/20.  Multiplying this result by 100%, we get 5%.  The percent error is 5%.

You have 130 feet of fencing to build a rectangular sheep pen. What is the area of the
largest pen you can build?

HELP ASAP

Answers

Answer:32.5

Step-by-step explanation:

Damaris cut three strips of paper to use as the three sides of a triangle. The first two strips are 6 inches and 9 inches long, respectively. Which length could be the length of the third side of Damaris’s triangle?

Answers

Using triangle concepts, it is found that the length of the third side of Damaris’s triangle could be any value greater than 3 inches and less than 15 inches.

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

Considering 6 inches and 9 inches the smallest sides:

[tex]x < 6 + 9[/tex]

[tex]x < 15[/tex]

Considering 9 inches as the greater side:

[tex]x + 6 > 9[/tex]

[tex]x > 9 - 6[/tex]

[tex]x > 3[/tex]

The length of the third side of Damaris’s triangle could be any value greater than 3 inches and less than 15 inches.

A similar problem is given at https://brainly.com/question/24175053

Prouvez par récurrence que quel que soit n EN\{0}, on a
1/1.2 + 1/2.3 + …. + 1/ n.(n+1) v= 1- 1/n+1

Answers

The left side is equivalent to

[tex]\displaystyle \sum_{k=1}^n \frac1{k(k+1)}[/tex]

When n = 1, we have on the left side

[tex]\displaystyle \sum_{k=1}^1 \frac1{k(k+1)} = \frac1{1\cdot2} = \frac12[/tex]

and on the right side,

[tex]1 - \dfrac1{1+1} = 1 - \dfrac12 = \dfrac12[/tex]

so this case holds.

Assume the equality holds for n = N, so that

[tex]\displaystyle \sum_{k=1}^N \frac1{k(k+1)} =1 - \frac1{N+1}[/tex]

We want to use this to establish equality for n = N + 1, so that

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+2}[/tex]

We have

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = \sum_{k=1}^N \frac1{k(k+1)} + \frac1{(N+1)(N+2)}[/tex]

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+1} + \frac1{(N+1)(N+2)}[/tex]

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac{N+2}{(N+1)(N+2)} + \frac1{(N+1)(N+2)}[/tex]

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac{N+1}{(N+1)(N+2)}[/tex]

[tex]\displaystyle \sum_{k=1}^{N+1} \frac1{k(k+1)} = 1 - \frac1{N+2}[/tex]

and this proves the claim.

Daniel sells bracelets for $0.5 each. How many bracelets can he sell for $6.35

Answers

Answer:

He can sell 12 bracelets.

Step-by-step explanation:

6.35/0.5 will give u your answer!

A plane travel 216 miles per hour
Work out an estimate for how many seconds it takes to travel in 1 mile.

Answers

Answer: 18 seconds


Explanation:

There a 60 minutes in one hour. There are 60 seconds in one minute.

60 multiplied by 60 is 3600.

Therefore the plane travels 213 miles in 3600 seconds. To find out how many seconds it takes the plane to travel 1 mile : Divide 3600 by 213.

Because this is an estimation. We can divide 3600 by 200

which equals = 18

Select all ratios equivalent to 3:2.
13:1
26:10
24:16

Answers

24:16


24 divided by 3 = 8

8 x 3 = 24
8 x 2 = 16

The length of a rectangle is 3 ft longer than its width.
If the perimeter of the rectangle is 70 ft, find its length and width.

Answers

Answer:

The length is 16 and the width is 19.

Step-by-step explanation:

We'll represent width with the letter w, and length with l.

w = l + 3

The perimeter is all four sides, so perimeter = 70ft = (2w) + (2l)

We will replace w with l + 3.

70 = 2(l + 3) + (2l)

2 (l + 3) = (l + 3) + (l + 3)

and 2l = l + l, so

70 = l + 3 + l + 3 + l + l = 4l + 6

We subtract 6 from both sides.

64 = 4l

then we divide both sides by 4

16 = l

Remember width = length + 3, so

16 + 3 = w

19 = w

Just to check:

2(length) + 2(width) = perimeter

2(16) + 2(19) = 70

32 + 38 = 70

which of the following is gravity not responsible for?

Answers

Full question

8. Which of the following is NOT a role of gravity in erosion?

A. It moves glaciers down slope.

B. It loosens the land materials ANSWER

C. In mountains, it moves down large slabs of rocks.

D. It acts as agents of mass wasting like landslides, fall, mudflows, and avalanches​

The measures of three sides of a triangle are 14 inches, 5 inches, and 12 inches. Determine whether the triangle is a right triangle. Show work to support your reasoning.

Answers

Answer:

we have the sides of the triangle, which are 14, 5, and 12 inches.

in a right angled triangle, the longest side is the hypotenuse

and pythagoras’s theorem is used/ can be used.

a^b + b^2 = c^2 where c is the hypotenuse

so we know a = 12, b = 5, and c = 14

now check whether the statement is true

we should get c = 14 if it’s a right triangle

12^2 + 5^2 = c^2

144 + 25 = c^2

169 = c^2

√169 = 13 = c

so since we got 13 for c and it’s not 14

we know that this isn’t a right angled triangle

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